This paper aims to establish the importance of mathematical thinking in the work of Vilém Flusser. For this purpose highlights the concept of escalation of abstraction with which the Czech German philosopher finishes by reversing the top of the traditional pyramid of knowledge, we know from Plato and Aristotle. It also assumes the implicit cultural revolution in the refinement of the numerical element in a process of gradual abandonment of purely alphabetic code, highlights the new key (...) code, together with the technological and telematic culture and uses the concepts of game theory, of probability theory and computing to analize the society and culture. Of particular importance is the affirmation of a new kind of imagination, a projective one, ranging from the model to the world. Today's society and culture can´t be understood without resorting to the concepts and results coined and made ​​in the course of developing a type of thinking entirely dominated by the mathematics. The limits and boundaries of scientific disciplines overlap under number development, requiring reflection and rethinking traditional concepts of social and natural sciences. (shrink)

Ten years after his death, Vilém Flusser’s reputation as one of Europe’s most original modern philosophers continues to grow. Increasingly influential in Europe and Latin America, the Prague-born intellectual’s thought has until now remained largely unknown in the English-speaking world. His innovative writings theorize—and ultimately embrace—the epochal shift that humanity is undergoing from what he termed "linear thinking" toward a new form of multidimensional, visual thinking embodied by digital culture. For Flusser, these new modes and technologies of (...) communication make possible a society in which dialogue between people becomes the supreme value.The first English-language anthology of Flusser’s work, this volume displays the extraordinary range and subtlety of his intellect. A number of the essays collected here introduce and elaborate his theory of communication, influenced by thinkers as diverse as Martin Buber, Edmund Husserl, and Thomas Kuhn. While taking dystopian, posthuman visions of communication technologies into account, Flusser celebrates their liberatory and humanizing aspects. For Flusser, existence was akin to being thrown into an abyss of absurd experience or "bottomlessness"; becoming human required creating meaning out of this painful event by consciously connecting with others, in part through such technologies. Other essays present Flusser’s thoughts on the future of writing, the revolutionary nature of photography, the relationship between exile and creativity, and his unconventional concept of posthistory. Taken together, these essays confirm Flusser’s importance and prescience within contemporary philosophy.Vilém Flusser was born in Prague and taught philosophy in Brazil. Andreas Ströhl is director of the film department at the Goethe-Institut Inter Nationes in Munich. Erik Eisel works for a software technology company in Southern California. (shrink)

Gestures is a collection of essays that proposes a daring and ambitious new conception of human behavior. Defining gesture as “a movement of the body or of a tool attached to the body for which there is no satisfactory causal explanation,” Flusser moves around the topic from different points of view, angles and distances: sometimes he zooms in on a modest, ordinary movement like taking a photograph, shaving, or smoking a pipe. Sometimes he pulls back to look at something (...) as vast and varied as human “making,” embracing everything from the fashioning of simple tools to mass manufacturing. Holding firmly to basic phenomenological principles – that consciousness is always consciousness of something, that we know others by reference to ourselves, he claims that we constantly “read” states of mind, i.e. thoughts, intentions, emotions, from gestures; still we lack a theory about how this happens. Gestures takes a first step. It offers alternatives to theories by now so veiled by habit and myth that we are hardly conscious of them, and so hardly realize that they are failing. These include the assumption that we can “know” something without being affected by it, the belief that science is value-free, and the common conviction that science and art are fundamentally different activities. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Descartes’s Concept of MindJoanna ForstromLilli Alanen. Descartes’s Concept of Mind. Cambridge, MA: Harvard University Press, 2003. pp. xv + 355. Cloth, $65.00.Descartes's Concept of Mind takes as its task that of redressing "the distortions of Descartes's concept of human mind and thinking caused by the Cartesian myth that Ryle justly sought to correct, but that his gripping caricature has helped keep alive" (x). Offering (...) a close reading of the text in its philosophical and historical context and examining its place in contemporary literature, Alanen develops Descartes's philosophy of mind, broadly construed, with a focus on the embodiment of the human mind.Alanen sees Descartes's philosophy of mind as "the result of an ongoing struggle to adjust some basic views about human nature, thought and agency rooted in experience and tradition to the new picture of the universe" (8). Taking this perspective reveals a greater continuity in his fundamental views. Changes, she suggests, are a matter of emphasis, subject matter, and perspective. She grants Descartes's dualism and his view of the mind-body union and chooses to focus instead on the mind as embodied.In developing the analysis Alanen takes a somewhat chronological approach in her seven chapters. Chapter one is a prehistory of Descartes's philosophy of mind focusing on his unpublished, early writings. She looks at his early intellectual ambitions and interests beginning with mathematics and a science of nature and then expanding into metaphysics. The distinctive views of his later work are formed, according to Alanen, during this time. In chapter two, three different perspectives about the nature of man are distinguished: man as an object of mechanistic physics, man as mind or intellect and so an epistemic subject, and man as a real union between the mind and body. She focuses on the third, as it is the real union that has been overlooked or misconstrued by most. How this union is to [End Page 115] be conceived, and the epistemological implications of it are explored. By highlighting the consequences of Descartes's distinction between the mind and the body in terms of knowledge, Alanen directly confronts Ryle and his legacy. In short, because we cannot expect to have knowledge of the mind—body union, we cannot conceive it—there is no category mistake to be made. She elaborates much more in the chapter.Chapters three, four and five, are centered on the writings from 1637-44. Here Alanen focuses on Descartes's notion of thinking and modes of thoughts. The way that thinking is defined, its intentional and representative nature, and the status of sensations as mental phenomena are carefully explored in light of discussions of these issues in contemporary literature and in the literature of Descartes's time. The issues are complex, but the writing is clear and easy to follow. Her discussions of representation, sense perception, and material falsity are particularly good in these chapters.Chapters six and seven reflect the issues that Princess Elisabeth raised: emotions, will, and related moral issues. These two chapters are perhaps the most significant in the book. Chapter six centers on The Passions. The passions depend on the union of the mind and body and do not consist in thought alone. Alanen sees them as a subclass of thoughts. She examines carefully the intentionality of emotions, the distinction between action and passions, and the functions attributed to the body and the soul. She raises a number of questions, some of which chapter seven begins to answer, and others which are left to challenge the reader. Chapter seven is about free will and virtue. Alanen places Descartes's conception of the will and agency in the context of the debate between the voluntarists and the intellectualists. She considers the ancient and medieval antecedents, with a focus on the Stoics as she develops her analysis. She also includes a good discussion of Descartes's contemporaries, and their reactions to his work. Her inclusion of secondary literature is well done. One is left with a better understanding of the complexities of Descartes's understanding of human nature and free will.Overall, Alanen's book is an excellent contribution to... (shrink)

continent. 2.2 (2012): 60–63 Translated by Rodrigo Maltez Novaes. From the forthcoming book Post-History , Minneapolis: Univocal Publishing, 2013. It is not necessary to have a keen ear in order to find out that the steps we take towards the future sound hollow. But it is necessary to have concentrated hearing if one wishes to find out which type of vacuity resonates with our progress. There are several types of vacuity, and ours must be compared to others, if the aim (...) is to understand it. The incomparable is incomprehensible. If we affirm that our situation is incomparable, we give up the effort to grasp it. The comparison that imposes itself is to the vacuity of the Baroque. There are innumerable traces in the present that evoke the Baroque. We bear the mark of the same somber rationalism (logics, informatics, cybernetics), and of the same magic and fanatic irrationalism (mass media, phantastic ideologies). But there is a decisive difference. Humanity advanced over a stage during the Baroque. All of its gestures, even the most sincere, were marked by theatricality. The vacuity that resonated under its feet was of the void under the stage. Baroque man represented. 1 For example he represented faith in waging religious wars. Baroque vacuity was the consequence of a medieval loss of faith in dogmas . Our vacuity is different. We do not represent anything. Our world is not a stage. We are not actors, and if we act, it is not to represent a drama, but to divert the audience's attention and our own from the subjects that really matter. We act like criminals that try to hide their tracks. We pretend. Our progress is a farce. The vacuity under our feet is not Baroque. We have not lost our faith in dogmas: we have lost faith in ourselves . We are as counter-reformists as was the Baroque (we want to cover up the recent revolution with warm cloths), but for different reasons. Although comparable with the Baroque, in certain aspects, our situation is in fact incomparable to any other. That is because an incomparable, unheard of, never before seen event happened recently, which emptied the ground we tread. Auschwitz . Other posterior events; Hiroshima, the Gulags, are nothing but variations of the first. Therefore every attempt to grasp the present leads to the following questions: how was Auschwitz possible? How can we live after this? Such questions relate not only to the ones directly or indirectly responsible, and not only to those who were directly or indirectly hit by it: they relate to everyone who takes part in our culture. Because what is so incomparable, unheard of, never before seen and therefore incomprehensible in Auschwitz, is that it was there that Western culture revealed one of its inherent virtualities. Auschwitz is a characteristic realization of our culture. It is neither the product of a particular Western ideology, nor of specific “advanced” industrial techniques. It springs directly from the depths of culture and of its concepts and values. The possibility to realize Auschwitzes is implicit within our culture from the very start: the Western “project” already harbored it, although as a remote possibility. Auschwitz lies within the initial program of the West, which progressively realizes all of its virtualities as history unfolds. That is why the question that Auschwitz poses before us is not: how did it happen? It serves no purpose to “explain” Auschwitz. The fundamental question is: how was it possible? Because what is being questioned is not the extermination camp, but the West. Thus one other question: how to live within a culture henceforth unmasked? Everything that happened afterwards resonates with such a question, with such vacuity. Every economic, social, political, technical, scientific, artistic, philosophic event is corroded by such an undigested question. The distance that separates us from the event does not mitigate the abyss, it erodes it even deeper. Because the distance progressively dissolves the aura of the horror that envelops the event, and it progressively opens up a vision of the scene. It progressively reveals that there all of our categories, all of our “models”, suffered an irreparable shipwreck. Auschwitz was a revolutionary event, in the sense that it overthrew our culture. Insofar as we seek ways to cover up such revolution with trips to the moon or with genetic manipulations, we are counter-revolutionaries: we are inverting the course of history in order to cover up the past. The unspoken in Auschwitz is not the mass murder, it is not the crime . It is the ultimate reification of people into amorphous objects, into ashes. The Western tendency towards objectification was finally realized and it was done so in the shape of an apparatus . The SS were functionaries of an extermination apparatus, and their victims functioned in function of their own annihilation. The extermination camp's program, once it started functioning, developed in an automatic fashion, autonomous from the decisions of the initial programmers, even if, as it effectively did, it contributed to the defeat of the programmers. The SS and the Jews functioned one in function of the other like cogwheels. The models for such functionality were provided by the highest of Western values: the SS behaved like “heroes” and the Jews like “martyrs”. This is an apparatus that functions at a borderline situation: objective even beyond death. What has just been said is intolerable. We cannot accept it and so we mobilize arguments against it. Good arguments. The SS behaved like criminals: they removed the gold teeth from the cadavers. The Jews behaved like victims: they rose up in the Warsaw ghetto. Such arguments are true, but they do not reach the nucleus, the “ eidos ” of the phenomenon: they do not grasp it. Although there was “normal” behavior: (theft, murder, revolt, heroism), there was also “abnormal” behavior: functionality during a borderline situation. And this is what counts. There, for the first time in the history of humanity, an apparatus was put into operation that was programmed with the most advanced techniques available, which realized the objectification of man, together with the functional collaboration of man. The previous horrors committed by Western society against other societies and against itself (and there are many) were crimes . They were violations of Western models of behavior: anti-Christian, anti-human, irrational. So that it is possible to condemn them and continue to be Western, even if the horror is so colossal, such as the enslavement of Africans. However, it is not possible to condemn Auschwitz and continue to adhere consciously to the West. Auschwitz is not a violation of Western models of behavior, it is, on the contrary, the result of the application of such models. Our culture allowed its mystifying mask to fall and must be rejected in toto if we admit that the purpose of every culture is to allow for the convivial existence of men that recognize each other mutually as subjects. However: it is not possible to reject one's own culture. It is the ground we tread . Those who seek to reject their own culture (as Nietzsche did in rejecting Judeo-Christianity), fall victim to madness. Those who reject their culture's models, are incapable of grasping the world in which they live. Cultural models are traps to catch the world. Those who seek to substitute their own models for other's (for example by shouting “Hare Krishna”) will find that such exotic models have already been caught by the very models to be substituted. There is no exit: we are condemned to use our models and to serve such models, even after they have been unmasked, if we wish to continue living. The only alternative would be to commit suicide. That is: we must continue our economic, political, scientific, artistic, philosophic activities despite Auschwitz. We must continue progressing despite everything . That is why there are those who recommend that we should seek to forget what happened, that we should repress the event. They sustain that enough has already been said and written about the subject and that it is time to “overcome” it. But such an ostrich strategy reveals itself disastrous. Because the result is that Auschwitz transfers itself from Poland of the 1940s to the post-industrial society of the future. What characterizes the extermination camp is precisely that it is not an event that can be “overcome”, because it is the first realization of an inherent virtuality within the Western project, which will repeat itself in other formats unless we become totally conscious of it. The advantage (if this is an appropriate term) that Auschwitz offers us, is to give us a concrete example of the West’s tendency towards the apparatus. For the first time in our history it is possible for us to experience concretely the utopia inherent in our culture. For the first time in our history we have the experience that utopia, no matter in what form, towards which we progress, is the extermination camp. Everywhere we can observe, as of now, the emergence of variations on the theme “Auschwitz”. Everywhere apparatus spring, just like mushrooms after a Nazi rain, from the ground that has become rotten. Certainly: such new apparatus are not externally similar to the Nazi extermination camps. Their labels are different, as are the ideologies that pretend to inspire them. Even the apparatus that admittedly envision extermination, such as the Gulags, the ones of a future nuclear war, or the ones that functioned in Vietnam, claim to be different from Auschwitz. Others claim to be “friends of mankind”, such as the scientific, technical and administrative apparatus. But such labels and such ideologies are deceptive and serve only to cover up the essence of apparatus. They are all just like Auschwitz, black boxes that function with complex inner-workings in order to realize a program. They all function according to an inertia that is inherent to them and such functionality escapes , from a certain point, the control of their initial programmers. In a final analysis such apparatuses function, all of them, towards the annihilation of all their functionaries, including their programmers. Exactly because they objectify and dehumanize man. Thus Western culture reveals itself as a project that seeks to transform itself into an apparatus. What characterizes the West is its capacity for an objectifying transcendence. Such transcendence allows for the transformation of all phenomena, including the human phenomenon, into an object of knowledge and manipulation. The space for such transcendence opened up thanks to Judeo-Christianity and resulted, in the course of our history, in science, technique and recently, in Auschwitz. The ultimate objectification of the Jews into ashes is the ultimate victory of the spirit of the West. It is social technique taken to the extreme. Certainly: the transformation of men into ashes is primitive, incipient social technique that progressively refines itself. It will be followed by less brutal objectifications, such as the robotization of society. But it does not matter which form it will assume: it will always be an objectifying manipulation of mankind. Although the apparatus of the immediate future are not necessarily incineration ovens, all will be, and not only the nuclear ones, apparatus for the annihilation of man. The Western program contains several virtualities, not only apparatus. Numerous virtualities have not yet been realized. In this sense the “history of the West” has not ended yet, the Western game continues. But all not-yet realized virtualities are infected by apparatus. That is why it has become currently impossible to engage ourselves in the “ progress of culture .” As it would be to engage ourselves in our own annihilation. We have lost our faith in our culture, in the ground we tread. That is: we have lost faith in ourselves. It is this hollow vibration that follows our steps towards the future. What remains is for us to analyze the event “Auschwitz” in all its details in order to discover the fundamental project that realized itself there for the first time, so that we may nurture the hope to project ourselves out of that project. Out of the history of the West. This is the “post- historical” climate in which we are condemned to live from hereon. NOTES 1. In Portuguese representar (to represent) also means “to act” or “to play a role.&rdquo. (shrink)

Making Sense of Inner Sense 'Terra cognita' is terra incognita. It is difficult to find someone not taken abackand fascinated by the incomprehensible but indisputable fact: there are material systems which are aware of themselves. Consciousness is self-cognizing code. During homo sapiens's relentness and often frustrated search for self-understanding various theories of consciousness have been and continue to be proposed. However, it remains unclear whether and at what level the problems of consciousness and intelligent thought can be resolved. Science's greatest (...) challenge is to answer the fundamental question: what precisely does a cognitive state amount to in physical terms? Albert Einstein insisted that the fundamental ideas of science are essentially simple and can be expressed in a language comprehensible to everyone. When one thinks about the complexities which present themselves in modern physics and even more so in the physics of life, one may wonder whether Einstein really meant what he said. Are we to consider the fundamental problem of the mind, whose understanding seems to lie outside the limits of the mind, to be essentially simple too? Knowledge is neither automatic nor universally deductive. Great new ideas are typically counterintuitive and outrageous, and connecting them by simple logical steps to existing knowledge is often a hard undertaking. The notion of a tensor was needed to provide the general theory of relativity; the notion of entropy had to be developed before we could get full insight into the laws of thermodynamics; the notice of information bit is crucial for communication theory, just as the concept of a Turing machine is instrumental in the deep understanding of a computer. To understand something, consciousness must reach an adequate intellectual level, even more so in order to understand itself. Reality is full of unending mysteries, the true explanation of which requires very technical knowledge, often involving notions not given directly to intuition. Even though the entire content and the results of this study are contained in the eight pages of the mathematical abstract, it would be unrealistic and impractical to suggest that anyone can gain full insight into the theory that presented here after just reading abstract. In our quest for knowledge we are exploring the remotest areas of the macrocosm and probing the invisible particles of the microcosm, from tiny neutrinos and strange quarks to black holes and the Big Bang. But the greatest mystery is very close to home: the greatest mystery is human consciousness. The question before us is whether the logical brain has evolved to a conceptual level where it is able to understand itself. (shrink)

The article discusses the technical image, a central concept in Vilém Flusser’s later main work Into the Universe of Technical Images (1985a). After identifying its various dimensions, the analysis frames the concept as an amalgamation of disciplines, theories, and artistic practices the cultural philosopher Flusser explored during the 1960s and especially the 1970s. In particular, the field of information aesthetics developed by Max Bense and Abraham A. Moles, among others, as well as artistic video practices (...) in France and the United States played an important role in both Flusser’s biography and the formation of his technical image concept. At the same time, in Flusser’s cultural philosophy the technical image is the condition and result of a new kind of human imagination, which in this paper is specified as ‘projective imagination’. (shrink)

The first history of postwar mathematics, offering a new interpretation of the rise of abstraction and axiomatics in the twentieth century. Why did abstraction dominate American art, social science, and natural science in the mid-twentieth century? Why, despite opposition, did abstraction and theoretical knowledge flourish across a diverse set of intellectual pursuits during the Cold War? In recovering the centrality of abstraction across a range of modernist projects in the United States, Alma Steingart brings mathematics back (...) into the conversation about midcentury American intellectual thought. The expansion of mathematics in the aftermath of World War II, she demonstrates, was characterized by two opposing tendencies: research in pure mathematics became increasingly abstract and rarified, while research in applied mathematics and mathematical applications grew in prominence as new fields like operations research and game theory brought mathematical knowledge to bear on more domains of knowledge. Both were predicated on the same abstractionist conception of mathematics and were rooted in the same approach: modern axiomatics. For American mathematicians, the humanities and the sciences did not compete with one another, but instead were two complementary sides of the same epistemological commitment. Steingart further reveals how this mathematical epistemology influenced the sciences and humanities, particularly the postwar social sciences. As mathematics changed, so did the meaning of mathematization. Axiomatics focuses on American mathematicians during a transformative time, following a series of controversies among mathematicians about the nature of mathematics as a field of study and as a body of knowledge. The ensuing debates offer a window onto the postwar development of mathematics band Cold War epistemology writ large. As Steingart's history ably demonstrates, mathematics is the social activity in which styles of truth-here, abstraction-become synonymous with ways of knowing. (shrink)

In the article the authors put and discuss the problem of rationality in the culture of Old Russia in the context of contemporary discussions on the prob- lems of rationality. Enlighteners of Peter's time adhered to the view of the total absence of intellectual life in Old Russia. Authors distinguish various areas of intellectual activity: the study of nature, mathematical and chronological works, the use of logical tools in apologetics and polemics, medical practices, political strategies, translation activity, understanding of the (...) inner nature of man. The evolution of Old Russian language passed along the line of transformations of concrete-figurative thinking into conceptual, abstract thinking. In the processes of mastering philosophical concepts, the formation of an analytical system of language on a logico-verbal basis takes place. In the formation of a verbal-ordered language, the key role was played by symbols-concrete things, verbal and abstract. Fundamental philosophical concepts stem from symbols. Specific-proprietary and conceptual languages have different expressive and cognitive capabilities. Allegory, analogy, thought experiment, isolation of an abstract trait, visualization are typical techniques of figurative thinking. Modern Russian language absorbed the features of both figurative and logical construction. The digital era opens up new possibilities for visual methods of encoding information. (shrink)

A large part of the difficulty of writing "conceptual history"—to borrow a term from Reviel Netz —is that once an illuminating new conceptual framework is articulated, it begins to seem self-evident and commonsensical to later thinkers. The historian's task of problematizing the obvious, and showing us the moves by which commonsense came to be created historically, is an arduous and challenging one, requiring resources of imagination, patience, and attention to detail. Sattler displays all those qualities in this dense and demanding (...) study, and a review needs to begin by acknowledging the sheer... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviews 105 NEW RUSSIAN WORK ON RUSSELL IRVING H. ANELLIS Modern Logic Publishing I Box 1036, Welch Ave. Station Ames, JA 5°010-1036, USA A. S. Kolesnikov. cI»HJIOCOcPHJl BepTPaHa PacceJIa [Filosofija Bertrana Rassela]. Leningrad: Izdatel'srvo Leningradskogo Universiteta, 1991. Pp. 232. 3 rub. 30 kop.. Anatolii Sergeevich Kolesnikov is a relatively new name in Russell studies,.r1.a1though his book shows a deep knowledge of the material available on Russell in Russian and (...) a wide acquaintance with Russell's publications in English and in Russian translation.1 In this work, which translates as The Philosophy ofBertrand Russel~ Kolesnikov traces the evolution of Russell's "world-view", while presenting a traditional Soviet interpretation of Russell's place in "bourgeois" philosophy. This monograph presents for the first time in Russian a thorough analysis of the evolution of Russell's philosophy as the outstanding representation of contemporary bourgeois philosophy, and is the first major study on Russell's philosophy in Russian since the appearance in'1962 ofSoviet philosopher 1. S. Narskii's The Philosophy ofBertrand Russell2 Russell himself is viewed by Kolesnikov as the best representative of the bourgeois humanist, philosopher, and mathematician. The author seeks a critical understanding of the historical and philosophical sources of Russell's ideas and conceptions and of the influence which these exercised and continue to exercise on contemporary Western philosophy and science. The author's aim is to "uncover" the neo-realist empiricist direction of Russell's philosophy as it manifested itself as a condition of his scientific and epistemological thinking. As had been usual for Soviet studies of Western "bourgeois" philosophers and their philosophies, Lenin and his empiriocriticism serves as a foil for the elucidation of Russell's thought and its development. Probably the most famous example of the dialectical attack on anaI Kolesnikov is also the author of The Freethought ofBertrand Russell [Svobodomyslie Bertrana Rassela] (Moscow: Mysl', 1978). 2 The Philosophy ofBertrand Russell: Lectures for Students in the University Philosophy Faculty [Filosofija Bertrana Rassela: lekcija dlja studentovfilosofikih fakul'tov universitetov] (Moscow: 1962). In the first footnote (on p. 60) to his translation of the article on "Bertrand Russell in the Great Soviet Encyclopedia: Translation from Russian", Russel~ nos. 23-4 (1976): 60-2, Charles Haynes wrote that "Narskiy... appears to be a leading Soviet writet on Russell's philosophy." In fact Narskii wrote extensively on philosophy of logic, for which work he is bcst known. 106 Reviews lytic philosophy revolved around the rather rough treatment accorded to A. J. Ayer when he lectured at Moscow State University in 1962. This methodology for criticizing "bourgeois idealism" has declined in recent years as a consequence of perestroika; from as early as 1987 Soviet philosophers have managed to refrain from employing this tactic in their writings (as one may readily see, e.g., from Zinaida Sokuler's recent paper on "Wirrgenstein on the Contradictions in Logic and in the Foundations of Mathematics"3). Kolesnikov's discussion of political-ideological, social and moral issues is limited to the Preface, which also presents a brief sketch of Russell's life, especially his education and the earliest of the philosophical influences at Cambridge, of course Russell's visit in 1920 to Soviet Russia and the writings that derived from that trip, especially his book The Practice and Theory of Bolshevism, and of his travels in China. Here Kolesnikov notes Russell's ties to the Fabian socialists and names in particular the Webbs, H. G. Wells and "other members representative of the bourgeois intelligentsia" (p. 5). Mention is also made here of his activism for nuclear disarmament and against the American war in Indochina, and of the essay "Why I Am Not a Christian". We are told at the very outset (p. 3) that "the name of this philosopher is widely known in our country." The remainder of the book is concerned with Russell's technical philosophy, i.e. with his work in philosophy of mathematics, logic, philosophy of language, metaphysics and epistemology. Kolesnikov divides Russell's philosophical evolution into three stages (p. 22). The "early" period (1894-1910) is the developmental stage, characterized by the influence ofneo-Hegelianism and neo-Kantianism and by the development of the conception of... (shrink)

New technologies, such as functional magnetic resonance imaging and transcranial magnetic stimulation, are currently touted as, not only giving us a better picture of the structure of the brain, but also a better understanding of our thinking. As Alan Snyder demonstrates when he claims his aim is to understand the ‘architecture of thought’ by investigating the brain. Against this backdrop, I will argue that new technologies present a worrying extension of mathematical natural science into the domain of human affairs. Extrapolating (...) upon Heidegger, I will put forward that neuroscientific experiments force thinking to conform to the mathematical conception of nature, rather than reveal something about the ‘true’ nature of our thinking. In a time when the expansion of mathematical natural science threatens to reduce every domain to that which is quantifiable, I will conclude by suggesting that the responsibility of the philosopher is to question the presuppositions of modern science and psychology.Nuevas tecnologías como la imagen de resonancia magnética funcional y la estimulación magnética transcranial se consideran presumiblemente capaces de darnos no solo una mejor imagen de nuestro cerebro, sino también una mejor comprensión de nuestro pensamiento, tal como demuestra Alan Snyder cuando afirma que su objetivo es entender la “arquitectura del pensamiento” mediante la investigación del cerebro. Contra este marco general, argumentaré que las nuevas tecnologías nos presentan una preocupante extensión de la ciencia natural matemática al dominio de los asuntos humanos. Extrapolando a partir de Heidegger, propondré que los experimentos neurocientíficos fuerzan al pensamiento a conformarse a la concepción matemática de la naturaleza en vez de revelar algo sobre la verdadera naturaleza de nuestro pensamiento. Nos encontramos en un momento en que o la expansión de la ciencia natural matemática amenaza con reducir todos los dominios a lo que es cuantificable. Concluiré sugiriendo que la responsabilidad del filósofo es cuestionar los presupuestos de la ciencia moderna y de la psicología. (shrink)

Abstract: This paper traces a Kantian and pragmatist line of thinking that connects the ideas of conceptual content, object cognition, and modal constraints in the form of counterfactual sustaining causal laws. It is an idea that extends from Kant’s Critique of Pure Reason through C. I. Lewis’s Mind and the World-Order to the Kantian naturalism of Wilfrid Sellars and the analytic pragmatism of Robert Brandom. Kant put forward what I characterize as a modal conception of objectivity, which he developed as (...) an extended argument stretching from the transcendental deduction through the analogies of experience to the regulative maxims of reason and reflective judgment. In related ways in Lewis and Sellars, the very idea of an object of knowledge (and of intentionality more generally) is connected with a certain lawfulness or modal constraint the necessary representation of which, they argue, is an achievement of conceptualization. While Sellars agreed with the spirit of Lewis’s famous pragmatic conception of the a priori, Sellars’s conception of meaning and conceptual content differed in crucial ways with important consequences for this issue. I argue furthermore that a certain phenomenalist temptation threatens to spoil this insight both among some of Kant’s interpreters and in Lewis’s thought. Finally, I point out that Brandom’s “Kant-Sellars thesis” provides new support for this line of thought. Although questions concerning idealism continue to raise controversies for neo-Kantians and pragmatists, the line of thought itself represents a distinctive and still promising approach to questions concerning intentionality and conceptual content. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:176 Reviews c:\users\ken\documents\type3402\rj 3402 050 red.docx 2015-02-04 9:19 PM THE GRUNDGESETZE Nicholas Griffin Russell Research Centre / McMaster U. Hamilton, on, Canada l8s 4l6 ngriffin@mcmaster.ca Gottlob Frege. Basic Laws of Arithmetic. Derived Using Concept-script. Volumes i and ii. Translated and edited by Philip A. Ebert and Marcus Rossberg with Crispin Wright. Oxford: Oxford U. P., 2013. Pp. xxxix + xxxii + 253 + xv + 285 + A–42 (...) + i–11. isbn 978-0-19-928174-9. £60; us$110. iven the steadily rising interest in Frege’s work since the 1950s, it is surprising that his Grundgesetze der Arithmetik, the work he thought would be the crowning achievement of his career, has not previously been fully translated into English. Other Frege works have long been available in English. The earlier Grundlagen der Arithmetik was nicely, if not always entirely accurately, translated by J. L. Austin and published in 1950.1 Translations of Frege’s other philosophical writings began to appear in influential editions about the same time,2 initially a small corpus that has been gradually added to over the years to include works from his Nachlass and letters from his correspondence.3 Somewhat later, the Begriffsschrift, Frege’s momentous first 1 The Foundations of Arithmetic (Oxford: Blackwell, 1950; 2nd edn. 1953). The later translation under the same title by Dale Jacquette (London: Longman, 2007) is much less satisfactory. 2 The first importance source for these was Peter Geach and Max Black’s Translations from the Philosophical Writing of Gottlob Frege (1952; 2nd edn. 1960; 3rd edn. 1980), though it included reprints of some much earlier translations. 3 The two most comprehensive English sources for the shorter writings are now Brian d= Reviews 177 c:\users\ken\documents\type3402\rj 3402 050 red.docx 2015-02-04 9:19 PM contribution to modern logic, the work which Quine 4 said had made logic a great subject, was translated in full despite the difficulties of Fregean notation.5 But through all this the Grundgesetze remained largely (though not entirely ) untranslated. The view seems, for a long time, to have been that Frege’s contributions to logic were to be found in the Begriffsschrift and his contributions to philosophy in the Grundlagen and a small number of seminal articles. The Grundgesetze, on the other hand, was widely thought not to have added much to these magni ficent achievements, but to have employed them in a project that was doomed by the discovery of Russell’s paradox; namely, the attempt to show that arithmetic could be rigorously derived from purely logical principles. In the bleak aftermath of Russell’s paradox it came to seem as if whatever was of value in the Grundgesetze had already been published elsewhere, while what was new in it was mistaken.6 That assessment of the book’s value, combined with the huge difficulties of typesetting Frege’s idiosyncratic two-dimensional notation, and the sheer scale of the work (even without the anticipated third volume, which was abandoned in the face of Russell’s paradox, it was, by far, Frege’s largest work) made it seem as though a translation of the whole Grundgesetze was not only a prohibitively large undertaking, but also one which was not really necessary. And so, through much of the twentieth century, the Grundgesetze vied with Principia Mathematica as the world’s bestknown but least-read philosophical book. But this understanding of the Grundgesetze’s importance could not withstand the development of neo-logicism, brought to prominence by Crispin Wright’s Frege’s Conception of Numbers as Objects.7 The key insight of neoMcGuinness, ed., Frege, Collected Papers on Mathematics, Logic, and Philosophy (1984); and Michael Beaney, ed., The Frege Reader (1997). 4 At least in early editions of Mathematical Logic. The remark was removed in later ones in deference to Boole. 5 By Stefan Bauer-Mengelberg in Jean van Heijenoort, ed., From Frege to Gödel (1967), pp. 5–82. 6 Not surprisingly the one part of the Grundgesetze which has appeared most frequently in translation is the “Nachwort” responding to Russell’s paradox which Frege added as the book was in press. Geach... (shrink)

In On Doubt, Vilém Flusser refines Martin Heidegger's famous declaration that "language is the dwelling of Being." For Flusser, "the word is the dwelling of being," because in fact, in the beginning, there was the word. On Doubt is a treatise on the human intellect, its relation to language, and the reality-forming discourses that subsequently emerge. For Flusser, the faith that the modern age places in Cartesian doubt plays a role similar to the one that faith (...) in God played in previous eras--a faith that needs to be challenged. Descartes doubts the world through his proposition cogito ergo sum, but leaves doubt itself untouched as indubitable and imperious. His cogito ergo sum may have proved to the Western intellect that thoughts exist, but it did not prove the existence of that which thinks: one can eliminate thinking and yet continue being. Therefore, should we not doubt doubt itself? Should we not try to go beyond this last step of Cartesian doubt and look for a new faith? The twentieth century has seen many attempts to defeat Cartesian doubt, however, this doubt of doubt has instead generated a complete loss of faith, which the West experiences as existential nihilism. Hence, the emergent emptying of values that results from such extreme doubt. Everything loses its meaning. Can this climate be overcome? Will the West survive the modern age? (shrink)

In this paper, I have attempted to make the role of mathematical thinking clear in Husserl’s theory of sciences. Husserl believed that phenomenology could afford to provide a safe foundation for individual sciences. Hence, the first task of the project was reorganizing the system of sciences and to show the possibility of apodictic knowledge regarding the world. Husserl was inspired by the progress of mathematics at that time because mathematics is the most logical discipline and deals with abstract objects. It (...) was the most suitable model for Husserl’s project. In fact, we can find structural similarities between his project and F. Klein’s Erlangen Program; further, the procedure of the essence intuition can be explained by a mathematical induction. Mathematics is certainly a new path for understanding Husserl’s phenomenology. In order to clarify the relation between Husserl’s theory of sciences and mathematics, this study focused on the problem of classification. Lastly, another implication of Husserl’s phenomenology as a theory of sciences is that his work is still meaningful for today’s dynamic reality of sciences. (shrink)

The purpose here is to explore metaphorical conceptions of the self in a fourth century B.C.E. Chinese text, the Zhuangzi, from the perspective of cognitive linguistics and the contemporary theory of metaphor. It is argued that the contemporary theory of metaphor provides scholars with an exciting new theoretical grounding for the study of comparative thought, as well as a concrete methodology for undertaking the comparative project. What is seen when the Zhuangzi is examined from the perspective of metaphor theory is (...) that conceptions of the self portrayed in this text are based on a relatively small set of interrelated conceptual metaphors, and that the metaphysics built into the Zhuangzi's classical Chinese metaphors resonates strongly with the (mostly unconscious) metaphysical assumptions built into the metaphors of modern American English. This should not be surprising, considering the claims of contemporary cognitive linguists that the metaphoric schemas making up the foundation of human abstract conceptual life are not arbitrarily created ex nihilo, but rather emerge from common embodied experience and are conceptual, rather than merely linguistic, in nature. (shrink)

The concept of "the flesh" (la chair) derives from the writings of Maurice Merleau-Ponty. This was the word he used to name the concrete realm of sentient bodies and life processes that has been eclipsed by the abstractions of science, technology, and modern culture. Topology, to conventional understanding, is the branch of mathematics that concerns itself with the properties of geometric figures that stay the same when the figures are stretched or deformed. Topologies of the Flesh blends continental thought (...) and mathematical imagination, opening up a new area of philosophical inquiry: topological phenomenology. Through its unique application of qualitative mathematics, this work extends the approaches of Merleau-Ponty and Heidegger so as to offer a detailed exploration of previously uncharted dimensions of human experience and the natural world. (shrink)

Writing, the exigency of writing: no longer the writing that has always (through a necessity in no way avoidable) been in the service of the speech or thought that is called idealist (that is to say, moralizing), but rather the writing that through its own slowly liberated force (the aleatory force of absence) seems to devote itself solely to itself as something that remains without identity, and little by little brings forth possibilities that are entirely other: an anonymous, distracted, deferred, (...) and dispersed way of being in relation, by which everything is brought into question – and first of all the idea of God, of the Self, of the Subject, then of Truth and the One, then finally the idea of the Book and the Work so that this writing (understood in its enigmatic rigor), far from having the Book as its goal rather signals its end: a writing that could be said to be outside discourse, outside language. – Maurice Blanchot ( The Infinite Conversation , xi) The Compendium * Beginning with the idea and practice of writing, and moving to the subject or self, then to truth and the One, and arriving at the Book and the Work, Blanchot’s words reflect the trajectory of the following work of writing. True to the embeddedness of the subject in the work of writing, the term “Compendium” has been a metonym for me over the past few years as I have thought about the concept of totality alongside its expression in figures such as the One, the Whole, or the All. In the following I aim to share some of the content of this metonym, and to enrich it by making some distinctions. 1 Here the term “Compendium” will refer to a concept of totality that is ontological (pertaining to being, and the copula) and also textual (pertaining to the symbolic, and the signifier-signified relationship). The Compendium is a figure for thinking the world as a Book, in the broadest sense—an approach to reality that is by no means new, but one that is due for renewal. 2 In partial answer to the question of the Compendium we will say that the word ‘Compendium’ stands in for expressions which seek to totalize, or concepts which seek to approach the concept of ‘everything,’ particularly when these expressions are bound up in the question of the Book (both the book as a physical object and the Book as a metaphysical figure: a way of thinking about the work in and of writing). The question of the Compendium is strongly associated with the physical and metaphysical form of the Book, like the mysterious and symbolic books which are opened in the Biblical book of Revelation, the book of life and the book of death, which together constitute an important couplet. 3 Parataxis & Hypotaxis There are two helpful distinctions that will bring us closer to an answer to the question “What is a Compendium?” The first distinction is between two figures in and for writing: parataxis and hypotaxis . Typically paired in contrast to one another as literary techniques, with parataxis indicating a side-by-side placement of textual elements and hypotaxis referring to subordinate arrangements of textual elements, the two figures can be understood as having a philosophical significance in addition to their practical function as devices for writers. For us these two terms will remain between philosophical theory and writing practice, and serve as a perspective for our writing and creation of texts. Here I take texts to refer to anything from the concrete written words in a book, to the ontological text of the world that we experience. Parataxis , as a figural way of thinking about the ontological structure of texts, refers to texts which are tightly woven and interdependent – texts within which each sentence bears the weight of the entire work. Parataxis often involves repetition, great density, and fragility. One of the best examples of this sort of text is Theodor Adorno’s posthumous magnum opus , Aesthetic Theory . In addition to the text itself, the translation history of the book may also help us to better understand parataxis and its relation to hypotaxis . The final published version of Aesthetic Theory , in German, was a text that Adorno intended to revise and rewrite, but this intention was never realized because of his untimely death. Where the German text of Aesthetic Theory certainly exemplifies the concept of parataxis , the first English edition took this densely woven text and carved Adorno’s lengthy paragraphs and lengthy sentences into manageable ‘bite-sized’ pieces of English text. The first translator took further liberty and inserted headings and new paragraph breaks where there were none in the original. Aesthetic Theory was eventually retranslated by Robert Hullot-Kentor and is now available in a form that is much more faithful to the original work. 4 The pertinent idea that this translation history points to is the distinction between parataxis and hypotaxis . Where parataxis describes texts which are repetitive, densely woven, and often fragile, hypotaxis describes texts which are hierarchical and in which the primary relation is linear – the latter of which is very similar to the first English translation of Aesthetic Theory . On the other hand, the original German text that Adorno wrote was very dense, often repetitive, and contained long sections of text unbroken by paragraphs or headings. This example of parataxis was then turned towards hypotaxis through the initial translation which took a text that was, in many ways, nonhierarchical and nonlinear, and artificially subjected it to a hierarchy that was not its own (and here I take the word of Fredric Jameson who comments on the two translations in a note at the beginning of his book Late Marxism ). 5 The point here is not about translation, but rather the distinction between parataxis and hypotaxis precisely as they are figures for discourse, written or otherwise. The concept of parataxis looks far more postmodern and rhizomic than the concept of hypotaxis which remains very modern and arborescent. This is a more figural way of talking about the distinction. However, if we wanted to take a more precise and analytical approach we could say that on the level of form parataxis involves a relationship between sentences and paragraphs in which each part bears an equally crushing responsibility to present the whole content of the text. As well, on the level of content, parataxis requires that each concept in a work take on the full conceptual weight of the total work. Continuing the analysis, we could say that parataxis describes texts in which there is no (or very little) linear or causal move from antecedent to consequent, whether in content or form. Instead, parataxis describes texts which weave together concepts via conjugations or associations. The concept of hypotaxis , on the other hand, requires that texts submit themselves to hierarchy, one example of which is logical argumentation. The contingency of the conclusion upon premises in hypotaxis is certainly distinct from the repetition, re-presentation, and conjugation of concepts in parataxis , and I think that this is evident in the difference between the writing styles prevalent in contemporary Analytic philosophy and Continental philosophy. It is not the case that the distinction between parataxis and hypotaxis absolutely corresponds with the writing styles of Continental and Analytic philosophy (respectively). There are thinkers who take exception to this pattern, such as Badiou’s more formal approach in the discourse of Continental philosophy to give one example. However, when Analytic philosophy takes its writing lessons from the sciences, and seeks to do philosophy via the clean linear move from antecedent to consequent, then I think that Analytic philosophy writes with hypotaxis in mind. On the other hand, when Continental (particularly German and French) philosophy takes its writing lessons from narrative or poetry then Continental philosophy writes with parataxis in mind. It is not fair to say that all those writing Continental philosophy are looking to narrative and poetry for stylistic direction, just as it is not the case that all those writing Analytic philosophy have mathematics and science as their writing format, however there are some striking ways in which the differing epistemologies of Continental and Analytic philosophy encourage writing with parataxis and hypotaxis in mind (respectively). For some, writing with parataxis or hypotaxis in mind is a conscious decision and a product of stylistic self-consciousness, and for others it is an unconscious discursive and epistemic requirement that must be met in order to be involved in a particular discourse. Before moving on to our second distinction, and then an examination of the question of the Book, it is important to point out that both totality and figurations like the One, the Whole, and the All, come out of very human desires to totalize or to actualize our being-towards-totality. The relationship between identity and totality then can be construed, with Heidegger in mind, as striving toward wholeness, completion, or fulfillment, each of which is a quality of compendia. 6 Compilation & Selection The first distinction between parataxis and hypotaxis pertains to both form and content, and to both the mechanics of writing and the ideas to which writing refers. The second distinction pertains to both as well. In the process of writing and in the process of perception as well, there is a tension between compilation and selection . To begin with, in the work of theory-writing there is compilation, and this is because writing theory requires a broad perspective and certain measure of totalization. On the other hand, writing theory requires that the writer select an idea or a combination of ideas to individuate out of a radical and infinite multiplicity of identities and combinations. The concern here is not primarily for the writing of a theory about a specific idea, like a secondary work or a reference text. But rather the concern is with the writing of grand theories: Marx and Marxism, Derrida and Deconstruction, Husserl and Phenomenology, Sartre and Existentialism, Saussure and Structuralism —each of which strives along a trajectory towards being all-encompassing, whether it intends to or not. Today, we could even say that Speculative Realism has embarked on this journey, and perhaps now we could say that the discourse of Speculative Realism has reached the inevitable point after which a grand theory leaves the hands of its writer or writers and becomes a possession of the collective consciousness of the academy, or (perhaps now) the mass consciousness of the blogosphere—and this is a true pharmakon , a poison and a cure, a blessing and a curse. 7 When we write theory, whether the scope is that of a grand theory or a particular theory, we write in the tension between compilation (making good on the desire to be all encompassing) and selection (being required to decide and discern and to judge what is included in the work and what is deleted or appended or abridged or given over to ellipses). Generally speaking, the work of theory-writing often comes out of a desire to totalize, that is, to develop a theory of everything that is able to apprehend new experiences and ideas while still remaining whole. I grant that this is not a universal desire, and that not everyone who sits down to write a work (or book) of theory does so because of their will-to-totality, but it remains that this drive to totalize does condition a great many writers of theory (especially those who seek to develop grand theories like those mentioned previously). At the beginning of his book of interviews, Between Existentialism and Marxism , Sartre is quoted as saying, after completing the first volume of his Critique of Dialectical Reason : “I no longer feel the need to make long digressions in my books, as if I were forever chasing after my own philosophy. It will now be deposited in little coffins, and I will feel completely emptied and at peace—as I felt after Being and Nothingness . A feeling of emptiness: a writer is fortunate if he can attain such a state. For when one has nothing to say, one can say everything .” 8 This is where our two initial distinctions come to bear on the being-towards-totality as it is expressed in the concrete practice of writing: the first being between parataxis and hypotaxis , and the second being between compilation and selection. Where this second distinction is concerned there is a certain paradox at play given that selection is inescapable, and compilation is unachievable. Selection is inescapable (with the figure of the Compendium in mind) because, even when the imperative to compile is followed to excruciating lengths, selection still has the last word. This is why the Compendium is a figure rather than some material thing that can actually be accomplished or actualized. No matter how far one goes along with the will-to-archive and the will-to-compile, it is only ever a question of minimizing selection and never eliminating it. This leads to the second point, which is that total compilation is unachievable. The closest thing to total compilation that we have before us is the ontological and textual fabric of the world. Even in the case of the world, compilation cannot be enacted in a total fashion because of the need to include both the sphere of the actual and the sphere of the possible or potential. This as another way in which compilation is always-already selection, and further evidence that total compilation is practically impossible. Discursive Figuration and Total Writing Rather than figuration referring to a figure of speech or an image, here the term points to a way in which to think about the work of writing, both the work put into writing, and the work that is the result of writing: the finished yet incomplete final piece. As figures or figurations, the Book and the Compendium are ways of thinking about the work of writing and the human desire for the wholeness, completion, and fulfillment that are made manifest in the completed form of the book (whether a published or printed or saved document put to rest by the author). These two figures bear more strongly upon works that seek to be all-encompassing, and works that strive towards expressions of totality such as the One, the Whole, or the All. Moving on to the topic of the subtitle, and on a more prescriptive note, I would say that there is more hope for theory-writing to be found in parataxis than hypotaxis . Part of the reason for this claim is the poststructuralist critique of hierarchies, and yet another part is the compelling line of thinking called “weak thought” (in theology by John D. Caputo, and in philosophy by Gianni Vattimo, among others). 9 The consequences of these two convictions are such that if one is to strongly assert the truth of a grand theory without leaving the realm of hierarchy-critique and weak thought, then one must write paradoxically with parataxis in mind, and in so doing write weakly and non-hierarchically. This does not mean avoiding a sort of topography or topology when writing theory, rather it means avoiding both subjugation and oppression in thought by pursuing a nonviolent sort of ontology. In order to do this, theory writing does not present itself as an exercise in logical analysis where one mechanically moves from a set of premises (via contingency) to the inevitable conclusion (via necessity). Instead, theory approaches the idea of a Compendium. Given that the figural Compendium places parataxis and compilation above hypotaxis and selection, then the question becomes: is placing one part of a binary term before another not just another way of selecting, or another expression of hypotaxis ? Counter to the urge to resign oneself to the reign of selection, with some qualification one can nonetheless write without deciding whether selection and hypotaxis should be subservient to compilation and parataxis (which is to say that writing-without-decision is somewhere between and beyond possibility and impossibility). This dilemma can be disarmed by stating that theory writing is not about primacy, and not about having-decided-beforehand, both stylistically and also where content is concerned. This is the paradox of writing: always striving along a trajectory ( telos ) towards totality via parataxis and compilation, but always being drawn back to finitude and making selections, and placing one idea before another with hypotaxis in mind. In light of this paradox, the question of the Compendium as a figure for discourse and a figural Book has resonance with Jacques Derrida’s essay on Edmund Jabès’ Book of Questions , found in his Writing and Difference . The Question of the Book “Little by little the book will finish me.” 10 Derrida quotes Jabès, and proceeds to outline the reflexive relationship between the author of the book and the book itself, each of which are subjected to the other through a sort of chiasmus, both ontological and textual (not that the two are entirely separable). The Book, for Derrida like Blanchot in the introductory quotation, “infinitely reflects itself” and “develops as a painful questioning of its own possibility”, and in light of this we can draw an association with the painful tension between the practical reality of selection and the ideal trajectory of compilation. 11 This tension in writing, between the will to total compilation and the necessity of abridgment, is an ontological tension between part and whole just as it is a textual tension between signifier and signified. The ontological tension in writing that Derrida expresses in his essay on Jabès is between everything and nothing – a contradiction which Derrida finds in Jabès’ Book of Questions and also in the divine, in God. When one writes between compilation and selection one writes towards totality, and here we can follow Derrida who states that the lapse in signification, presumably in the signifier-signified discrepancy, is a “ rupture with totality itself” and furthermore that this lapse cannot be rectified through deductive reason or even philosophical discourse. 12 This rupture with totality, found in the troubled relation between signifier and signified, can also tell us a lot about the Book and about writing. Given an understanding of writing as an ontological act that strives towards (but never accomplishes) totality, we can see the written book as the manifested and given body of that striving. Perhaps in other disciplines or even other schools of philosophy there is a cultural climate within which the article is prized above the book, but I am fairly confident, especially when referring to the grand theories of Continental thought, that there is a respect for the book as a uniquely meaningful object capable of apprehending totality. Derrida writes, Between the too warm flesh of the literal event and the cold skin of the concept runs meaning. This is how it enters into the book. Everything enters into, transpires in the book. This is why the book is never finite. It always remains suffering and vigilant. 13 Here the vitality of the literal event is compromised by the deadening weight of the concept, and the figure of the Book assists in this lapse of meaning. The Book is a totalizing object, much like the figure of the Compendium, and yet this totalization lacks its final object of completed totality both because the figural Book is necessarily incomplete, and because the physical book is always-already a product of selection. Instead of achieving its end of being a place where everything takes place, it suffers from the lapse of writing, the discrepancy between event and concept. Derrida continues his exposition on Jabès by bringing to light yet another reflexive relation, a reversal of the relationship between the Book and the world. Derrida writes that, for Jabès, “the book is not in the world, but the world is in the book.” 14 In addition to what was stated before, I take figuration to mean that the concepts employed, such as the Book or the Compendium, are not subject to the supposed rigor of analysis that is so prized by Enlightenment or Capitalist realisms. The figure of the Book and the figure of the Compendium cannot be held accountable to standards imported from scientific method, given an understanding that these standards require a concept to be replicable, consistent, falsifiable, measurable, and so on… This is an important point to make, especially in the present atmosphere within which theory must justify itself under conditions that are not its own. Instead of being held to these standards, figuration serves as a way in which to think about writing that leaves thought open to idealistic speculation, imperfect analogies, and most importantly the ever-present gain and loss that occur in the relationship between thought and being. By extension the figural way of addressing writing indulges in enough generalization to accommodate the excess/lack relationship between the ideal form of the Book or the Compendium, and the manifested and given body of a text (as it is practically completed and closed). Here we speak against the hostile atmosphere which would have theory submit itself to hierarchical rigor, rather than Blanchot’s “enigmatic rigor”, by being explicit about the discursive conditions and epistemic conditions under which theory operates. To write with parataxis in mind is, to a certain degree, to write with weakness as one’s methodology (with weak thought being in opposition to hypotaxis and hierarchy as much as weak thought can be in opposition to anything). Rather than asserting the strength of hierarchical theory, and rather than employing antagonistic argumentation with the goal of refutation different discursive and epistemic conditions for theory writing must be cultivated (and these are by no means new). First the critical and theoretical spirit reveals itself as being concerned with the task of complication—especially the complication and critique of binaries, dichotomies, dualities, polarities, paradoxes, parallaxes, hybridities, and especially antinomies. Second, theory positions itself as a sort of showing or revealing, rather than being ultimately focused on coming to full agreement or disagreement. This is where figuration can help theory-writing, both by placing emphasis on teleologies and trajectories (like parataxis and compilation), and by shifting focus away from pure primacy, power, or absolute origin. Figuration then, assists theory writing by placing the concern of theory outside of the concerns of the hard or soft sciences, and into the realm of thought or the idea. To speak of ‘the’ Compendium or ‘the’ Book, here, is to generalize not regarding the perfect form of the Compendium or Book, but to engage speculatively with an abstract idea which remains singular and yet complicated by multiplicity. The question of the Book that Derrida asks through Jabès is a question of everything and nothing, totality and nonbeing, and this question is a concern for writing and a concern for the figure of the Compendium so defined by the tension between compilation and selection, and parataxis and hypotaxis . On the note of nonbeing, we can look to the final page of Derrida’s first essay on Jabès in Writing and Difference and notice the introduction of his neologism, différance (with an ‘a’). Derrida writes: Life negates itself in literature only so that it may survive better. So that it may be better. It does not negate itself any more than it affirms itself: it differs from itself, defers itself, and writes itself as différance . Books are always books of life (the archetype would be the Book of Life kept by the God of the Jews) or of afterlife (the archetype would be the Books of the Dead kept by the Egyptians). 15 This introduction of différance into the equation of the Book, alongside ontological affirmation and negation, hearkens back to the discussion of the symbolic lapse earlier in his essay. Differing and deferring, the Book is always a Book of Life and a figure for the intersection of the vital (life) and the total in writing. In a way, the writer of the Book may be someone who lives life, and in another way the writer of the book-as-object may be someone who engages in the act of writing, both practically (by inscribing words on paper, or typing script on a computer) and ontologically or symbolically (by investing their existence and inexistence into a work worthy of the figural Book). In addition to the writer as writer, the writer also serves as an editor, and the editorial role alongside the idea of the Compendium shows the editor to be one who collects and compiles, while being restrained by eventual selection and decision. Beyond this the editor of works and texts, in both the Book and the world, is engaged in a process of inscribing notation—of annotating (on) the Compendium. Eternal commentary is a feature of the textual Compendium, just as open-ended totality describes the ontological Compendium. The writer as writer does not simply write texts, but rather engages in a profoundly ontological act of inscribing their existence into the world, and the writer as editor does not merely annotate or alter texts as they are, but rather comments upon the text of the world. In/Conclusion So as we create texts, and as we write and create theory, let us be and remain attentive to the figure of the Compendium and the figure of the Book. These two concurrent metonymies are essential for total writing (grand theories, etc.), and may be forgettable for those concerned with fragmentary or hierarchical writing (which are valid in their own right). From the ontological and symbolic text of the world and phenomenological experience, to concrete texts such as books or mixed media, the figure of the Compendium and the figure of the Book are important for the actualization of the human will to be all-encompassing. The figure of the Compendium teaches writers of theory that the repetition, density, and fragility of parataxis offers a strong sort of weakness which does not become yet another variety of oppressive and hegemonic thought. Rather than write with hypotaxis in mind, subjugating one thought to another via cause and effect or antecedent and consequent, I would hope that theory-writing could guiltlessly indulge in the dialectical and contradictory conjugation of ideas, and take this as a legitimate methodology. Rather than being ashamed of showing resonances or giving way to abridgment or ellipses, it is my own authorial (but not authoritative) conviction that one need not give up on totalizing and constructing grand theories because of the fact that complete totalization is impossible, and one need not give up on totalizing and constructing grand theories because of the worry of violence, for the Book and the Compendium lack their completed object and are ever incomplete trajectories. NOTES * UPDATED 7/19/13: we've updated the HTML version to reflect the (correct) PDF version. Our apologies to the author—eds. 1. I would like extend thanks to Dr. Peter Schwenger of the University of Western Ontario for his comments on this paper and his hospitality as it was presented as a Theory Session at the Centre for Theory and Criticism on October 26th 2012. I would also like to thank Andrew Weiss for conversation and critique. 2. I should clarify my use of the term ‘figure’ at the outset. Given the use of the term by Jean-Francois Lyotard in Discourse, Figure (and also Gilles Deleuze in Francis Bacon ), I should state clearly that my use of the term will not correspond to the term ‘figure’ understood as the representation of an object. Instead, my use of the term ‘figure’ and its variations (‘figural’, ‘figurative’, ‘figuration’) will refer to the illustrative or metaphorical use of the Compendium or the Book as models or ways of thinking about writing and discourse. 3. Cf. Revelations 20:12-15. 4. Theodor Adorno, Aesthetic Theory , Trans. Robert Hullot-Kentor (London & New York: Continuum Press, 1997). 5. Fredric Jameson, Late Marxism: Adorno, or the Persistence of the Dialectic (London & New York: Verso, 1990), ix-x. 6. I have written about this concept of being-towards-totality elsewhere in two pieces of writing: the first is called Notes on the Compendium (an unfinished draft) which addresses some very wide theoretical concerns, being structured as a sort of itinerary or archive, and the second is Dialectics Unbound (Punctum Books, 2013) which outlines a concept of totality without the violence of totalization. While these works are more concerned with ontological totality, here I would like to focus on the idea of the Compendium as a textual totality. 7. Cf. Louis Morelle, “Speculative Realism: After Finitude and Beyond, A vade mecum” in Speculations: Journal of Speculative Realism . Issue 3 (Brooklyn, New York: Punctum Books, 2012), 241-272. 8. Jean-Paul Sartre, Between Existentialism and Marxism . Trans. John Matthews (London & New York: Verso, 1974), 9. 9. Cf. John D. Caputo, The Weakness of God (Indiana: Indiana University Press, 2006). 10. Jacques Derrida, “Edmond Jabès and the Question of the Book” in Writing and Difference . Trans. Alan Bass (Chicago: University of Chicago Press, 1978), 65. 11. Ibid, 65. 12. Ibid, 71. 13. Ibid, 75. 14. Ibid, 76. 15. Ibid, 78. (shrink)

The interpretation of Parmenides’ Περί Φύσεως is a fascinating topic to which philosophers, historians of philosophy and scientists have dedicated many studies along the history of Western thought. The aim of this paper is to present the reading of Parmenides’s work offered by Federigo Enriques. It is based on several original theses: (1) Parmenides was the discoverer of abstract geometry; (2) his critics was addressed against the Pythagoreans rather than against Heraclitus; (3) Parmenides discovered and applied the contradiction and the (...) third excluded principles in the context of his research on foundation of geometry; (4) Parmenides’s metaphysical and physical conceptions have their bases in his speculation on geometry; (5) Parmenides used the principle of sufficient reason. Enriques’s reading is worth being expounded and discussed within the historical, philosophical and scientific context in which it is inserted. Since Enriques’s ideas are not widely known and discussed, my research has the purpose to fill this gap. The article also aims to provide elements to illustrate the discussion on Parmenides in the first half of the last century. (shrink)

Starting from the current trend to digitise the university, this thesis aims to clarify the specific relation between university thinking and its use of media. This thesis is an investigation concerning the sensorial and medial conditions which enable the event of thinking to emerge at the university, i.e. conditions which do not make thinking necessary, but possible. Thinking is approached as an event which can happen while studying at the university, not as an outcome, nor a disposition or skill. The (...) ambition of this thesis is theory development and of making a contribution in the field of philosophy of education. The theoretical framework discussed in chapters one and two will allow first, an analysis of the university sensorium inspired by the work of Ivan Illich who, through a history of the senses, pioneered this kind of research applied to medieval reading practices. Secondly, the work of media philosopher Vilém Flusser is used to operationalize the analysis of media at the university; this thesis will use the Flusserian concepts of code, modes of consciousness, transcoding, gestures, intellectual field, dialogue and apparatus. The methodology consists of a novel approach inspired by Flusser’s phenomenology of gestures: in order to find traces of thinking, this investigation looks for gestures (with media) occurring in university practices, gestures which seem to imply some form of coding or transcoding. The first chapter critically discusses Ivan Illich’s historical hypothesis of the mediatic specificity of the university thinking. Illich works with a particular conception of the history of the senses through which he shows how the invention of the optical text and its way of reading gave rise to a new way of thinking which was later fostered by the university. The text emerges as an instrumental way of using the book for studying and thinking, a profanation and suspension of the book. This move is taken to be the signature move of the university which enables a particular way of thinking: abstract and non-visual thinking, which is made present through the event of reading. The second chapter introduces the media-theoretical framework of Flusser by discussing his particular take on codes and the modes of consciousness enabled by the dominant codes. Provisionally, transcoding is taken to be an indication of the event of thinking. The threshold introduces the approach of a phenomenology of gestures which will be used in the following two chapters. The third chapter examines the practice of university lecturing from a sensorial and gestural perspective by using several direct observations of lectures and historical reports of lectures. It was found that the lecture does not promote any particular sense, hence no particular mode of consciousness, and that the media in the lecture suffers a continuous transcoding. Thinking in the lecture was described as a thinking which suddenly makes itself present for all those attending the lecture. The fourth chapter examines MOOCs which are taken to be the digital counterpart of the university course. The specific media usage enabled by MOOCs is described starting from two case studies: an xMOOC and the bMOOC (designed by KU Leuven and LUCA researchers). Using interviews and an autoethnographic account, this chapter finds indications of what could be digital gestures in the MOOC and concludes that thinking in the MOOC occurs as a collective construction of a techno-image. The fifth and final chapter outlines the theoretical contributions of this thesis. The kind of thinking made possible by university practices is described as a form of collective thinking, non-productive and anti-apparatus. The ways in which this thinking is made possible are theorised by introducing the notion of mediatic displacement, a specific event in which the particular logic of media is suspended in such a way as to make room for a thinking which is not determined by any mediality. The notion of intellectual askesis is proposed for the collective enactment of attention, as the sensorial condition which makes possible the mediatic displacement. In light of these findings, the thesis proposes to understand the promise of the digital university as still a utopian project to come, because it cannot yet enable the sensorial and collective attention techniques which the classical university managed to enact through its study practices. (shrink)

The article aims to approach the concept of moistmedia and the role of art practices in contemporary culture by combining ideas about perception, technology and art, through different authors like media theorist Marshall McLuhan, philosophers Maurice Merleau-Ponty, Martin Heidegger and Vilém Flusser, and anthopologists such as Constance Classen and David Howes. Thus, if we can understand perception as the genesis of sense and meaning (Merleau-Ponty), which is also culturally shaped (Classen, Howes), understanding the very nature of technology (...) demands an understanding of the modes of perception from which it has emerged. Being able to develop art propositions which may be relevant to our moistmedia times demands an understanding of the power artworks may still have for challenging technologically shaped cultural patterns of perception, in such a way as to foster new modes of consciousness, living at risk in a world of ever-present instability. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:After Gödel: Platonism and Rationalism in Mathematics and LogicMark C. R. SmithRichard Tieszen. After Gödel: Platonism and Rationalism in Mathematics and Logic. Oxford-New York: Oxford University Press, 2011. Pp. xi + 245. Cloth, $75.00.Tieszen’s new book offers a synthesis and extension of his longstanding project of bringing the method of Husserl’s phenomenology to bear on fundamental questions—both epistemological and ontological—in the philosophy of mathematics. Gödel held Husserl’s philosophy (...) in high regard, and thought that it offered the most promising avenue for an adequate understanding of the foundations of mathematical thought and practice, but Gödel himself did not give a full systematic statement of how phenomenology might carry out that project. Tieszen takes up the task in this book, which is structured around two main guiding themes. The first is to locate the sources of Gödel’s philosophical views—principally [End Page 303] in Plato, Leibniz, and of course Husserl, along with Kant as a sort of backcloth—and the second is to argue that from these materials, a promising rationalism in mathematics and logic can be consistently articulated. Along the way we also encounter a good many of Gödel’s arguments against an array of reductive positions, Hilbert’s formalism and Carnap’s “logical syntax” project among them, as well as arguments against the prospects of a mechanical or purely computational understanding of the human mind. Many of the arguments (both negative and positive) stem from a reflection on the consequences of Gödel’s landmark incompleteness results of 1931.The core of Tieszen’s positive proposals comes in chapters 4, 5, and 6: here is where we meet with “constituted Platonism,” Tieszen’s name for the rationalist, realist synthesis of Husserl’s method and Gödel’s mathematical insights. Methodologically, the starting point is the actual practice of mathematics as a human undertaking, and its conditions of possibility. At the most general level, it is characteristic of thought to be intentional, that is, to be (or try to be) about something, to have a target, to be a bearer of meaning. So it goes for thought about items in sensory awareness, about fictional objects, or about mathematical subject-matter. Concerning the latter, what we encounter in mathematical experience are frequently “phenomena that resist our will, so that we are ‘forced’ in certain directions” (170); what accounts for this resistance to our will are invariants, which have the further characteristics of repeatability—both for a single subject, and among many subjects—and availability for convergence (221), which, I take it, means availability as structures or concepts upon which many independent rational investigators will come to rest. Thinking mathematical thoughts is quite unlike thinking thoughts about fictional items, because fictions are indefinitely plastic in the face of human will. It is also unlike thought about sensory items, in that the intentional objects at issue are not available to outer sense; but from another angle it is more like thought about real material items than imaginary beings, because our mathematical thoughts are exposed to the possibility of error or misrepresentation in various ways. (An elementary example: most people think that 1 is distinct from 0.9999... repeating: this is a misrepresentation, because they are in fact identical.)The phenomenology of mathematical practice is such that we assay various conjectures and proposals about invariants already given to consciousness by previous practice, and discover what further invariant structures or concepts are revealed as necessary constraints upon the various possibilities that we can experimentally float for ourselves. Sometimes our conjectures or intentions are fulfilled, sometimes they are frustrated; but it is the very fact of fulfillment and frustration which points us to a Platonic reality. It is not the noumenal realm of the “naive” Platonist, in Tieszen’s phrase, but nevertheless an objective reality marked off “on the basis of what stabilizes or becomes invariant in our experience, on the basis of what has a history and a sedimentation that permits of further elaboration, development, constraints, surprises, and so on” (101). In something like this way, human reason and consciousness “constitute the meaning of being” of mathematical objects... (shrink)

In their seeking of simplicity, scientists fall into the error of Whitehead's "fallacy of misplaced concreteness." They mistake their abstract concepts describing reality for reality itself--the map for the territory. This leads to dogmatic overstatements, paradoxes, and mysteries such as the deep incompatibility of our two most fundamental physical theories--quantum mechanics and general relativity. To avoid such errors, we should evoke Whitehead's conception of the universe as a universe-in-process, where physical relations perpetually beget new physical relations. Today, the most promising (...) interpretations of quantum mechanics exemplify this Whiteheadian idea, formalizing physical systems, and the universe itself, as ongoing histories of actualizations of potential states, where actual states and potential states exist in mutually implicative relation as two separate categories of reality—an idea first proposed by Aristotle and rehabilitated by Heisenberg. In these interpretations, the classical conception of a history as a derivative story about fundamental physical objects is reversed: the classical physical object becomes the derivative story about fundamental histories of quantum states. The consistent histories interpretation of Robert Griffiths and the decoherent histories interpretation of Roland Omnès are cardinal examples of this approach to quantum mechanics. Another example, the relational realist interpretation, begins with the decoherent histories approach and formalizes it explicitly as a Whiteheadian interpretation, taking his “algebraic method” and applying it to quantum mechanics via algebraic topology. This branch of mathematics can be thought of as a “de-concretized” geometry in that it focuses only on the logical relations among objects and regions (and relations of these relations) rather than the fixed magnitudes of lines, planes, and other such rigid intervals. It has all the robust logical structure of geometry yet allows for an elasticity of relations that makes topological mathematical structures inherently immune misplaced concretization. (shrink)

We present a logic for reasoning about attribute dependencies in data involving degrees such as a degree to which an object is red or a degree to which two objects are similar. The dependencies are of the form A ⇒ B and can be interpreted in two ways: first, in data tables with entries representing degrees to which objects have attributes ; second, in database tables where each domain is equipped with a similarity relation. We assume that the degrees form (...) a scale equipped with operations representing many-valued logical connectives. If 0 and 1 are the only degrees, the algebra of degrees becomes the two-element Boolean algebra and the two interpretations become well-known dependencies in Boolean data and functional dependencies of relational databases. In a setting with general scales, we obtain a new kind of dependencies with naturally arising degrees of validity, degrees of entailment, and related logical concepts. The deduction rules of the proposed logic are inspired by Armstrong rules and make it possible to infer dependencies to degrees—the degrees of provability. We provide a soundness and completeness theorem for such a setting asserting that degrees of entailment coincide with degrees of provability, prove the independence of deduction rules, and present further observations. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Logos and Alogon: Thinkable and Unthinkable in Mathematics, from the Pythagoreans to the Moderns by Arkady PlotnitskyNoam CohenPLOTNITSKY, Arkady. Logos and Alogon: Thinkable and Unthinkable in Mathematics, from the Pythagoreans to the Moderns. Cham: Springer, 2023. xvi + 294 pp. Cloth, $109.99The limits of thought in its relations to reality have defined Western philosophical inquiry from its very beginnings. The shocking discovery of the incommensurables in Greek mathematics (...) not only reintroduced these limits with greater force but also instigated two different forms of coping with the unthinkable in Western philosophy, mathematics, and science. As Arkady Plotnitsky sets forth, in response to the incommensurability crisis in the ancient Greek intellectual world, there appeared two different attitudes toward the alogon, that is, the unthinkable or irrational. Plato and his followers sought to overcome the unthinkable, of which the incommensurables in mathematics are only an example, through philosophy. In contrast, the Pythagoreans continued to hold on to mathematics as the primary means of knowing the world, but put a larger emphasis on geometry. Plotnitsky [End Page 359] claims that by not putting aside the primacy of mathematics, the Pythagorean shift from arithmetic to geometry established in Western thought a certain tolerance toward the unthinkable within the realm of the thinkable, “a possibility of the alogon in the logos.” Until modern times this remained no more than a possibility. However, in modern mathematics and mathematical physics Plotnitsky identifies a certain fulfillment of this potential, a “radical Pythagorean mathematics.” In his comprehensive and thought-provoking study, Plotnitsky recounts the development of such radical modern Pythagoreanism, not only to tell its history but also to suggest that the unthinkable is a condition of possibility for thought, and that a proper recognition of this role it plays is crucial for the advancement of mathematical thinking and thinking in general.Plotnitsky begins by portraying in broad strokes the two defining characteristics of radical Pythagorean mathematics: the presence of the unthinkable within mathematical thought itself, and the interplay of algebra and geometry. Relying on an extensive knowledge of the history of modern mathematics and physics, in the first two chapters of the book Plotnitsky gradually demonstrates the key role that the alogon plays in some theories of modern mathematical thought, such as Gödel’s incompleteness theorems and quantum mechanics. He also presents and clarifies his own conception of the history of Western thought as a creative process of concept-forming. By creating rather than discovering concepts, great mathematicians break new ground for thinking. The book as a whole argues in length for these two main theses.In chapter 3, the author addresses the thought of Bernhard Riemann to make the case that Riemann’s mathematical thought puts an emphasis on creative conceptual thinking and is not defined merely by calculations or logic. Such thinking is problem-posing rather than axiomatic. Riemann’s central innovation in this respect is the concept of manifold (Mannigfaltigkeit), which enabled him to think anew space and geometry in a radical non-Euclidean fashion, implying an infinite number of possible geometries. Plotnitsky argues—borrowing Deleuze and Guattari’s terminology—that this opened up a “plane of immanence,” which is to say that Riemann created a concept-generating movement of thought. However, we cannot grasp the generation of concepts in modern mathematics without giving proper attention to the interplay of algebra and geometry that defines it. Chapter 4 demonstrates this interweaving of the two fields by recounting the history of the idea of the curve in modernity, from the analytic geometry and calculus of Fermat and Descartes to its modification in the concept of a Riemann surface, up to its more recent developments in the algebraic geometry of Weil and Grothendieck. It gives a historical account of the algebraization of the curve that at the same time brings into relief the irreducible geometrical aspect, continuity, of all modern mathematical conceptualizations of the curve.The next two chapters provide further case studies. Chapter 5 expands and solidifies the argument of chapter 2. It discusses three examples of mathematical practice, each displayed by a pair of important [End Page 360] mathematicians: Abel and Galois, Lobachevsky and Riemann, Weil and Grothendieck. Each case... (shrink)

Translated by Drew S. Burk and Anthony Paul Smith. Excerpted from Struggle and Utopia at the End Times of Philosophy , (Minneapolis: Univocal Publishing, 2012). THE END TIMES OF PHILOSOPHY The phrase “end times of philosophy” is not a new version of the “end of philosophy” or the “end of history,” themes which have become quite vulgar and nourish all hopes of revenge and powerlessness. Moreover, philosophy itself does not stop proclaiming its own death, admitting itself to be half dead (...) and doing nothing but providing ammunition for its adversaries. With our sights set on clearing up this nuance, we differentiate philosophy as an institutional entity, and the philosophizability of the World and History, of “thought-world,” which universalizes the narrow concept of philosophy and that of “capital.” We also give an eschatological and apocalyptical cause to this end, of “times” or “ages” rather than those of philosophical practice. Last but not least, it is the Future itself in the performativity of its ultimatum that determines this end times, reversing these times from the Identity the Future accorded to it, withdrawing the thought-world from the lie of its death. Why this style of axioms and oracles, these more or less subtle distinctions, old and debased, with an appeal to the ultimata , to end times and last words? We fight to give, parallel to the concept of Hell, its new theoretical position, for its philosophical return and its non-philosophical transformation. No more so than any other word, Hell is not a metaphor here, just the Principle of Sufficient World. Every man, no doubt, has his “hell” readily available, connivance, control, conformism, domestication, schooling, alienation, extermination, exploitation, oppression, anxiety, etc. We have our little list that the Contemporaries established in the previous century in the same way one used to construct lists of virtues and vices or honors and wealth. They invented it for us without knowing it, for us-the-Futures who have as our responsibility to invent its use. In the Christian and Gnostic tradition, the struggle of the End Times takes place “on earth.” The most sophisticated of believers have it taking place in Heaven as well, above all in Heaven. The various kinds of gnosis imagine infinite falls and vertiginous highs, the vertigo of salvation. On Earth as in Heaven, a hell is available. The Marxists have the law of profit and the control of production, the class struggle Capital imposes on man. The Nietzscheans, the dull grumble of the struggle in the foundations of World and History, the domestication of man, the society of control. The phenomenologists, the capture of being, the most superficial amongst them, the age of suspicion. But all of these “hells” are taken from World, History, Society, and Religion. What we call Hell is no longer of the order of these specific and total intra-worldly generalities, it is both more singular and more universal, no longer being at all of the same order, it is the determinant Identity of these small hells strung out through history but unified here in the name of the last Humaneity. It is even found within the French idiom for hell [ enfer ], en-fer literally means “in-irons.” We are as much “in-irons” as we are “alive” [ en-Vie ]. We believe in Hell but as non-philosophers and it is even because we are non-philosophers that we can believe in it outside of any sort of religion. Hell is less mythological than ideological, it combines philosophizability with universal capital. Under what form? A single term could work for them without being a metaphor or something they would participate in by analogy, a more innovative and conjectural term than control, more universal than profit. It would denote the growing and permanent extortion of a surplus-value of communication, of speed and of urgency in change, in productivity and in work, in the pressure of images and slogans. It would be worse than solicitation, more tenacious than capture, more active and persecutory than control, softer and more insidious than a frontal attack, just as perverse as questioning and accusation, less brutal and offensive than extermination, less ritualized than inquisition, it would be soft and dispersed, instantaneous and vicious, it would be a crime without declared violence. Collusion and conformism, it would be afraid to show itself. Related to rumor, from which it borrows its infinite and tortuous ways. It is harassment. As a modernized form of Hell, perhaps harassment has a long future in front of it, of innocent torture, slow assassination, in short the fall, but radical with no way of recovering and which tolerates only salvation. THE PHILOSOPHICAL PAST OF NON-PHILOSOPHY Non-philosophy is thus Man as the utopian identity of the philosophical form of the World, a utopia destined to transform it. We still have to understand these equations, in particular that of the being-uni-versed from Man, and this book adheres to this by re-exposing non-philosophy in a different way via one of its new possibilities. It uses this opportunity to once again take up formulations that lead to objections answering certain external critics, as well as revisiting diverging interpretations specific to non-philosophers. A portion of this book is devoted to going through these theories via a strict or “lengthy” presentation of non-philosophy, and its defense against more expeditious solutions. This work of rectification is the occasion, merely the occasion, for refocusing non-philosophy on Man (the “Man-in-person,” “Humaneity”), and in a more innovative manner, on its utopian vocation established since the book Future Christ . As for this “occasion,” it is quite obvious. A school of posture, not to say a school of thought, supposes a minimum of closure from the most liberating of knowledge, a heritage, its utilization, and its no less certain dispersal. Within its development, a variety of interpretations will no doubt appear, deviations that are as much normalizations, and a struggle against this multiplication of divergent tendencies. These are perhaps not inevitable evils, especially here, merely a normal development according to the twisting paths of history. But the problem is made worse by the fact that this school of non-philosophers is that of utopia. Not the former attempts devoted to commenting on the worst authoritarian and criminal forms of the past and the present, but utopia as the determinant principle for human life, or to put it another way, of the Future as an irreducible presupposition of (for) thinking the World and History. Non-philosophers are engaged in an aleatory navigation between the respect for the most rigorous utopia, whose rules are not that of the reproductive imagination but those from the Future determining imagination itself, as well as the temptations, diversions, and remorse of history. Little by little, we will begin to understand that the Future as we understand it no longer has any temporal consistency or positive content, without being an empty form or a nothingness, but that it is foreclosed to past and present History, just as it is foreclosed to the place of places, the World, and that it is the only method for establishing the practice of thinking in a non-imaginary instance. Because it is the World and History that are imaginary and have a terrible materiality, it is not necessarily utopia. We will overlap two objectives here: the defense of non-philosophy against the (non-) philosophers that we are, only occasionally, and the introduction of philosophy to a rigorous future. Together they set out to definitively render, without any possible return to philosophical conformism or towards the facilities of the past and present, the non-philosophical enterprise understood as utopia or uchronia. Imagination and speculation, left to themselves and thus undistinguished, are quite good for participating in the grand game of History but have little value or worse for the Future which is unimaginable and unintelligible and must be maintained as such. MAN-IN-PERSON AS SUSPENSION OF THE PHILOSOPHICAL CHORA The point where philosophical resistance is concentrated is without a doubt the invention of the Name-of-Man, first name, oracular as much as axiomatic, of the determining cause for the non-philosophical posture. And that which concentrates the differends is the style of non-philosophy as identity that possesses the dual aspect, of discipline and of the oeuvre, of the theorem and of the oracle. But the real difficulty in understanding the simplicity of non-philosophy is profoundly hidden in the depths of philosophy itself. Because philosophy, from Parmenides to Derrida, even Levinas, continues to be a divided gesture, without a veritable immanence, transforming its thematic contents of transcendence in also forgetting to transform the operative transcendence in the element from which the ontology of surface is established which we will call, in memory of Plato, the chorismos. The general effect of the chora literally gives place to philosophy, demanding binding and sutures to which we will once and for all “oppose” the Man-in-person, his power of cloning, and his future being. All philosophy contains a hinter-philosophy in which it deploys its operations and weaves its tradition like an understudy of a topographical nature and in the best of cases being itself topological. Philosophy as well consists of two levels, its pre-ontological operative conditions on the one hand, and its superficial theme on the other, it too has its presupposed, but is not aware of it or erases it within the unity of appearance named Logos. Rightly, the Logos, and its flash or lightning nature, possesses a “dark precursor,” the chora, which is as much a virtual image, and philosophy, dazzled by its own lightning flash, seems to completely forget about it at the same time it sets itself up within it. Non-philosophy risks taking this same path, of confusing what it believes to be the real with its phantom double, contenting itself to working on the thematic level of philosophy, not its surface objects and its idle chatter (we stopped talking about this a long time ago and in any case they are merely simple materials for inducing a work of transformation), but the transcendence-form of its objects. In the end it risks, through precipitation, taking back up the heritage of philosophy, a heritage of a misunderstood presupposed, even more profound than the play of transcendences. This is what the imperative of the radicality of immanence meant, to treat immanence in an immanent manner, not to make a new object out of it. And from here we get non- (philosophy) and its refusal of the Platonic chorismos , symbol of all abstraction, and thus all transcendental appearance. There are no illusions. The message will leave a heritage in tattered pieces and interpretations. But it was difficult not to dispute the differend to its core. There will be complete confusion of the multiple, possible, and necessary effectuations of non-philosophy with its interpretations. The non-philosophical or human freedom of philosophical effectuation and the philosophical freedom of interpretation. Effectuations demand non-philosophy to return to zero from the point of view of its philosophical material and thus also but within these limits the formulation of its axioms , but in no way providing from the outset divergent interpretations of the aforementioned axioms. They are divergent because they do not take into account the material from which these axioms are derived within non-philosophy, and because they do not see themselves as symptoms of another vision of the World. The utterances of non-philosophy are not mathematical theorems and pure axioms, they merely have a mathematical aspect . They are, by their extraction or origin, mathematical and transcendental. And by their determined function in-Real, within non-philosophy, they are identically in-the-last-Humaneity entities which have an aspect of an axiom and an aspect of interpretation (or an oracular aspect as we say) that attempts (sometimes it is ourselves who provide the occasion) to isolate and transform, in complete freedom of interpretation. There will be an opportunity to complain about the complex character of the language of non-philosophy, an idiom saturated with classical references, sophisticated in a contemporary way. Its freedom of decision up against the whole of philosophy demands these effects of “complication” and “privatization,” as the saying goes. But it also demands fighting against the drift [ dérive ] of the pedagogical-all and the mediatic-all that leads philosophy into the shallow depths of opinion, which is the site of its impossible death. The noble idealism of “pop-philosophy” has been consumed into a “philo-reality;” against this we propose philo-fiction. Parricide, which is at the bottom of these interpretations and which we can judge as being quite fertile, although it has informed tradition, only takes place once or within one lone meaning. In regards to Parmenides, it was possible; Plato introduced the Other as non-being and language, bringing into existence the philosophical system of the World, but is it possible to repeat it again with the same fecundity in regards to non-philosophy, this time in introducing (non) religion or (non) art, still mixing them without taking into account this mixture, alternatively as a philosophical or religious resentment? If philosophy begins via a crime, it is no doubt obliged to continue down similar pathways, to the effect that the crimes of philosophy, once the founding crime has been committed, are a reaction of self-defense. It is undoubtedly from this that we get Marx’s declaration that history begins by tragedy and repeats itself or ends in farce. The preservation of rigor and fecundity is, in every respect, a psychologically difficult task within a theory such as non-philosophy. Having posited an essential objective of liberation in regards to philosophy and its services, one has often understood this objective as an authorization of providing particular interpretations of its axioms and ends up obliterating their scope. This ends up confusing, on one hand, two kinds of freedoms in regards to non-philosophy, the freedom of its interpretations and the freedom of its effectuations. On the other hand, any defense of “principles” against precipitated interpretations is immediately taxed with a will to orthodoxy, a prohibitive objection when we are dealing with, as is the case here, a heretical theory of thought. Nevertheless, it is time to stop confusing heresy as the cause of thought with an ideology of heresies, which is certainly not at all our object, but rather a form of normalization. As for the “disciplinary” aspect, which is not the only aspect, it demands something other than philosophical “answers to objections,” a precision in the definition and use of its procedures in the formation of utterances, since non-philosophy is neither a supplementary doctrine interior to philosophy nor a vision of the world but one whose priority is a “vision of Man,” or rather Man as “vision” that implies a theory and a practice of philosophy. In the end, struggle is only one aspect of non-philosophy, not its whole or telos, struggle coming only from its materiality. In particular, if the discipline of non-philosophy is inseparable from struggle, it is not a question of reducing the monomaniacal obsession of its “marching orders.” This would reduce its complexity and kill its indivisibility, deploying it in a “long march” and a form of Maoization whose philosophical presuppositions no longer have any pertinence here, a case of the One and the Two, which are now cloned and no longer tied together. More generally, non-philosophy is a complex thought composed of a multitude of aspects, which is to say, unilateral interpretations, of a philosophical origin but reduced by their determination in-the-last-instance . The “liberalism” of non-philosophy is merely one of the aspects of which it is capable, not an essence. Similarly, it is only capable of having a “Maoist” aspect. Let us generalize. The weakness of non-philosophy is due to a specific cause, the determination-in-the-last-Humaneity of a subject for the World. Everything that has a right to the philosophical city can be said about it in turn and in a retaliatory mode since Man contributes nothing of himself that Man takes from the World. We can consider non-philosophy as being pretentious, absurd, idealistic, empty, materialistic, formalistic, contradictory, modern, post-modern, Zen, Buddhist, Marxist; it endures or tolerates, perhaps “appeals” to, or at least renders possible, sarcasms, ironies, and insults without even talking about the misunderstandings, partly for the same reason as psychoanalysis. All of this goes beyond simple “deviations.” They are its aspects, which is to say, its “unilateral” philosophical interpretations in both senses of the word, being either sufficient coming from the mouth of philosophers, or reduced to their absolute dimension of sufficiency and totality in the mouths of non-philosophers, and both times due to the weakness and strength of Man-in-person as their determination only in-the-last-instance. The non-philosopher is certainly not a Saint Paul fantasizing about a new Church. The non-philosopher is either a (Saint) Sebastian whose flesh is pierced with as many arrows as there are Churches, or a Christ persecuted by a Saint Paul. What is engaged in here is the practice of retaliation. A negative rule of the non-philosophical ethics of outlawed discussion by way of argumentation (the sufficient is you, the orthodox one is always you, you are the fashionable one, and when a master you are someone else) that is founded on the confusion of effectuations of non-philosophy and of its overall interpretations. Retaliation is the law but as with any too-human law, it must acquire a dimension that displaces it, or rather emplaces it and takes away its authority but not all of its effectiveness. If the non-philosopher is only authorized by himself, which is to say by philosophy but limited by the Real-of-the-last-instance, its critique of other non-philosophers can merely be retaliatory under the same conditions, only by the Real limited in-the last-instance. THE TREE OF PHILOSOPHICAL SAINTLINESS The thematic horizon or material of these debates is in the relationships between philosophy, religion as gnosis, and non-philosophy. It is inevitable, regarding non-philosophers in general (whether they are non-philosophers by name or simply its neighbors) that we often end up evoking Marx’s Holy Family and imagining, arranged on the neighboring branches of the tree of philosophy and annexed, sometimes abusively, to non-philosophy, authors who would quite evidently and quite rightly refuse this label. So it is that we find, for example, a Saint Michel, a Saint Alain, a Saint Gilles 1 without even mentioning the youngest who aspire as well to the freedom of “saintliness” and who make their muted voices heard here. If there is a Holy Family of non-philosophers, it extends completely beyond these three, provided that the sectarian spirit can save us. This book is organized in the following manner: To begin, in order to recall the essential part of the problematic, we have organized a Summary of Non-Philosophy , a vade-mecum of notions and basic problems, in a classical style. Secondly, there is Clarifications On the Three Axioms of Non-Philosophy , designed to posit their proper use as much as to elucidate their meaning. Thirdly, an analysis of Philosophizability and Practicity , both being extreme constituents of philosophical material or the contents of the third axiom. Fourthly, the heart of this work: Let us Make a Tabula Rasa of the Future or of Utopia as Method . Fifthly, we have a theoretical outline of a non-institutional utopia, The International Organization of Non-Philosophy, L’Organisation Non-Philosophique Internationale, (ONPHI) already created in practice but under the conditions of possibility and functioning from which here we put into question “de jure,” thus not without a perplexity concerning “facts,” in any case, without the capability of “getting to the bottom of things.” Sixthly, an essay characterizing The Right and the Left of Non-Philosophy , a brief topology of several philosophizing and normalizing positions of proponents or tenants of this problematic. Seventhly, Rebel in the Soul: A Theory of Future Struggle , a systematic discussion starting from a confrontation of non-philosophical gnosis and non-religious gnosis to the extent that they pose, posed or perhaps still will pose themselves as rivals to non-philosophy in a mixture of fidelity and infidelity. Despite the fact that it can also be read as putting non-philosophy into perspective: it pits against a standard Platonism two contemporary appropriations of Gnosticism. On the basis of the paradigm of Man who never ceases to come as the Future-in-person, each one of these moments strives to reestablish not the “true” non-philosophy and its orthodoxy, but the minimal conditions to respect in order to allow for its maximum fecundity. And in order to bring about one of the last possibilities of its development, making explicit Humaneity as a utopia-for-the-World. In introducing these considerations in the form of a “testament” and “ultimatum,” we want to indicate two things: First, that this is the last time we will intervene in order to caution non-philosophers against the temptation of returning and looking backwards towards philosophy. Only a disillusioned nostalgia for the former World and its traditions barely remain permissible to us.… Secondly, that non-philosophy is also a sort of ultimatum for considering one’s life and transforming one’s thought from the perspective of a uni-version rather than a conversion. Man as future is this ultimatum in action, not an impatient self-proclaimed genius, and philosophy is his testament. It is obviously the ultimatum that determines this testament as “old” with a view towards a life that is, itself, non-testamentary. In and of itself, the “old” can never bear a veritable eschaton. Thus, this book intersects according to the logic of this paradigm, under the sign of the ultimate or “last” as future, philosophy as testament and cautionary note for maintaining the non-philosophical oeuvre as “future” or “utopian.” We will see that between these two dimensions it cradles a theory of struggle. In the end, this book envisions non-philosophers in multiple ways. It inevitably sees them as subjects of knowledge, most often academics insofar as life in the world demands, but above all as close relatives of three great human types. The analyst and political militant are quite obvious, for non-philosophy is close to psychoanalysis and Marxism insofar as it transforms the subject in transforming philosophy. Here again, one must have a sense not of certain nuances but of aspects (of the interpretations, albeit unilateralized) and not in order to construct a simple proletarization or militarization of thought as theory. To be rigorous, rather than authoritarian or spiteful, is its task. And lastly, non-philosophy is a close relative of the spiritual but definitely not the spiritualist. Those who are spiritual are not at all spiritualists, for the spiritual oscillate between fury and tranquil rage, they are great destroyers of the forces of Philosophy and the State, which are united under the name of Conformism. They haunt the margins of philosophy, gnosis, mysticism, science fiction and even religions. Spiritual types are not only abstract mystics and quietists; they are heretics for the World. The task is to bring their heresy to the capacity of utopia, and their utopia to the capacity of the paradigm. NOTES We will recognize allusions, and sometimes references, to closely related or distant themes, but which are related, in the work of Michel Henry, Alain Badiou and via the representative of “non-religious” gnosis of a Platonic origin, in Gilles Grelet. It goes without saying that these discussions are current and local, neither concerning the ensemble of doctrines nor prejudging the eventual evolution of certain amongst them. This concerns defining certain proximities with non-philosophy (rather than adversaries which in some sense they are) and typological and emblematic differends (rather than conflicts with a certain author). (shrink)

Gödel's Philosophical Legacy Kurt Gödel's contributions to philosophy extend beyond his incompleteness theorems. He engaged deeply with the work of other philosophers, including Immanuel Kant and Edmund Husserl, and explored topics such as the nature of time, the structure of the universe, and the relationship between mathematics and reality. Gödel's philosophical writings, though less well-known than his mathematical work, offer rich insights into his views on the nature of existence, the limits of human knowledge, and the interplay between the finite (...) and the infinite. His work continues to inspire and challenge philosophers, mathematicians, and scientists, inviting them to explore the profound and often enigmatic questions at the heart of human understanding. -/- Kurt Gödel's Broader Contributions to Philosophy Kurt Gödel, while primarily known for his monumental incompleteness theorems, made significant contributions that extended beyond the realm of mathematical logic. His philosophical pursuits deeply engaged with the works of eminent philosophers like Immanuel Kant and Edmund Husserl. Gödel's explorations into the nature of time, the structure of the universe, and the relationship between mathematics and reality reveal a profound and multifaceted intellectual legacy. -/- Engagement with Immanuel Kant Gödel held a deep interest in the philosophy of Immanuel Kant. He admired Kant's critical philosophy, particularly the distinction between the noumenal and phenomenal worlds. Kant posited that human experience is shaped by the mind’s inherent structures, leading to the conclusion that certain aspects of reality (the noumenal world) are fundamentally unknowable. Gödel’s incompleteness theorems echoed this Kantian theme, illustrating the limits of formal systems in capturing the totality of mathematical truth. Gödel believed that mathematical truths exis t independently of human thought, akin to Kant's noumenal realm. This philosophical alignment provided a robust foundation for Gödel's Platonism, which asserted the existence of mathematical objects as real, albeit abstract, entities. -/- Influence of Edmund Husserl Gödel was also profoundly influenced by Edmund Husserl, the founder of phenomenology. Husserl's phenomenology emphasizes the direct investigation and description of phenomena as consciously experienced, without preconceived theories about their causal explanation. Gödel saw Husserl's work as a pathway to bridge the gap between the abstract world of mathematics and concrete human experience. Husserl's ideas about the structures of consciousness and the intentionality of thought resonated with Gödel's views on mathematical intuition. Gödel believed that human minds could access mathematical truths through intuition, a concept that draws on Husserlian phenomenological methods. -/- The Nature of Time and the Universe Gödel's philosophical inquiries extended to the nature of time and the structure of the universe. His collaboration with Albert Einstein at the Institute for Advanced Study led to the development of the "Gödel metric" in 1949. This solution to Einstein's field equations of general relativity described a rotating universe where time travel to the past was theoretically possible. Gödel's model challenged conventional notions of time and causality, suggesting that the universe might have a more intricate structure than previously thought. Gödel's exploration of time was not just a mathematical curiosity but a profound philosophical statement about the nature of reality. He questioned whether time was an objective feature of the universe or a construct of human consciousness. His work hinted at a timeless realm of mathematical truths, aligning with his Platonist view. -/- Mathematics and Reality Gödel's philosophical outlook extended to the broader relationship between mathematics and reality. He believed that mathematics provided a more profound insight into the nature of reality than empirical science. For Gödel, mathematical truths were timeless and unchangeable, existing independently of human cognition. This perspective led Gödel to critique the materialist and mechanistic views that dominated 20th-century science and philosophy. He argued that a purely physicalist interpretation of the universe failed to account for the existence of abstract mathematical objects and the human capacity to understand them. Gödel's philosophy suggested a more integrated view of reality, where both physical and abstract realms coexist and inform each other. -/- Gödel's Exploration of Time Kurt Gödel, one of the most profound logicians of the 20th century, ventured beyond the confines of mathematical logic to explore the nature of time. His inquiries into the concept of time were not merely theoretical musings but were grounded in rigorous mathematical formulations. Gödel's exploration of time challenged conventional views and opened new avenues of thought in both physics and philosophy. -/- Gödel and Einstein Gödel’s interest in the nature of time was significantly influenced by his friendship with Albert Einstein. Both were faculty members at the Institute for Advanced Study in Princeton, where they engaged in deep discussions about the nature of reality, time, and space. Gödel's exploration of time culminated in his solution to Einstein's field equations of general relativity, known as the Gödel metric. -/- The Gödel Metric In 1949, Gödel presented a model of a rotating universe, which became known as the Gödel metric. This solution to the equations of general relativity depicted a universe where time travel to the past was theoretically possible. Gödel’s rotating universe contained closed timelike curves (CTCs), paths in spacetime that loop back on themselves, allowing for the possibility of traveling back in time. The Gödel metric posed a significant philosophical challenge to the conventional understanding of time. If time travel were possible, it would imply that time is not linear and absolute, as commonly perceived, but rather malleable and subject to the geometry of spacetime. This raised profound questions about causality, the nature of temporal succession, and the very structure of reality. -/- Philosophical Implications Gödel’s exploration of time extended beyond the mathematical implications to broader philosophical inquiries: Nature of Time: Gödel questioned whether time was an objective feature of the universe or a construct of human consciousness. His work suggested that our understanding of time as a linear progression from past to present to future might be an illusion, shaped by the limitations of human perception. -/- Causality and Free Will: The existence of closed timelike curves in Gödel’s model raised questions about causality and free will. If one could travel back in time, it would imply that future events could influence the past, potentially leading to paradoxes and challenging the notion of a deterministic universe. -/- Temporal Ontology: Gödel's work contributed to debates in temporal ontology, particularly the debate between presentism (the view that only the present exists) and eternalism (the view that past, present, and future all equally exist). Gödel’s rotating universe model seemed to support eternalism, suggesting a block universe where all points in time are equally real. Philosophy of Science: Gödel’s exploration of time had implications for the philosophy of science, particularly in the context of understanding the limits of scientific theories. His work underscored the importance of considering philosophical questions when developing scientific theories, as they shape our fundamental understanding of concepts like time and space. -/- Legacy Gödel’s exploration of time remains a significant and controversial contribution to both physics and philosophy. His work challenged established notions and encouraged deeper inquiries into the nature of reality. Gödel’s rotating universe model continues to be a topic of interest in theoretical physics and cosmology, inspiring new research into the nature of time and the possibility of time travel. In philosophy, Gödel’s inquiries into time have prompted ongoing debates about the nature of temporal reality, the relationship between mathematics and physical phenomena, and the limits of human understanding. His work exemplifies the intersection of mathematical rigor and philosophical inquiry, demonstrating the profound insights that can emerge from such an interdisciplinary approach. The Temporal Ontology of Kurt Gödel Kurt Gödel's profound contributions to mathematics and logic extend into the realm of temporal ontology—the philosophical study of the nature of time and its properties. Gödel's insights challenge conventional perceptions of time and suggest a more intricate, layered understanding of temporal reality. This essay explores Gödel's contributions to temporal ontology, particularly through his engagement with relativity and his philosophical reflections. -/- Gödel's Rotating Universe One of Gödel’s most notable contributions to temporal ontology comes from his work in cosmology, specifically his solution to Einstein’s field equations of general relativity, known as the Gödel metric. Introduced in 1949, the Gödel metric describes a rotating universe with closed timelike curves (CTCs). These curves imply that, in such a universe, time travel to the past is theoretically possible, presenting a significant challenge to conventional views of linear, unidirectional time. -/- Implica tions for Temporal Ontology Gödel's rotating universe model has profound implications for our understanding of time: Eternalism vs. Presentism: Gödel’s model supports the philosophical stance known as eternalism, which posits that past, present, and future events are equally real. In contrast to presentism, which holds that only the present moment exists, eternalism suggests a "block universe" where time is another dimension like space. Gödel’s rotating universe, with its CTCs, reinforces this view by demonstrating that all points in time could, in principle, be interconnected in a consistent manner. Non-linearity of Time: The possibility of closed timelike curves challenges the idea of time as a linear sequence of events. In Gödel’s universe, time is not merely a straight path from past to future but can loop back on itself, allowing for complex interactions between different temporal moments. This non-linearity has implications for our understanding of causality and the nature of temporal succession. Objective vs. Subjective Time: Gödel’s work invites reflection on the distinction between objective time (the time that exists independently of human perception) and subjective time (the time as experienced by individuals). His model suggests that our subjective experience of a linear flow of time may not correspond to the objective structure of the universe. This raises questions about the relationship between human consciousness and the underlying temporal reality. -/- Gödel and Philosophical Reflections on Time Gödel’s engagement with temporal ontology was not limited to his cosmological work. He also reflected deeply on philosophical questions about the nature of time and reality, drawing on the ideas of other philosophers and integrating them into his own thinking. Kantian Influences: Gödel was influenced by Immanuel Kant’s distinction between the noumenal world (things as they are in themselves) and the phenomenal world (things as they appear to human observers). Gödel’s views on time echoed this distinction, suggesting that our perception of time might be a phenomenon shaped by the limitations of human cognition, while the true nature of time (the noumenal aspect) might be far more complex and non-linear. Husserlian Phenomenology: Gödel’s interest in Edmund Husserl’s phenomenology also informed his views on time. Husserl’s emphasis on the structures of consciousness and the intentionality of thought resonated with Gödel’s belief in the importance of intuition in accessing mathematical truths. Gödel’s reflections on time incorporated a phenomenological perspective, considering how temporal experience is structured by human consciousness. Mathematical Platonism: Gödel’s Platonist views extended to his understanding of time. Just as he believed in the independent existence of mathematical objects, Gödel saw time as an objective entity with a structure that transcends human perception. His work on the Gödel metric can be seen as an attempt to uncover this objective structure, revealing the deeper realities that underlie our experience of time. (shrink)

Science is fundamentally devoted to generating original knowledge, and therefore concepts of scientific originality are keys to understanding its very essence. Scientific originality has long been thought of as discovery, but new studies of the humanities and social sciences have shown that other, discipline-specific concepts of originality are used in these fields of study. Does this finding also hold for disciplines in the natural science, medicine, and engineering? Are concepts of originality scientifically grounded or do they instead reflect extrascientific modes (...) of originality? These questions lie at the heart of research proposals responding to an initiative explicitly calling for original scientific projects. The proposals undergo a two-step analysis based on grounded theory[Per style, reference citation is not allowed in abstract section. Hence, we have deleted Charmaz, 2006. Please approve.]. First, three empirically identified modes of scientific originality are described: temporal, partially different, and revolutionary. The three modes of originality are consistent with extrascientific ones such as those in art and fashion. Second, six disciplines—two each in the natural science, medical, and engineering—are analyzed for ways the three modes of originality are used and for their associated disciplinary characteristics in order to identify discipline-specific concepts of originality. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:BOOK REVIEWS 147 The Godly Image: Christ and Salvation in Catholic Thought from Anselm to Aquinas. By ROMANUS CESSARIO, O.P. Studies in historical theology. v. 6. Petersham, Mass.: St. Bede's Publications, 1990. Pp. xxiv + 214. $14.95 (paper). The Godly Image presents a retouched version of the author's dissertation, first published in 1982 as Christian Satisfaction in Aquinas: Towards a Personalist Understanding (Washington, DC: University Press of America). Seeking (...) a broader audience, the author has dropped the dissertation's numerous Latin footnotes, shortened and enlivened the chapter titles, and streamlined some of his arguments (e.g., pp. 9395 ). He has as well corrected (e.g., on Pannenberg, p. xxii; on Anselm, p. 157) or toned down (e.g., the description of monastic theology, p. 1) earlier statements. Reference to the possibility that Aquinas suffered a nervous breakdown disappears (p. 18). Still, the work remains substantially the same, reproducing even some typos (e.g., William of St. Armour [sic], p. 3) from the original. The new subtitle, Christ and Salvation in Catholic Thought from Anselm to Aquinas, is unfortunate. First, it leads one to expect a survey of the major soteriological positions articulated in the period between the two, hut such is not forthcoming. The work remains what the original title indicated, a study in the thought of Aquinas. Second, in that work Anselm plays hut a perfunctory role, serving as the foil from whose mercantile model (p. 73) or juridical mentality (p. 91) Thomas can advance to a more appropriately interpersonal grasp of the mode of our salvation. This reading of Anselm, however, leaves him in the hands of liberal Protestant historians of doctrine of the nineteenth century, and, as the bibliography indicates, it ignores more recent literature which rightly stresses the metaphysical and religious depth of Anselm's key concept of iustitia. For a precise rendering of the relation between Anselm and Aquinas, one may wish to place greater emphasis on ST III, q.14, a.I, ad 1. In that text Aquinas accomplishes two things. First, he integrates Anselm's concept of satis· faction with the traditional religious insight that, in some sense, Christ suffered what sinners deserve to suffer. At the same time he deepens the concept by rendering explicit the place of love and obedience as the formal element in satisfaction and thus rejoins Anselm in rejecting any strict notion of penal substitution. These reservations aside, the author's thorough, comprehensive, and competent investigation into Aquinas fills a lacuna in the history of soteriology, a lacuna, one regrets to say, still left open by the work of his immediate predecessor, B. Catao. At the same time the scope 148 BOOK REVIEWS of the author's work offers a further and important contribution. By researching Thomas's thought on satisfaction in the context of penance as well as soteriology, the author manages to suggest, and explicitly, that the generative matrix for Thomas's theoretic work in both areas lies in the cruciform dynamics of Christian conversion, the life of grace. With this insight he opens a door from historical theology to a contemporary systematics. Catholic University of America Washington, D.C. WILLIAM P. LOEWE Free Will and the Christian Faith. By W. S. ANGLIN. Oxford: Clarendon Press, 1990. Pp. vii + 218. $55.00 (cloth). W. S. Anglin, a Post-Doctoral Research Fellow in Mathematics at McGill University, has produced a highly compact and compelling volume which attempts in just 218 pages to prove God's existence, to argue for personal immortality, to defend the coherence of theism against the problem of evil, to provide cogent analyses of both omnipotence and omniscience, and to examine criteria for distinguishing divine revelation from other forms of communication. The thread holding these rather motley swatches of cloth together is the author's concentration on libertarian freedom which weaves throughout the above issues in one way or another. It shows up in the expected places (e.g., in the so-called 'free will defense' of the problem of evil) but also in places hitherto unexpected (Anglin nicely argues that if humans are truly free in the libertarian sense, then it is appropriate and necessary that the Scriptures take the... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Singing Democracy:Music and Politics in Jean-Jacques Rousseau's ThoughtJulia SimonComment? Tous les intervalles de mon Clavecin sont altérés?... Fi, le vilain instrument; ne m'en parlez plus.... Je veux chanter.—Anton Bemetzrieder, Leçons de ClavecinDemocratic theory of the eighteenth century, and particularly Rousseau's, is suffused with the idealism and lack of pragmatism that make it both immensely compelling and extraordinarily frustrating. Conceived under the decaying edifice of the absolute monarchy, it strives (...) toward perfection, offering theoretical formulations that often defy practical application. Yet this theory continues to inspire democratic practice and political debates even more than 200 years after its writing. In one passage of Du contrat social Rousseau asserts, "If there were a people of Gods, it would govern itself democratically. Such a perfect government is not suited to men."1 And yet the thrust of the work and the critical force of Rousseau's corpus encourage and challenge us to strive toward democracy, as impossible a goal as it may be for mere mortals.Alongside Rousseau's works in social and political theory lies another vast body of theoretical work in music. Rarely, if ever, are they read in tandem. Music in the eighteenth century suffers from many of the same difficulties that political theory does, especially the tendency toward a level of abstraction that defies practical application. Like the problem of democracy in the eighteenth century, music also presents the temptation of retreat into a world of abstract perfection based on mathematical certainty with little relation to practical reality. [End Page 433] Perhaps nowhere is the tension so acute between the ideal and the real in music as in the domain of tuning specifically, in keyboard tuning, and the question of tempering. So as in the political domain, there is a potentially wide gulf between music theory and music practice.If there is any hope of realizing democracy in the way that Rousseau understood it, an exploration of his music theory may provide the crucial bridge between theory and practice. Rousseau's theoretical work in music, and singing in particular, covers a number of distinct subject areas. First, his proposal for a new system of musical notation links directly to democratic impulses in his political and social theory. Second, the kinds of emotions that music stirs are related in Rousseau's thought to forms of expression that remain closer to their natural origins. Finally, Rousseau's preference for melody, as opposed to harmony, relates directly to his conception of the political sphere and specifically to the relationship between the general will and the workings of the body politic in a democracy. Unexpectedly, reading Rousseau's musical theory alongside his democratic theory produces a nuanced and moderate view of the social contract that deepens our understanding of the relationship between relative and absolute values in politics as well as in music and offers a model for practice.Musical Notation and DemocracyA distinctly democratic impulse motivates the Projet concernant de nouveaux signes pour la musique for Rousseau's revision of the musical notation system is designed to increase accessibility to music. With characteristic rhetoric Rousseau introduces his project for "simplifying" musical notation with a short, to-the-point paragraph: "This project tends to make music easier to write down, easier to learn and much less diffuse."2 Following this statement of purpose, Rousseau relates, in a contrasting rhetorical style—replete with specialized vocabulary—the current state of affairs in musical notation:This quantity of lines, keys, transpositions, of sharps, flats, naturals, of simple and complex measures, of whole-notes, half-notes, quarter-notes, eighth-notes, sixteenth-notes, thirty-second notes, of rests, half-rests, quarter-rests, eighth-rests, sixteenth-rests, etc. gives a quantity of signs and combinations from which result two principle inconveniences: the first, to occupy too great a volume, and the second to overload the memory of schoolchildren in such a way that the ear being formed and the organs having acquired all the necessary facility long before one is [End Page 434] capable of singing from a book, it follows that the difficulty is more in the observation of rules than in the execution of... (shrink)

ABSTRACT In this paper, we show that Kant’s complex concept of an “intuitive understanding”, which operates in his work as a tool for defining the peculiar character of our understanding, is critically absorbed by Hegel’s concept of “objective thought.” By means of this concept, Hegel first rejects the representational conception of thought that is implied by the Kantian concept of an intuitive understanding and, second, he proposes a way of comprehending thought that allows a new conception (...) of the relationship between the subject and reality. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:On Dante, Hyperspheres, and the Curvature of the Medieval CosmosWilliam EggintonIn the course of his lectures on medieval literature at Oxford University in the 1950s C. S. Lewis would ask students to walk alone at night, gaze at the star-filled sky, and try to imagine how it might look to a walker in the Middle Ages. It would not likely have occurred to him that some forty years later (...) several astrophysicists would ask that their readers perform the same activity, at least figuratively—not, however, with the intention of experiencing medieval conceptions of the cosmos but rather in order to begin to imagine the shape of our own. One of the astrophysicists in question is Stanford Professor Emeritus Robert Osserman, whose 1995 book The Poetry of the Universe is an attempt to acquaint lay readers with what the most recent research suggests is the shape of the universe by leading them through a brief history of the mathematical and technological developments that made such boundary-breaking thought possible. Paradoxically, when it comes to trying to imagine that all-encompassing form which is derived from a four-dimensional mathematical model called a hypersphere, he turns not to ultra-modern computer-generated images nor to dry but technically accurate exegeses of mathematical formulae but rather to the verses of a fourteenth-century Italian poet, Dante Alighieri. His claim is that in the third canticle of the Divine Comedy, which details his ascent through the heavens, Dante describes the cosmos with astonishing precision as a hypersphere, exactly as modern physics has determined it to be.If the cosmology of the present makes use of Dante heuristically, however, it never asks the most obvious question: Why? Why does one need to go back to the fourteenth century for a poetic description of how the universe appears to modern science? Osserman assumes it to be a mere coincidence, and why should he not? What possible access would a thinker—a poet even—of the European Middle Ages have to the highest achievements of almost six centuries of subsequent thought? In answering this question, I am not proposing to naively interpret the past in our own image, claiming Dante to be a mathematical genius [End Page 195] before his time. I am, however, suggesting that there is an excellent explanation for why one must look to the fourteenth century for models of expression adequate to the challenges posed by nineteenth and twentieth-century advances in mathematics: namely, that in the course of the Scientific Revolution, wherein were laid the epistemological foundations for the discoveries of modern science, certain possibilities of thought and imagination were discarded, forgotten, and certain abilities were, if only temporarily, lost. The Middle Ages has long been painted as a period whose culture was hostile to free thought and new knowledge; perhaps it is now time to recognize that it was also a time in which phenomena could sustain mutually exclusive and contradictory explanations, when the battle between faith and science had not yet been conclusively won by either side, and when the efforts to bridge the stories they told could produce conceptual edifices whose mere possibility would be unthinkable only 200 years later. This essay is about one such conceptual edifice and how openness to its perspective allowed a poet to put into words what could not be imagined by his descendants, and what eludes us even today.The Shape of the Modern UniverseImagine that you are a completely flat creature, living happily in your two-dimensional world.1 As observers we are outside this world, and we can see you milling about with your flat friends, blissfully unaware of the uncharted regions one dimension away on either side of you. Now imagine that this plane is not flat—in the sense of rectilineal—as you might have created it in your mind, but rather is curved; in fact it is a sphere. Assuming that this sphere is large enough, there is no reason that you, an inhabitant of this surface, should be aware of its curvature. Even we, the three-dimensional observers, if close enough to the surface, would not recognize its curvature. One could conjecture, however... (shrink)

Vilém Flusser was one of the most fascinating and original European thinkers of the late twentieth century. In this collection of his essays on emigration, nationalism, and information theory, he raises questions about the viability of ideas of national identity in a world whose borders are becoming increasingly arbitrary and permeable. Flusser argues that modern societies are in flux, with traditional linear and textual epistemologies being challenged by global circulatory networks and a growth in visual stimulation. Beyond (...) globalization, Flusser's ideas about communication and identity are rooted in the Judeo-Christian concept of self-determination and self-realization through recognition of the other. (shrink)

In a recent article, I have explored the historical, mathematical, and philosophical issues related to the new theory of numerosities. The theory of numerosities provides a context in which to assign numerosities to infinite sets of natural numbers in such a way as to preserve the part-whole principle, namely if a set A is properly included in B then the numerosity of A is strictly less than the numerosity of B. Numerosities assignments differ from the standard assignment of size provided (...) by Cantor’s cardinality assignments. In this talk, I generalize some specific worries emerging from the theory of numerosities to a line of thought resulting in what I call a ‘good company’ objection to Hume’s Principle (HP). The talk has four main parts. The first takes a historical look at 19th-century attributions of equality of numbers in terms of one-one correlations and argues that there was no agreement as to how to extend such determinations to infinite sets of objects. This leads to the second part where I show that there are countably infinite many abstraction principles that are ‘good’, in the sense that they share the same virtues of HP and from which we can derive the axioms of second order arithmetic. The third part connects this material to a debate on Finite Hume Principle between Heck and MacBride and states the ‘good company’ objection. Finally, the last part gives a tentative taxonomy of possible neo-logicist responses to the ‘good company’ objection and makes a foray into the relevance of this material for the issue of cross-sortal identifications for abstractions. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:THE CONCEPT OF POVERTY IN ST. THOMAS AQUINAS'S CONTRA IMPUGNANTES DE/ CULTUM ET RELIGIONEM JOHN D. ]ONES Marquette University Milwaukee, Wisconsin MEDIEVAL CONCEPTIONS of poverty have been given ongoing and serious attention by scholars during this century. The extensive literature on the nature and practice of poverty among the Franciscans bears witness to this. Serious investigation of St. Thomas Aquinas's understanding of poverty, however, is virtually nonexistent. Except (...) for a very recent book by Ulrich Horst,' there are, so far as I know, no monographs or dissertations treating this aspect of Aquinas's thought. The most thorough discussion in English, which falls far short of sustained textual or critical analysis, is given by Philip Mulhern.2 Apart from an article by Silvana Spirito, which primarily focuses on historical issues, one finds only scattered references and notes in other works.3 1 Ulrich Horst, Evangelische Annut und Kirche: Thomas van Aquin und die Annutskontroversen des 13. und beginnenden 14. Jahrhunderts (Berlin: Akademie Verlag, 1992). This work was published after the present article was completed. : Philip Mulhern, Dedicated Poverty (Staten Island: Alba House, 1973), 116-31. "II problema della poverta e deIla perfezione religiosa nell'ambito delie polemiche tra clero secolare e ordini mendicanti," Atti Del Congresso Internazionale, ed. Congresso internazionale Tommaso d'Aquino (Napoli: Edizioni domenicane italiane, 1974), 49-57. Worthy of mention is Scott Swenson's concise, but detailed, note on poverty in the Contra impugnantes (Emerging Concepts of Jurisdiction, Sacramental Orders and Property Rights Among Dominican Thinkers From Thomas Aquinas to Hervaeus Natalis [Ph.D. Diss., Cornell University, 1988], 265, n.159). For a brief discussion of poverty in 409 410 JOHN D. JONES The absence of scholarship in this area stands in marked contrast to the lavish philosophical and theological attention given to many other aspects of Aquinas's thought. If Thomas gave only a cursory nod to the subject of poverty, this absence might be understandable. Over the course of his career, however, Thomas composed several extended discussions and numerous shorter notes pertaining to poverty, concentrating particularly on the nature and practice of poverty in religious life. In addition to the Contra impugnantes Dei cultum et religionem, a relatively early work devoted to a defense of the mendicant orders and mendicant poverty, there are extended discussions of poverty in the Contra pestiferam doctrinam retrahentium homines a religionis ingressu, cc. 14-16, the Summa contra gentiles, bk. III, c.131-35, and the Summa theologiae (51), II-II, q. 184, a. 7, q. 186, aa. 3&6, q. 188, a. 7, etc. There are also brief discussions and references to poverty (paupertas) and the poor (pauper) in nearly thirty other works ranging from the In Sententiarum to various Scripture commentaries.4 My purpose in this paper is to present a close, but by no means comprehensive, textual and critical analysis of Thomas's treatment of poverty in the Contra impugnantes, concentrating on the crucial sixth chapter.5 I am interested in Thomas's conception of Summa theologiae, 11-11, q. 188, a. 7, see John D. Jones, Poverty and the Human Condition (New York: Edwin Mellen Press, 1990), 317-320. Also see Jones, "Poverty and Subsistence: St. Thomas and the Definition of Poverty," Gregorianum 75 (1994): 135-49. 4 The Contra impugnantes dei cultum et religionem and Contra pestiferam doctrinam retrahentes homines a religionis ingressu are contained in the Leonine Opera Omnia, vol. XLI (Rome: St. Thomas Aquinas Foundation, 1970) and in Opuscula theologica, vol. 2, ed. RM. Spiazzi (Turin: Marietti, 1954). An English translation of both works is contained in An Apologyfor the Religious Orders, ed. John Procter (London: Sands and Co., 1902), 50-376 and 377-479 respectively. I am using the Blackfrairs edition of the Summa theologiae (New York: McGraw-Hill, 1964-81). By and large, I have followed existing translations of Thomas's works, although for the sake of accuracy, I have occasionally modified them, especially Proctor's translations of the Contra impugnantes and Contra retrahentes. 5 The discussion of poverty is contained chiefly in chapter 6 (cited in the Marietti edition as 2.5[6]). All citations in my paper will be to this chapter unless otherwise noted. Following typical form, the chapter contains... (shrink)

This volume comprises one of the key lecture courses leading up to the publication in 1966 of Adorno's major work, Negative Dialectics. These lectures focus on developing the concepts critical to the introductory section of that book. They show Adorno as an embattled philosopher defining his own methodology among the prevailing trends of the time. As a critical theorist, he repudiated the worn-out Marxist stereotypes still dominant in the Soviet bloc – he specifically addresses his remarks to students who had (...) escaped from the East in the period leading up to the building of the Berlin Wall in 1961. Influenced as he was by the empirical schools of thought he had encountered in the United States, he nevertheless continued to resist what he saw as their surrender to scientific and mathematical abstraction. However, their influence was potent enough to prevent him from reverting to the traditional idealisms still prevalent in Germany, or to their latest manifestations in the shape of the new ontology of Heidegger and his disciples. Instead, he attempts to define, perhaps more simply and fully than in the final published version, a ‘negative', i.e. critical, approach to philosophy. Permeating the whole book is Adorno’s sense of the overwhelming power of totalizing, dominating systems in the post-Auschwitz world. Intellectual negativity, therefore, commits him to the stubborn defence of individuals – both facts and people – who stubbornly refuse to become integrated into ‘the administered world’. These lectures reveal Adorno to be a lively and engaging lecturer. He makes serious demands on his listeners but always manages to enliven his arguments with observations on philosophers and writers such as Proust and Brecht and comments on current events. Heavy intellectual artillery is combined with a concern for his students’ progress. (shrink)

Media philosopher Vilém Flusser proposed a revolutionary new way of thinking about photography.

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:The Logic Pamphlets of Charles Lutwidge Dodgson and Related PiecesIrving H. AnellisFrancine F. Abeles, editor. The Logic Pamphlets of Charles Lutwidge Dodgson and Related Pieces. The Pamphlets of Lewis Carroll, 4. New York-Charlottesville-London: Lewis Carroll Society of North America-University Press of Virginia, 2010. Pp. xx + 271. Cloth, $75.00.Until William Bartley’s rediscovery and reconstruction of Dodgson’s lost Part II of Symbolic Logic, Lewis Carroll’s reputation in logic, when (...) taken seriously, rested upon his few published articles on logical paradoxes and puzzles, while his published books, The Game of Logic and Symbolic Logic, were regarded as suitable perhaps as pedagogical tools, but dismissed otherwise as amusements, on a par with the Alice works. Richard Braithwaite asserted (“Lewis Carroll as Logician”) that “Carroll regarded formal and symbolic logic not as a corpus of systematic knowledge about valid thought nor yet as an art for teaching a person to think correctly.” He suggested that Dodgson used his pseudonym for his popular and whimsical writings, reserving his legal name only for his serious mathematical products. Philosophers practicing linguistic analysis in their assault on nonsense deriving from misuse of language meanwhile developed an interest in Carroll (e.g. George Pitcher, “Wittgenstein, Nonsense, and Lewis Carroll”). Abeles, on the contrary, stresses the seriousness of Dodgson’s pedagogical and popularizing mission (195–99).Bartley’s discovery opened the door for reevaluating Dodgson as a serious logician, and Abeles has been in the forefront of that reevaluation. Her general introduction and introductions to the main divisions of this collection of Carroll’s publications (and additional material from his Nachlass and a handful of publications of others, composed in response to Carroll’s published articles) place his serious logical work and its significance in historical perspective, providing a deeper, more sophisticated view than found in Bartley’s “Editor’s Introduction” to Lewis Carroll’s Symbolic Logic. Abeles also offers brief introductions to the individual entries, which describe their physical characteristics and circumstances of composition.Dodgson aligned with the majority of those British logicians of his day, starting with George Boole, who understood formal logic to be Aristotelian syllogistic, and symbolic logic to be syllogistic logic expressed algebraically. His notational innovation was employing indices to terms so that, independently of the arrangement of terms, propositions could easily be read; thus, “xy0” can be read as “no x are y” or “no y are x” and “x1y0” as “all x are not y” or “no x are y”. In dealing with the classical elimination problem in the class calculus—to determine the maximum information, without duplications, obtainable from a given set of premises—Dodgson in his later work and unpublished letters anticipated several concepts of automated theorem proving.Central to both geometry and to formal logic are the rules of logical inference that establish the validity of arguments and guarantee that conclusions inferred from true [End Page 506] premises are true. The modern analytic tableaux, or tree method, is a fundamental tool in this regard, both for deriving theorems and for determining the validity or invalidity of the proofs for propositional calculus and first-order predicate calculus.Introducing his reconstruction of Part II of Symbolic Logic, Bartley noted that, along with the logic diagrams that Carroll devised, he also devised a tableau method that strongly resembled Beth’s semantic tableaux. Abeles went more deeply and convincingly into that resemblance in her earlier research. Beth’s tableaux, together with Hintikka’s model sets, were the direct ancestors of Smullyan’s analytic tableaux, which in turn are the theoretical basis for the Robinson resolution method that continues to be central to much work in programming logic.Abeles has also shown that the work in Studies in Logic by Charles Peirce and his logic students at Johns Hopkins University served as a source of inspiration for Dodgson. More critically, she demonstrated that Dodgson devised and employed the tree method for carrying out proofs of syllogisms and chains of syllogisms, or soriteses, in Part II of Symbolic Logic (see her “Lewis Carroll’s Method of Trees: Its Origins in Studies in Logic,” Modern Logic 1 [1990]: 25–34). The tree... (shrink)

In recent years, language has been shown to play a number of important cognitive roles over and above the communication of thoughts. One hypothesis gaining support is that language facilitates thought about abstract categories, such as democracy or prediction. To test this proposal, a novel set of semantic memory task trials, designed for assessing abstract thought non-linguistically, were normed for levels of abstractness. The trials were rated as more or less abstract to the degree that answering them required the participant (...) to abstract away from both perceptual features and common setting associations corresponding to the target image. The normed materials were then used with a population of people with aphasia to assess the relationship of abstract thought to language. While the language-impaired group with aphasia showed lower overall accuracy and longer response times than controls in general, of special note is that their response times were significantly longer as a function of a trial’s degree of abstractness. Further, the aphasia group’s response times in reporting their degree of confidence (a separate, metacognitive measure) were negatively correlated with their language production abilities, with lower language scores predicting longer metacognitive response times. These results provide some support for the hypothesis that language is an important aid to abstract thought and to metacognition about abstract thought. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:702 JOURNAL OF THE HISTORY OF PHILOSOPHY 33:4 OCTOBER t99 5 appears more as an anomalous figure in the spirit of Kierkegaard than a thinker of the mainstream. For Jaspers, philosophy is a vehicle to provoke a spiritual sense of the wonder of existence rather than an autonomous vocation which strives to recast its questions in increasingly radical ways. Most typically, Jaspers's emphasis on darker aspects of the human (...) predicament--guilt, anxiety, and death as the seminal existential motifs--does not exclude a more positive vision of Existenz as revealed through transcendence. The limits do not provoke a discourse of radical finitude which skirts the edges of presence, but instead indirectly point toward a transcendent mystery, or the "encompassing" (19-2o). If there is an aspect of Jaspers's philosophy that remains inadequately addressed in either volume, it is his preoccupation with the role of tragedy in the post-war era? In light of the premier importance that Hegel, Nietzsche, and Heidegger all grant to tragedy, Jaspers's passionate treatment of this topic in the context of the catastrophe of Western Europe merits far closer attention. Does not the issue of tragedy provide indispensable dues to chart the landscape of twentieth-century thought, and to amplify the differences which prevail in the portrait of politics as displayed by such diverse philosophers as Jaspers and Heidegger, Derrida and Levinas? FRANK SCHALOW DiUard University Norman Malcolm. Wittgenstein: A Religious Point of View? Edited with a response by Peter Winch. Ithaca, New York: Cornell University Press, a994. Pp. xi + 14o. Norman Malcolm at the outset of this, his posthumously published last book, focuses on the question: What did Wittgenstein mean when he said to his friend M. O'C. Drury, "I am not a religious man, but I cannot help seeing every problem from a religious point of view"? It was the right question. But Malcolm then--again on the first page of his book-proceeded to place restrictions on it, which were quite foreign to the spirit of Wittgenstein 's remark and which virtually crippled it. (1) He took Wittgenstein to be speaking of not social, psychological, or presumably even personal problems, but only of philosophical ones. (2) He chose to say that in Wittgenstein's later philosophy "there is not strictly a religious point of view, but something analogous to a religious point of view" (1, Malcolm's emphases). There is no reason to think that Wittgenstein would have accepted either of these restrictions on his remark. Nor does Peter Winch accept them in his forty-page discussion, which follows Malcolm's text in this book. In the upshot Malcolm finds "four analogies between Wittgenstein's conception of the grammar of language and his view of what is paramount in a religious life" (92). In both, he says, Wittgenstein emphasizes "an end to explanation," a sense of an "illness" pervading the human situation, "an inclination to be amazed at the existence of some ' Karl Jaspers, TragedyIs Not Enough, trans. Harald A. T. Reiche, Harry T. Moore, and Karl W. Deutsch (Boston: Beacon Press, 1952), 31-4O,93- io5_ BOOK REVIEWS 703 thing," and "doing, acting [having.] priority over intellectual understanding and reasoning " (92). But are such "analogies" really the crux of the "religious point of view" in terms of which Wittgenstein said that he could "not help seeing every problem"? When we recall that Wittgenstein's later philosophy was a proibund attack upon what he regarded as the idolatry of science, logic, and mathematics (an idolatry of which he himself, in the Tractatt~,, was partly guilty), and that he was also bent on undermining the accompanying subjectivized and privatized view of the human mind, as well as the scientistic reading of religious beliefs and primitive religions, we may be inclined to see his philosophy as clearing the way for the simple noninstitutionalized Tolstoian faith which he himself accepted. Philosophy and religion were on the same track in his mind (and not merely related by "analogies") when he wrote: "All that philosophy can do is to destroy idols. And that means not creating a new one--for instance, as in the 'absence of an idol' " (MS 213, 89). Peter Winch... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:February 19, 2011 (11:48 am) E:\CPBR\RUSSJOUR\TYPE3002\russell 30,2 040 red.wpd Reviews 161 7 In, respectively, PaciWsm in Britain and Semi-Detached Idealists: the British Peace Movement and International Relations (Oxford: Oxford U. P., 2000). 8 See Monk 2: Chap. 13. FUNCTIONS OR PROPOSITIONAL FUNCTIONS? Alexander Paul Bozzo Philosophy / Marquette U. Milwaukee, wi 53233, usa alexander.bozzo@marquette.edu Michael Potter and Tom Ricketts, eds. The Cambridge Companion to Frege. Cambridge, uk: Cambridge U. (...) P., 2010. Pp. vii, 630. isbn 978-0-521-62479-4 (pb). £57.00; £21.99 (pb). us$38.99 (pb). February 19, 2011 (11:48 am) E:\CPBR\RUSSJOUR\TYPE3002\russell 30,2 040 red.wpd 162 Reviews 1 Frege: Philosophy of Mathematics (Cambridge, ma: Harvard U. P., 1991), p. 111. The paragraph contains an expression of Frege’s Context Principle and the need for Hume’s Principle as a criterion of identity in the deWnition of number. 2 There are in fact Wve stated goals. The others are: (iii) to serve as a reference work for students and non-specialists, (iv) to provide a route into the study of Frege historically and to any relevant contemporary concerns in the philosophies of logic, language, mathematics, and mind, and (v) to provide, for new readers, the most convenient detailed guide to Frege currently available. Gottlob Frege is widely recognized as one of the chief progenitors of mathematical logic and philosophy of languagez—zindeed, the importance attributed to Frege’s innovations is such that Michael Dummett, when reXecting on§62 of Frege’s Die Grundlagen der Arithmetik, feels compelled to remark that the paragraph therein is “arguably the most pregnant philosophical paragraph ever written.”1 Whether or not one agrees with Dummett on this point, the magnitude of Frege’s inXuence on the current philosophical landscape is incontestable. Frege revolutionized the then dominant Aristotelian conception of logic, introducing a formal language now recognized as the predicate calculus. Central to this end were Frege’s insights on quantiWcation, the notation that expressed it, the logicist project, and the extension of mathematical notions like function and argument to natural language. The long-awaited Cambridge Companion to Frege is a compendium of Fregean scholarship that rigorously explores these and similar topics; editors Thomas Ricketts and Michael Potter have compiled a comprehensive collection of fourteen essays that individually provide focused appraisals of a number of Frege’s most substantial insights. On the advice of this journal’s editor, I have limited my review to the connections (or rather dissimilarities ) that exist between Frege and Russell, relying exclusively on Peter Hylton ’s contribution to the collection, “Frege and Russell”. Following a brief consideration of the volume as a whole, I move immediately into a detailed explication of Hylton’s analysis. The volume includes among its goals the following two aims: (i) to provide, for advanced students and specialists, a conspectus of recent interpretation of Frege, and (ii) to dispel the intimidation felt by readers who confront a diUcult thinker.2 I single out these ambitions because they most clearly represent the volume’s strengths and shortcomings. Enthusiasts of Frege will not be disappointed by the multitude of rigorously and technically written essays, essays that contribute substantially and originally to the collective understanding of Frege and his work. For instance, Thomas Ricketts provides a thoughtful and thorough analysis—an analysis that moves well beyond mere explication—of Frege’s concept/object distinction, in particular its relevance for Frege’s Context Principle and logicism more generally. Similarly, Richard Heck addresses a number of central yet largely unexplored issues pertaining to the overall signiWcance of February 19, 2011 (11:48 am) E:\CPBR\RUSSJOUR\TYPE3002\russell 30,2 040 red.wpd Reviews 163 3 I strongly encourage that non-specialists augment The Cambridge Companion to Frege with Joan Weiner’s Frege Explained: from Arithmetic to Analytic Philosophy (Chicago : Open Court, 2004), one of the best available introductory texts on Frege. 4 The essay in fact was available as early as 2005 in Hylton’s Propositions, Functions, and Analysis: Selected Essays on Russell’s Philosophy (New York, ny: Oxford U. P., 2005). The editors of The Cambridge Companion to Frege partially... (shrink)

Ever since the early decades of this century, there have emerged a number of competing schools of ecology that have attempted to weave the concepts underlying natural resource management and natural-historical traditions into a formal theoretical framework. It was widely believed that the discovery of the fundamental mechanisms underlying ecological phenomena would allow ecologists to articulate mathematically rigorous statements whose validity was not predicated on contingent factors. The formulation of such statements would elevate ecology to the standing of a rigorous (...) scientific discipline on a par with physics. However, there was no agreement as to the fundamental units of ecology. Systems ecologists sought to identify the fundamental organization that tied the physical and biological components of ecosystems into an irreducible unit: the ecosystem was their fundamental unit. Population ecologists sought, instead, to identify the biological mechanisms regulating the abundance and distribution of plant and animal species: to these ecologists, the individual organism was the fundamental unit of ecology, and the physical environment was nothing more than a stage upon which the play of individuals in perennial competition took place. As Joel Hagen has pointed out, the two schools were thus dividied by fundamentally different and irreconcilable assumptions about the nature of ecosystems.Notwithstanding these divisive efforts to elevate the image of ecology, the discipline remained in the shadows of American academia until the mid-1960s, when systems ecologists succeeded in projecting ecology onto the national scene. They did so by seeking closer involvement with practical problems: they argued before Congress that their approach to the theoretical problems of ecology was uniquely suited to the solution of the impending “environmental crisis.” With the establishment of the International Biological Program, they succeeded in attracting unprecedented levels of funding for systems ecology research. Theoretical population ecologists, on the other hand, found themselves consigned to the outer regions of this new institutional landscape. The systems ecologists' successful capture of the limelight and the purse brought the divisions between them and population ecologists into sharper relief — hence the hardening of the division of ecology observed by Hagen.45I have argued that the population biologist Richard Levins, prompted by these institutional developments, sought to challenge the social position of systems ecology, and to assert the intellectual priority of theoretical population ecology. He attempted to do so by articulating a nontrivial and rather carefully thought out classification of ecological models that led to the disqualification of systems analysis as a legitimate approach to the study of ecological phenomena. I have suggested that — ultimately —Levins's case against systems analysis in ecology rested on the view that an aspiration to realism and prediction was incompatible with an interest in theoretical issues, a concern that he equated with the search for generality. He sought to reinforce this argument by exploiting the fact that systems ecologists had staked their future on the provision of technical solutions to the problems of the “environmental crisis”: he associated systems ecologists' aspiration to realism and precision with a concern for practical issues, trading on the widely accepted view that practical imperatives are incompatible with the aims of scientific inquiry.46 These are plausible, but nonetheless questionable, claims which have now become an integral part of ecological knowledge. And finally, I hope to have shown how even the most abstract levels of scientific argument are shaped by political considerations, and how discussions of the conceptual development of modern ecology might benefit from a greater consideration of its historical and social dimensions.47. (shrink)

ABSTRACTBritish Idealism was the philosophical school which dominated during the last quarter of the nineteenth century. Using the ideas of Bernard Bosanquet, John Caird and Andrew Seth Pringle-Pattison as an illustration, this paper looks at some of the ways in which the British Idealists sought to develop new and more subtle conceptions of the transcendent, able to resist the corrosive effects of late nineteenth-century critical and naturalistic thinking. The paper concludes by looking at three fields – philosophy, theology and literature (...) – in which it is possible to discern the ongoing influence into the first half of the twentieth century of their efforts. (shrink)

This book constitutes the first treatment of C. S. Peirce’s unique concept of habit. Habit animated the pragmatists of the 19th and early 20th centuries, who picked up the baton from classical scholars, principally Aristotle. Most prominent among the pragmatists thereafter is Charles Sanders Peirce. In our vernacular, habit connotes a pattern of conduct. Nonetheless, Peirce’s concept transcends application to mere regularity or to human conduct; it extends into natural and social phenomena, making cohesive inner and outer worlds. (...) Chapters in this anthology define and amplify Peircean habit; as such, they highlight the dialectic between doubt and belief. Doubt destabilizes habit, leaving open the possibility for new beliefs in the form of habit-change; and without habit-change, the regularity would fall short of habit – conforming to automatic/mechanistic systems. This treatment of habit showcases how, through human agency, innovative regularities of behavior and thought advance the process of making the unconscious conscious. The latter materializes when affordances form the basis for modifications in action schemas and modes of reasoning. Further, the book charts how indexical signs in language and action are pivotal in establishing attentional patterns; and how these habits accommodate novel orientations within event templates. It is intended for those interested in Peirce’s metaphysic or semiotic, including both senior scholars and students of philosophy and religion, psychology, sociology and anthropology, as well as mathematics, and the natural sciences. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Journal of the History of Philosophy 39.3 (2001) 454-456 [Access article in PDF] Michael Potter. Reason's Nearest Kin: Philosophies of Arithmetic from Kant to Carnap.New York: Oxford University Press, 2000. Pp. x + 305. Cloth, $45.00. This book tells the story of a remarkable series of answers to two related questions:(1) How can arithmetic be necessary and knowable a priori? [End Page 454](2) What accounts for the applicability of (...) arithmetic to matters of empirical fact?These are philosophical questions, part of a "wider puzzle of explaining the link between experience, language, thought, and the world" (18). But answers to them are heavily constrained by technical results in logic and mathematics, and most of Potter's protagonists are either mathematicians (Frege, Dedekind, Ramsey, Hilbert, Gödel) or mathematically trained philosophers (Kant, Russell, Carnap). (Only Wittgenstein fits neither category.) Potter, whose doctorate was in pure mathematics, is an able guide.It is not hard to think of answers to these questions taken singly; what is hard is answering both at the same time. Formalists can easily explain why arithmetic does not depend for its justification on empirical fact—it is just a game with symbols, not responsible to anything beyond its own rules—but they then have trouble explaining why the world of empirical fact is constrained by this game. Empiricists can explain the applicability of arithmetic in just the same way they explain the applicability of physics, but they then must then explain away the apparent a prioricity and necessity of arithmetic. Kant was the first to propose a plausible answer to both questions: arithmetic is both necessary and empirically applicable because it is grounded in the spatio-temporal form of any possible experience.What unites Frege, Dedekind, Russell, Ramsey, Hilbert, and Carnap is that they reject Kant's answer while continuing to seek an answer to his question: how can arithmetic's necessity be reconciled with its applicability? Potter helpfully classifies their projects by the surrogates they substitute for Kant's appeal to the form of spatio-temporal intuition: Frege and Dedekind appeal to thought, Russell to necessary features of the world, Wittgenstein, Ramsey, and Carnap to language, and Hilbert to the necessary structure of our experience of finitary combinations of objects. (Revealingly, the logicists are not grouped together in Potter's taxonomy.) A chapter (or two) is devoted to each of these thinkers, plus Kant and Gödel.This breadth of coverage does not come at the price of superficiality: Potter's chapters are (by and large) accurate, penetrating, and full of interesting insights. I cannot think of another book that offers such clear explanations of the many mathematical concepts and distinctions one must grasp in order to follow debates in the philosophy of arithmetic. The Russell chapters are enhanced by numerous quotations from archival material. The exposition of Hilbert's programme and the implications for it of Gödel's theorems is the best I have seen. The discussions of Wittgenstein's views on arithmetic and of Carnap's syntactical approach also shine. The chapters on Kant and Frege are somewhat weaker; the discussion of Kant, in particular, would have benefited from some engagement with Michael Friedman's views.But the real contribution of Potter's book is its integration of these nine thinkers into a single coherent story. No one will be surprised that Russell's motivations can only be understood in light of Frege's failures, or that many features of Wittgenstein's cryptic work become clearer when seen in light of the specific problems with Russell's system. But there are also some less obvious payoffs: for example, Hilbert's programme is usefully compared with Russell's regressive method (227-8), and Carnap and Russell are shown to face a common dilemma (269, 286).If there is a central theme to Potter's story, it is "how often we have had to reject an [End Page 455] account not for philosophical reasons but for technical ones" (278). Frege's program founders on Russell's paradox, Russell's... (shrink)

This admittedly sympathetic exposition of Maine de Biran's psychology represents a competent and comprehensive introduction into the main philosophical thought of the French thinker and into the conditions and value of his published and unpublished writings as well as of the literature dealing with his life and work. It is inspired by the conviction that there is a need for this new addition to the vast bibliography of the philosopher, not only because Biran is almost without readers in the English (...) philosophical tradition, but especially because his philosophizing centers around matters of current concern in English philosophy. The philosophical psychology which Biran considered, and hoped to develop, as the foundation not only of moral and religious philosophy, but also of empirical psychology, was above all a philosophical analysis of psychological concepts, as the author shows in his discussion of Biran's ideas about the method and the original concept of psychology in the two main parts of his text. In a critical account of Biran's argumentation, seen against the background of the philosophical problematics of today, his refutation of the mathematical analysis of traditional philosophy, of the inductive reasoning of the natural sciences, and of metaphysical or abstractive reasoning together with his defense of reflective consciousness as the appropriate method of psychological studies, are explained. The unique object of psychology, the private inner life, demands reflection as its corresponding method. An analysis of the data of consciousness is, then, to lead to the recognition of the true primitive fact of all inner experience which is to serve as the foundation of psychology. Biran finds it in the will, the awareness of our effort or willed action. The nature of this foundation of psychology and of the "twofold humanity" in man's being, i.e., of affective, passive life and of active, conscious life, indicates that Biran's philosophical psychology truly is a philosophy of mind, not a philosophy of man. The book ends with a classified select bibliography of 44 pages, various Appendixes and Indexes. It should be required reading for any student interested in Maine de Biran's philosophy.--M. S. (shrink)

This is a translation of Jacob Klein's study "Die Griechische Logistik und die Entstehung der Algebra" which appeared in 1934-1936. His principal thesis is that the Renaissance mathematicians of the sixteenth century did not simply continue the work of the Greek and Arab mathematicians but in the process of developing ancient mathematics introduced a radically new conception of number which has since guided modern mathematical thought. The central figure in this revolution is Vieta. Klein traces the influence of Vieta's ideas (...) upon Stevin, Descartes, Wallis, and other figures of the scientific revolution, after discussing the conception of number and arithmetic in Plato, Aristotle, and other Greek sources. Persons reading this book with a primary interest in the philosophical ideas involved will be frustrated by the mass of historical detail which often obscures rather than illuminates the philosophical issues. But the book deserves its reputation as an important historical study.--R. H. K. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Journal of the History of Philosophy 39.3 (2001) 451-453 [Access article in PDF] Ernst Cassirer. The Logic of the Cultural Sciences: Five Studies. Translated by S. G. Lofts. New Haven: Yale University Press, 2000. Pp. xliii + 134. Cloth, $30.00. Paper, $15.00. This is a new translation of Cassirer's Zur Logik der Kulturwissenschaften: Fünf Studien. It replaces the earlier one by Clarence Smith Howe with the title The Logic (...) of the Humanities (Yale University Press, 1961) that has been out of print for many years. Howe's volume includes a translation of Cassirer's essay "Naturalistic and Humanistic Philosophies of Culture" which does not appear in the new volume.Considered as part of his system of symbolic forms, this volume is the counterpart to Cassirer's conception of mathematical and scientific thought of the third volume of the Philosophy of Symbolic Forms. The pivotal study in Cassirer's five closely related analyses of the cultural sciences is that concerning "Naturbegriffe und Kulturbegriffe." [End Page 451] Cassirer contrasts the way in which concepts function in natural scientific thought with the way in which concepts function in cultural thought. In the natural sciences all of the individual "properties" of a thing can be reduced to numerical determinations. The particular can be subordinated to the universal. Thus gold as a specific metal is gold if and only if it exhibits specific numerically expressed properties, e.g., possesses a specific weight, electrical conductivity, coefficient of expansion, etc.Cultural concepts do not subordinate the particular to the universal in this determinate manner. Rather, they coordinate the particular with the universal. Thus it is possible to arrange the various figures of the Renaissance such as Leonardo da Vinci, Machiavelli, Michelangelo, and Cesare Borgia under Jakob Burckhardt's conception of "Man of the Renaissance," but each only approximates this standard. Although each is not given a determinate place in relation to the others, they all can be comprehended in a meaningful set of interrelationships.There is a problem of how to render Cassirer's key terms, Naturbegriffe and Kulturbegriffe. Howe expresses them literally as "nature-concepts" and "culture-concepts." Lofts states them as "concepts of nature" and "concepts of culture." Lofts's rendering has the difficulty of suggesting that Cassirer's discussion concerns a comparison or criticism of various concepts of nature and culture rather than a theory of concept-formation showing the type of thinking distinctive to the natural sciences in contrast to the cultural sciences.The last study in the volume concerns "The Tragedy of Culture" in which Cassirer criticizes Georg Simmel's conception of culture as alienation of the human spirit from itself. Against Simmel's negative view, Cassirer advances his view of culture as a positive achievement of the development of spirit (Geist) from life (Leben). Cassirer's position in this study forecasts his view as developed later in An Essay on Man (1944) that human culture as it arises through its various symbolic forms of myth and religion, language, art, history, and science is a process of "progressive self-liberation." Culture for Cassirer is not alienation, but self-knowledge.Central to this last study is Cassirer's discussion of how the "I" does not originally exist in a fixed state of separation between "I" and "world" and between "I" and other human beings. The Ich, Cassirer says, develops itself in relation to the Du in the formation of culture. The difference between the two is not simply given. Lofts follows Howe in translating Ich and Du as "I" and "you" (Howe, 188-90; Lofts, 107-8). Cassirer's use of the second person familiar (Du) is intended to emphasize the "I-thou" relationship, the sense in which the other in this development of the self is originally an alter ego, not an impersonal other (Sie). Cassirer's discussion here echoes his discussion of the "thou" in the chapter on the "Phenomenon of Expression" (Ausdrucksphänomen) in the third volume of the Philosophy of Symbolic Forms. The translation of Du as "you" rather than "thou" which reflects the... (shrink)

Lines of Thought addresses how we are able to think about abstract possibilities: How can we think about math, despite the immateriality of numbers, sets, and other mathematical entities? How are we able to think about what might have happened if history had taken a different turn? Questions like these turn up in nearly every part of cognitive science, and they are central to our human position of having only limited knowledge concerning what is or might be true.