This is a review of Alexandre Kojève, The Religious Metaphysics of Vladimir Solovyov, translated by Ilya Merlin and Mikhail Pozdniakov, Cham: Springer International Publishing, 2018. This slim book is a translation of Kojève’s essay “La métaphysique religieuse de Vladimir Soloviev,” which was first published in two installments in the Revue d’histoire et de philosophie religieuses in 1934. The French text was itself based on Kojève’s doctoral dissertation, Die religiöse Philosophie Wladimir Solowjews, defended in Heidelberg under the direction of Karl (...) Jaspers in 1926. The translation is accompanied by an introduction from the translators discussing translation issues. In this review, I summarize Kojève’s essay and editorialize on the issue of the principal influences on Solovyov’s metaphysics. Kojève claims that most of Solovyov’s metaphysics was in fact borrowed from Schelling and perhaps also to some extent from Jakob Böhme. If that is the case, then what is usually considered the prototypical Russian metaphysics is... not Russian. (shrink)

It is argued that Minkowski space-time cannot serve as the deep structure within a ``constructive'' version of the special theory of relativity, contrary to widespread opinion in the philosophical community.

This dictionary offers a balanced overview and helps readers understand and appreciate the Enlightenment Movement. Cross-referenced dictionary entries cover the significant persons, places, events, institutions, and literary works of the movement, and a chronological table charts the progression of the movement by indicating the date, the main figures involved, the political or society events, and the science, arts, or letters that resulted.

In this new book, David Harvey seeks to determine what is meant by the term in its different contexts and to identify how accurate and useful it is as a description of contemporary experience.

One hundred years after Luigi Russolo's "The Art of Noises," this book exposes a cross-section of the current motivations, activities, thoughts, and reflections of composers, performers, and artists who work with noise in all of its many forms. The book's focus is the practice of noise and its relationship to music, and in particular the role of noise as musical material--as form, as sound, as notation or interface, as a medium for listening, as provocation, as data. Its contributors are first (...) and foremost practitioners, which inevitably turns attention toward how and why noise is made and its potential role in listening and perceiving. Contributors include Peter Ablinger, Sebastian Berweck, Aaron Cassidy, Marko Ciciliani, Nick Collins, Aaron Einbond, Matthias Haenisch, Alec Hall, Martin Iddon, Bryan Jacobs, Phil Julian, Michael Maierhof, Joan Arnau Pàmies, and James Whitehead (JLIAT). The book also features a collection of short responses to a two-question "interview"--"what is noise (music) to you?" and "why do you make it?"--by some of the leading musicians working with noise today. Their work spans a wide range of artistic practice, including instrumental, vocal, and electronic music; improvisation; notated composition; theater; sound installation; DIY; and software development. Interview subjects include Eryck Abecassis, Franck Bedrossian, Antoine Chessex, Ryan Jordan, Alice Kemp (Germseed), George Lewis, Lasse Marhaug, Maja Solveig Kjelstrup Ratkje, Diemo Schwarz, Ben Thigpen, Kasper Toeplitz, and Pierre Alexandre Tremblay."--Page 4 of covers. (shrink)

The notion of interpretation is absolutely fundamental to mathematical logic and the foundations of mathematics. It is also crucial for the foundations and philosophy of science - although here some crucial conditions generally need to be imposed; e.g., “the interpretation leaves the mathematical concepts unchanged”.

It is argued that an unheralded moment marking the beginnings of relativity theory occurred in 1889, when G. F. FitzGerald, no doubt with the puzzling 1887 Michelson-Morley experiment fresh in mind, wrote to Heaviside about the possible effects of motion on inter-molecular forces in bodies. Emphasis is placed on the difference between FitzGerald's and Lorentz's independent justifications of the shape distortion effect involved. Finally, the importance of the their `constructive' approach to kinematics---stripped of any commitment to the physicality of the (...) ether--- will be defended, in the spirit of Pauli, Swann and Bell. (shrink)

One of the twentieth century’s most brilliant and unconventional thinkers, Alexandre Kojève was a Russian émigré to France whose lectures on Hegel in the 1930s galvanized a generation of French intellectuals. Although Kojève wrote a great deal, he published very little in his lifetime, and so the ongoing rediscovery of his work continues to present new challenges to philosophy and political theory. Written in 1931 but left unfinished, Atheism is an erudite and open-ended exploration of profound questions of estrangement, (...) death, suicide, and the infinite that demonstrates the range and the provocative power of Kojève’s thought. Ranging across Heidegger, Buddhism, Christianity, German idealism, Russian literature, and mathematics, Kojève advances a novel argument about freedom and authority. He investigates the possibility that there is not any vantage point or source of authority—including philosophy, science, or God—that is outside or beyond politics and the world as we experience it. The question becomes whether atheism—or theism—is even a meaningful position since both affirmation and denial of God’s existence imply a knowledge that seems clearly outside our capacities. Masterfully translated by Jeff Love, this book offers a striking new perspective on Kojève’s work and its implications for theism, atheism, politics, and freedom. (shrink)

We must begin from the principle that all language is necessarily limited. The art of speaking is a common heritage, even if it is wasted. It has so lost its mystery (more precisely; we are so calm in its possession) that we consider it almost as a gift of nature. Nevertheless, it must be learned; it is, in fact, a product of education, even for those who might believe that they have never received any. Like all acquired disciplines, then, it (...) is the fruit of a long process of restraint. Manuals exist which teach Latin without tears. Learning the first language seems to take place without recourse to handbooks and hickory sticks, but this is because a vast program is available, full time, along with dedicated teachers who do not keep an eye on the clock, and fresh intellects who never think their knowledge is sufficient. Instruction is difficult, in spite of all this, for the task is more challenging than adults imagine it to be. (shrink)

Thanks to the particularly penetrating analysis of André Martinet, we now know that the complementary existence of two levels of different articulation is one of the most remarkable specific characteristics of language. To the first level belong all facts concerning significant units, the meaning and inflection of words, syntactic groupings and the composition of a discourse; the second articulation is that of non-significant elements that we call phonemes. In other words, it is at the second level that we pronounce articulate (...) sounds, while to the first we owe the possibility of formulating groups with meaning. The first articulation could be visualized as the molecular and cellular level in which the simplest elements, having a very limited autonomy, are organized according to affinities having the force of law; the second articulation would thus represent the atomic level, that of elementary particles identified by their role in groups. (shrink)

There are two kinds of such limiting results that must be carefully distinguished. Results of the first kind state the nonexistence of any algorithm for determining whether any statement among a given set of statements is true or false.

The recent philosophy of Quantum Bayesianism, or QBism, represents an attempt to solve the traditional puzzles in the foundations of quantum theory by denying the objective reality of the quantum state. Einstein had hoped to remove the spectre of nonlocality in the theory by also assigning an epistemic status to the quantum state, but his version of this doctrine was recently proved to be inconsistent with the predictions of quantum mechanics. In this essay, I present plausibility arguments, old and new, (...) for the reality of the quantum state, and expose what I think are weaknesses in QBism as a philosophy of science. (shrink)

We can equivalently present this by the recursion equations f1(n) = 2n, fk+1(1) = fk(1), fk+1(n+1) = fk(fk+1(n)), where k,n ≥ 1. We define A(k,n) = fk(n).

This topic has been discussed earlier on the FOM email list in various guises. The common theme is: big numbers and long sequences associated with mathematical objects. See..

In their target article, Kammerer and Frankish (K&F) wonder what forms introspection could take in non-human animals, enhanced humans, artificial intelligences, and aliens. In this short note, I focus on disordered or neurodiverse minds. More specifically, I assess a claim that has often been made more or less implicitly to the effect that, in virtue of their conditions, people with schizophrenia or depersonalization disorder have superior introspective abilities that allow them to discern some important but normally hidden characteristics of our (...) experiences — call this the superintrospectionitis thesis. In the course of my argumentation, I introduce distinctions and questions concerning the nature of the architecture and the function of introspection that might enrich K&F's framework. (shrink)

We have been particularly interested in the demonstrable unremovability of machinery, which is a theme that can be pursued systematically starting at the most elementary level - the use of binary notation to represent integers; the use of rational numbers to solve linear equations; the use of real and complex numbers to solve polynomial equations; and the use of transcendental functions to solve differential equations.

Most paradoxes of self-reference have a dual or ‘hypodox’. The Liar paradox (Lr = ‘Lr is false’) has the Truth-Teller (Tt = ‘Tt is true’). Russell’s paradox, which involves the set of sets that are not self-membered, has a dual involving the set of sets which are self-membered, etc. It is widely believed that these duals are not paradoxical or at least not as paradoxical as the paradoxes of which they are duals. In this paper, I argue that some paradox’s (...) duals or hypodoxes are as paradoxical as the paradoxes of which they are duals, and that they raise neglected and interestingly different problems. I first focus on Richard’s paradox (arguably the simplest case of a paradoxical dual), showing both that its dual is as paradoxical as Richard’s paradox itself, and that the classical, Richard-Poincaré solution to the latter does not generalize to the former in any obvious way. I then argue that my argument applies mutatis mutandis to other paradoxes of self-reference as well, the dual of the Liar (the Truth-Teller) proving paradoxical. (shrink)

NOTE: This is an edited version of my lecture at LC ‘06. It differs from my earlier lecture at the Gödel Centenary in Vienna, April 29, 2006 most notably in section 5, where “Finite Graph Theory” is replaced by “Order Calculus”.

The use of x[y,z,w] rather than the more usual y Πx has many advantages for this work. One of them is that we have found a convenient way to eliminate any need for axiom schemes. All axioms considered are single sentences with clear meaning. (In one case only, the axiom is a conjunction of a manageable finite number of sentences).

One of the trademarks of Nicolai Hartmann’s ontology is his theory of levels of reality. Hartmann drew from many sources to develop his version of the theory. His essay “Die Anfänge des Schichtungsgedankens in der alten Philosophie” testifies of the fact that he drew from Plato, Aristotle, and Plotinus. But this text was written relatively late in Hartmann’s career, which suggests that his interest in the theories of levels of the ancients may have been retrospective. In “Nicolai Hartmann und seine (...) Zeitgenossen,” Martin Morgenstern puts the emphasis on contemporaries of Hartmann: Émile Boutroux, Max Scheler, Heinrich Rickert, Karl Jaspers, and Arnold Gehlen. But there is another plausible source for Hartmann’s conception of levels that has so far remained overlooked in the literature. Hartmann studied with and was influenced by Nikolai Lossky. Lossky has a theory of levels that he adopted from Vladimir Solovyov. Solovyov presents his theory of levels, among other places, in Oпpaвдaнie дoбpa, where he says that the five principal stages of the cosmogonic process of ascension toward universal perfection, which are given in experience, are the mineral or inorganic realm, the vegetal realm, the animal realm, the realm of natural humanity, and the realm of spiritual or divine humanity. This theory appears to bear significant similarities with the theory of levels of reality that Hartmann will develop a few decades later. Solovyov was widely read in Russia and it would be unlikely that Hartmann was not at least minimally acquainted with his work. Chances are that Hartmann came into contact with it in some details. An intellectual lineage could thus likely be traced from Hartmann back to Solovyov. In this paper, I document and discuss this possible lineage. (shrink)

Analysis of Emmy Noether's 1918 theorems provides an illuminating method for testing the consequences of coordinate generality, and for exploring what else must be added to this requirement in order to give general covariance its far-reaching physical significance. The discussion takes us through Noether's first and second theorems, and then a third related theorem due originally to F. Klein. Contact will also be made with the contributions of, principally, J.L. Anderson, A. Trautman, P.A.M. Dirac, R. Torretti and the father of (...) the whole business, A. Einstein. (shrink)

This chapter addresses the claim that, as new types of neurointervention get developed allowing us to enhance various aspects of our mental functioning, we should work to prevent the use of such interventions from ever becoming the “new normal,” that is, a practice expected—even if not directly required—by employers. The author’s response to that claim is that, unlike compulsion or most cases of direct coercion, indirect coercion to use such neurointerventions is, per se, no more problematic than the pressure people (...) all find themselves under to use modern technological devices like computers or mobile phones. Few people seem to believe that special protections should be introduced to protect contemporary Neo-Luddites from such pressures. That being said, the author acknowledges that separate factors, when present, can indeed render indirect coercion to enhance problematic. The factors in question include lack of safety, fostering adaptation to oppressive circumstances, and having negative side effects that go beyond health. Nonetheless, the chapter stresses that these factors do not seem to be necessary correlates of neuroenhancement. (shrink)

In 1995 the United States National Security Agency , the Central Intelligence Agency , and the Federal Bureau of Investigation made public the story of a forty-year American intelligence operation code-named Venona. Shortly after the Nazi-Soviet Pact in 1939, American military intelligence had ordered companies that were sending and receiving coded cables overseas, such as Western Union, to turn over copies to the U.S. government. Hundreds of thousands of cables were sent or received by Soviet government bodies. Beginning in 1943, (...) spurred by rumors and concerns that Stalin might conclude a separate peace with Hitler, the U.S. Army's cryptographic section began work trying to read these Russian cables. It had very limited success until 1946, by which time the Cold War was already underway. Some twenty-nine hundred cables dealing with Russian intelligence activities from 1942 to 1946 eventually were decrypted successfully in whole or in part as a result of Soviet technical errors in constructing and using “one-time pads” that American code-breakers were able to exploit. These cables implicated more than three hundred Americans as having been involved with Soviet intelligence services during World War II, a time when the United States and the USSR were allies. (shrink)

This article explores what it can mean to navigate notions of productive idiocy with aspects of mātauranga Māori (Māori knowledge), through some recent art-as-activism practices of the author, Aotearoa/New Zealand artist Mark Harvey. The works explicated include Waitākere Drag and Auau in the Te Wao Nui ā Tiriwa forest ranges and Productive Promises, which was part of TEZA (Trans Economic Zone of Aotearoa) in Ōtautahi/Christchurch. Avital Ronell’s Nietzschean-influenced perspectives on idiocy are drawn from in relation to Western and Māori (...) perspectives, along with Roger Sansi’s work on idiocy as dissent. From this aggregation of epistemologies, it is proposed that idiocy can be productive through art as activism and that this can align with Indigenous Māori perspectives on playing the fool as a form of resistance and refusal. Examples of Māori concepts engaged with here include perspectives on relationship building, human relationships with forests and the environment, and sovereignty under Te Tiriti o Waitangi (The Treaty of Waitangi). These art-activism projects promised micro-attempts at making positive changes for the communities in which they were situated through performatively generated actions from a Māori perspective within the shroud of ongoing colonization and capitalism. (shrink)

In 1995 we gave a new simple principle of combinatorial set theory and showed that it implies the existence of a nontrivial elementary embedding from a rank into itself, and follows from the existence of a nontrivial elementary embedding from V into M, where M contains the rank at the first fixed point above the critical point. We then gave a “diamondization” of this principle, and proved its relative consistency by means of a standard forcing argument.

In the nineteenth century, Nietzsche famously announced that God was dead. In the twentieth century, an increasing reliance on science and technology led to a widespread rejection of belief on the grounds of its irrationality. Yet for all the skepticism directed towards it, religion has not died. In fact, the opposite has occurred: it has persisted and proliferated. In this wide-ranging dialogue, two leading commentators on religion address - from their different but complementary traditions of Christianity and Buddhism - the (...) continuing appeal of spirituality to people eager to explore fundamental questions of meaning and identity. The authors indicate that science, for all the benefits it has conferred, has limits of explanation. It may be able to show how, but not necessarily why. --BOOK JACKET. (shrink)

Much discourse on school shootings tends to imply a binary separation between what is considered normal and exceptional, between an expected course of human events and sociohistorical aberrations. In this article Harvey Shapiro suggests the need for new directions in our responses: First, he shows how responses to school shootings tend to expropriate and dismiss certain kinds of violence in order to articulate a vision of the self as sovereign, exerting power over bodily life, exercising a self-removal from community (...) conversations, and thus claiming what Giorgio Agamben and others call the “sovereign exception.” Second, he suggests how Agamben's development of Walter Benjamin's concept of “divine violence” can unmask prevailing states of exception and can inform education's efforts to challenge binaries of good and evil, urban and suburban, individual and community, justice and law, normal and exceptional, that confound our deliberations and long-term responses to mass shootings. (shrink)

“Sentential reflection” in the sense of [Fr03] is based on reflecting down from a category of classes. “Elemental sentential reflection” is based on reflecting down from a category of elemental classes. We present various forms of elemental sentential reflection, which are shown to interpret and be interpretable in certain set theories with large cardinal axioms.

For over two decades, something akin to a scientific revolution in philosophy of science has been taking place. So, at any rate, claims Harold I. Brown, in his book Perception, Theory and Commitment: The New Philosophy of Science, in which he chronicles and defends the demise of logical empiricism and offers a new philosophy of science in its stead. The new philosophy of science, drawing on the work of Kuhn, Toulmin, Hanson, Lakatos, Polanyi, and others, but effectively structured, enhanced, and (...) defended by Brown, replaces logical empiricism's fundamental presuppositions of Principia logic and observation-based empiricism with a new approach which emphasizes the theory-ladenness of perception, the unavoidability of paradigmatic presuppositions, conceptual change and scientific revolutions, dialectic (as opposed to algorithmic) reasoning as the model of rational thinking in science, and a sharp rejection of the discovery/justification distinction. Brown develops a new epistemology of science to complement and underlie the new philosophy of science, including alternative conceptions of rationality, scientific knowledge, truth, objectivity, and relativism. Later in this essay I will attempt to recount, and bring to light some flaws in, both the new philosophy and the new epistemology of science Brown defends. First, however, it will be helpful to follow Brown's account of the nature and failings of the logical empiricist research program. (shrink)

An ideal in a commutative ring R with unit is a nonempty I Õ R such that for all x,y Œ I, z Œ R, we have x+y and xz Œ I. A set of generators for I is a subset of I such that I is the least ideal containing that subset.

We present some formal systems in the language of linearly ordered rings with finite sets whose nonlogical axioms are strictly mathematical, which correspond to polynomially bounded arithmetic. With an additional strictly mathematical axiom, the systems correspond to exponentially bounded arithmetic.

The kind of unknowability I will discuss concerns the count of certain natural finite sets of objects. Even the situation with regard to our present strong formal systems is rather unclear. One can just profitably focus on that, putting aside issues of general unknowability.

We present two forms of “sentential reflection”, which are shown to be mutually interpretable with Z2 and ZFC, respectively.

The Borel reducibility theory of Polish equivalence relations, at least in its present form, was initiated independently in [FS89] and [HKL90]. There is now an extensive literature on this topic, including fundamental work on the Glimm-Effros dichotomy in [HKL90], on countable Borel equivalence relations in [DJK94], and on Polish group actions in [BK96].

Gödel's legacy is still very much in evidence. We will not attempt to properly discuss the full impact of his work and all of the ongoing important research programs that it suggests. This would require a book length manuscript. Indeed, there are several books discussing the Gödel legacy from many points of view, including, for example, (Wang 1987, 1996), (Dawson 2005), and the historically comprehensive five volume set (Gödel 1986-2003).

We present some examples of mathematically natural nonrecursive sets of integers and relations on integers by combining results from Part 1, recursion theory, and from the negative solution to Hilbert’s 10th Problem ([3], [1], and [2]).

An unprovable theorem is a mathematical result that can-not be proved using the com-monly accepted axioms for mathematics (Zermelo-Frankel plus the axiom of choice), but can be proved by using the higher infinities known as large cardinals. Large car-dinal axioms have been the main proposal for new axioms originating with Gödel.

It has been accepted since the early part of the Century that there is no problem formalizing mathematics in standard formal systems of axiomatic set theory. Most people feel that they know as much as they ever want to know about how one can reduce natural numbers, integers, rationals, reals, and complex numbers to sets, and prove all of their basic properties. Furthermore, that this can continue through more and more complicated material, and that there is never a real problem.

We discuss several axiomatizations of set theory in first order predicate calculus with epsilon and a constant symbol W, starting with the simple system K(W) which has a strong equivalence with ZF without Foundation. The other systems correspond to various extensions of ZF by certain large cardinal hypotheses. These axiomatizations are unusually simple and uncluttered, and are highly suggestive of underlying philosophical principles that generate higher set theory.

A number of comparability theorems have been investigated from the viewpoint of reverse mathematics. Among these are various comparability theorems between countable well orderings ([2],[8]), and between closed sets in metric spaces ([3],[5]). Here we investigate the reverse mathematics of a comparability theorem for countable metric spaces, countable linear orderings, and sets of rationals. The previous work on closed sets used a strengthened notion of continuous embedding. The usual weaker notion of continuous embedding is used here. As a byproduct, we (...) sharpen previous results of [3],[5]. (shrink)

During his long and continuing scholarly career, Patrick Suppes contributed significantly both to the sciences and to their philosophies. The volume consists of papers by an international group of Suppes colleagues, collaborators, and students in many of the areas of his expertise, building on or adding to his insights. Michael Friedman offers an overview of Suppes accomplishments and of his unique perspective on the relation between science and philosophy. Paul Humphreys, Stephen Hartmann, and Tom Ryckman present essays in the philosophy (...) of physics. Jens-Erik Fenstad, Harvey Friedman, and Jaako Hintikka consider problems in the foundations of mathematics, while the late Duncan Luce, Jean-Claude Falmagne, Brian Skyrms, and Hannes Leitgeb have contributed essays in theory of measurement, decision theory and probability. Foundations of economics and political theory are addressed by Adolfo Garcia de la Sienra, Russell Hardin, and Kenneth Arrow. Psychology, language, and philosophy of language are addressed by Elizabeth Loftus, Anne Fagot-Largeault, Willem Levelt, Dagfinn Follesdal, and Marcos Perreau-Guimares and some of Suppes most recent research in neurobiology is addressed in essays by Colleen Crangle, Acadio de Barros and Claudio Carvalhes. Finally Nancy Cartwright and Alexandre Marcelles consider the alignment (or misalignment) of method and policy. Each of the essays is accompanied by a response from Suppes.". (shrink)