Although we believe the results reported below to have direct philosophical import, we shall for the most part confine our remarks to the realm of mathematics. The reader is referred to [4] for a philosophically oriented discussion, comprehensible to mathematicians, of tense logic.The “minimal” tense logicT0is the system having connectives ∼, →,F(“at some future time”), andP(“at some past time”); the following axioms:(whereGandHabbreviate ∼F∼ and ∼P∼ respectively); and the following rules:(8) fromαandα → β, inferβ,(9) fromα, infer any substitution instance ofα,(10) fromα, (...) inferGα,(11) fromα, inferHα.A tense logic is a systemTwhose language is that ofT0and whose axioms and rules include (1)–(11). The axioms and rules ofTother than (1)–(11) are calledproperaxioms and rules.We shall investigate three systems of semantics for tense logics, i.e. three notions ofstructureand three relations ⊧ which stand between structures and formulas. One reads⊧αas “αis valid in.” A structureis amodelof a tense logicTif every formula provable inTis valid in. A semantics isadequateforTif the set of models ofTin the semantics is characteristic forT, i.e. if wheneverT ∀ αthen there is a modelofTin the semantics such that∀ α. Two structuresand, possibly from different semantics, are calledequivalent(∼) if exactly the same formulas are valid inas in. (shrink)

The notion of a harmonious universe was taught by Pythagoras as early as the sixth century BC, and remained a basic premise in Western philosophy, science, and art almost to our own day. In Touches of Sweet Harmony, S. K. Heninger first recounts the legendary life of Pythagoras, describes his school at Croton, and discusses the materials from which the Renaissance drew its information about Pythagorean doctrine. The second section of the book reconstructs the many facets of this doctrine, and (...) the final section shows its influence on Renaissance poetics. Professor Heninger's magisterial work introduces the reader not only to Pythagoras but to a host of other classical, medieval, and Renaissance figures as well--from Plato and Aristotle through St. Augustine and Macrobius down to Sidney and Spenser. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Hume Studies Volume XX, Number 2, November 1994, pp. 261-287 Collingwood's Understanding of Hume S. K. WERTZ What was David Hume's reception in the British idealistic tradition? In this paper, I shall contribute a short chapter on this question by examining Hume's place in R. G. Collingwood's thought.1 Such an examination has been lacking in the literature, so what follows is a comprehensive study of Collingwood's use of Hume (...) throughout all of R.G.'s writings. I shall mainly focus on two main, unrelated discussions of Hume: first is the theory of the imagination which primarily occurs in The Principles of Art, and second is the set of relations between human nature and human history which is principally found in The Idea of History. These sections will be followed by a section on minor discussions and omissions and a conclusion. It is a common misconception that Collingwood (1889-1943) has little to offer Hume scholarship, and I wish to amend that here. Actually, Collingwood has good insights into the nature of the imagination and its role in human understanding, besides instructive thoughts on Hume on human nature and history, even though his discussion of the latter is flawed. This essay serves both historical and philosophical purposes. It is to sample Hume's place in early twentieth century British idealism at a time when he began to emerge as an important philosophical figure worthy of careful study. (By "idealism," I mean the philosophical movement which takes ideas to be an irreducible part of the world and whose program is opposed to both materialism and realism.) So Collingwood's portrait is historically interesting. But over and above this, it carries significant philosophical amendments, S. K. Wertz is at the Department of Philosophy, Texas Christian University, Box 30781, Fort Worth, TX 76129 USA. e-mail: [email protected] 262 S. K. Wertz criticisms, and suggestions about Hume's thought and the eighteenth century intellectual climate. Collingwood has mostly been studied as a philosopher of history or as an aesthetician, but not in toto from the perspective of one of the historical figures to whom he is deeply indebted. Such a view affords a portrait of Hume that is instructive and rewarding. The comparison of Hume and Collingwood lead us to finer appreciation of both philosophers. Let us first look at Collingwood's positive contribution. Imagination Collingwood begins his analysis by declaring his intentions: I shall...try to show that there are such things, to be with what Hume (whose account of them I shall take as my starting-point) called 'ideas' as distinct from 'impressions'. I shall try to show that there is a special activity of mind correlative to them, and that this is what we generally call imagination, as distinct from sensation on the one hand and intellect on the other. (PA 170-71, emphasis added) Why would Collingwood start with Hume's distinction between impressions and ideas? Undoubtedly, this means that Collingwood is willing to accept the validity of the distinction and to build on it. Isn't this a strange place for an idealist to begin? Not really. When we look at British philosophy at the turn of this century, we find idealists preoccupied with the distinction,2 so it is not extraordinary to find Collingwood utilizing it to some extent. Like most Oxford students of the time, Collingwood read Locke, Berkeley, and Hume in his undergraduate program. Consequently we find them in the problems he addresses. "It was Hume who first perceived the [Lockean] problem [of confusing sensation with imagination]," Collingwood attributes, "and tried to solve it by distinguishing ideas from impressions" (PA 200). In detail: He [Hume] was right when he laid it down that the immediate concern of thought is not with impressions but with ideas; that it is ideas, not impressions, that are associated with one another and thus built up into the fabric of knowledge; and that ideas, though 'derived' from impressions, are not mere relics of them like an after-taste of onions or an after-image of the sun (as Lockeans like Condillac supposed), but something different in kind: different, if not in what he... (shrink)

We show that the join of two classical [respectively, regular, normal] modal logics employing distinct modal operators is a conservative extension of each of them.

What are the historical origins of aesthetic education? One of these comes from the eighteenth century. This became an important theme in a novel of the time. Published in 1761, Jean-Jacques Rousseau’s Julie, or the New Heloise: Letters of Two Lovers Who Live in a Small Town at the Foot of the Alps1 was an instant success in eighteenth-century Europe. Widely read, the novel made European culture self-conscious and forced it to pay attention to aspects of living that had gone (...) unnoticed or underappreciated, including taste and food.2 These aspects—taste and food—become concrete manifestations of aesthetic education. Through the voices of Julie and her tutor-turned-lover Saint Preux, they provide a lively critique of.. (shrink)

This paper is an adventure of ideas which draws on the 'magic—magician' metaphor of medieval India to define the current existential predicament of the world. The author sets an agenda for reprioritization for restoring the imbalance in the fragmented human consciousness. This, the paper suggests, can be done by a gradual return to the subjective causal source of all our problems. The waning of the Objective Age created by science-technology-industrialism has led to a 'mutilating assimilative im balance' in this world. (...) The author urges the readers to strive for a subjective metanoia to counteract the objective paranoia of our times. (shrink)

The paper highlights the alienation and separation produced by science—technology between man and nature, and between man and man. The principal thesis in this paper is that such separative mentality is the root cause of the deterioration in ethics even in unexpected quarters. Warnings about this were foreseen by a number of Indian livers (those who live the thought) and thinkers during the early twentieth century. Their prophecies seem to be unfortunately coming true. After sharing this sample of opinions, several (...) recent cases of vicious unethicalities all over the world have been presented. This is followed by a brief survey of Western thought over the past six decades which too was mature enough to caution us about the blind onslaught of technology. The paper concludes by arguing for a complete overhaul of the vocabulary of modern discourse from the objective to the subjective. (shrink)

The paper analysis the strategies and concepts developed in the world in modern directions: innova- tive economy, digital economy, artificial intelligence, Industry 4.0 and others. The problem is to determine the initial fundamental parameters of order and their prospects in the global world, the definition and principles of artificial intel- ligence systems, its structure and important aspects and principles of future science and technology in analysis and synthesis based on synergetic approaches, innovative, information, converged technologies, taking into account the design (...) of future and viable and safe and sustainable development in the context of Industry 4.0, digital economy and Society 5.0. The general scheme of the integrated model of sustainable and socio-humanitarian development in the global system is proposed, which the authors call the noosphere model of sustainable and safe development as an important fundamental platform for the design and creation of AIS. In the XXI century education, science and innova- tive technologies becomes the «basis» of the spiritual and material reproduction of man, transforming the society of the XXI century into an educational society, ensures compliance with the law of advanced development of human quality, quality of social intelligence and quality of educational systems in society. noosphere evolution. Industry 4.0 is the next stage in the digitalization of production technologies with the accelerated introduction of new developments and cyberphysical systems, which is changing business models. Accordingly, Industry 4.0 as a separate segment of digital manufacturing technologies takes its place among other digital sectors. The analysis of the Strategies and Concepts developed in the world in modern directions: innovative economy, digital economy, artificial intelli- gence, Industry 4.0 and others is carried out in the work. The problem is to determine the initial fundamental para- meters of order and their prospects in the global world, the definition and principles of artificial intelligence systems, its structure and important aspects and principles of future science and technology in analysis and synthesis ba- sed on synergetic approaches, innovative, information, converged technologies, taking into account the design of future and viable and safe and sustainable development in the context of Industry 4.0, DE and Society 5.0. The main scientific and technological factors in the 21st century will be the development of: Artificial Intelligence, Nano Technologies, Bio-Media Technologies, Cognitive Technologies and Socio-Humanitarian Technologies. More specifically – this is the modern development of Innovative Technologies: «NBIC SH». Therefore, it is necessary to note the importance of taking into account the principle of I2K2+SH, ie: Intellectualization, Integration, Convergence, Coevolution and Socio- humanitarian technologies. It is important and necessary to take into account modern principles of designing a su- stainable and secure AIS and solving the problem of Harmonization between 2 worlds: Real and Virtual, especially in their hybridization. Our immediate future is a hybrid nonlinear world. Note that digitalization, artificial intelligence and robotics will be the main drivers of global economic growth by 2030E. An important paradigm and platform is the Integrated System: for Industry 4.0, DE and AI, taking into account the complex principle of I2K2+SH. If the transition of the Ukrainian economy to an innovative one does not take place in the next 3-5 years, Ukraine will remain in the backyard of civilization. (shrink)

R. G. Collingwood (1889–1943) had several arguments that analyzed race in history and anthropology. These appear mainly in Roman Britain (both in theory and practice of history), The Idea of History, and The Principles of History. This latter work, which is fairly new to Collingwood scholarship (1999), contains the most important arguments. Collingwood argued that race is grounded in the historical process and this includes a people's environment, more so than genetics or evolution. He used the nature of art as (...) an example in his main argument. This spills over in his view of anthropology—in particular physical anthropology that was influenced by John Beddoe. His view is contrasted with Claude Lévi-Strauss who held that physical anthropology is at the forefront of social or cultural anthropology which follows its lead. Whereas Collingwood held that in studying blood types, skulls, and bones, 'one does not get inside the object or recreate its object inside itself.' Consequently, cultural anthropology will always provide the key to racial considerations. What is revealed is that emotions and rationality are the same across cultures; also, that superiority/inferiority claims about race are mythical and lead us into darkness and superstition. (shrink)

Unethical business in India became a recognized phenomenon during the second World War. Academic/journalistic/legal concern with ethics has become visible only during the nineties. Corruption-of-the-poor and corruption-of-the-rich need to be distinguished - especially in the context of globalization. The danger of attributing unethical practices to system failure is recognized. It is also important to bring to bear on intellectual property rights the more fundamental principle of natural property rights. Consciousness ethics will be more crucial than just intellectual ethics.

THIS ESSAY DEALS WITH D F NORTON’S INTERPRETATION OF HUME’S METHODOLOGY IN THE LATTER’S FAMOUS DISCUSSION OF MIRACLES IN THE FIRST INQUIRY. NORTON CONSTRUES "EXPERIENCE" TO MEAN PERSONAL, INDIVIDUAL EXPERIENCE. THE AUTHOR SHOWS THAT THERE IS ANOTHER SENSE OF THE WORD WHICH IS MORE COSMOPOLITAN AND ONE WHICH SQUARES MORE WITH THE USES OF EVIDENCE FOUND IN THE "HISTORY OF ENGLAND". ALTERNATIVE INTERPRETATIONS OF THE HUME PASSAGE ARE GIVEN AND HUME’S METHOD IS COMPARED WITH R G COLLINGWOOD’S IMAGINATIVE RECONSTRUCTIONIST IDEA (...) OF HISTORY. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Art's DetourA Clash of Aesthetic TheoriesS. K. Wertz (bio)Both John Dewey1 and Martin Heidegger2 thought that art's audience had to take a detour in order to appreciate or understand a work of art. They wrote about this around the same time (mid-1930s) and independently of one another, so this similar circumstance in the history of aesthetics is unusual since they come from very different philosophical traditions. What was it (...) about the climate of the times that led them to such an idea? Is it still viable today? Both philosophers thought that art's audience is not in a position to immediately appreciate works of art—that we are missing something for a direct appreciation or apprehension—so we must take a detour. Why the detours and what are they? Are the detours similar? And are Dewey and Heidegger right about this? The essay that unfolds below attempts to answer these questions.First a definition is in order so we know what the term "detour" means when I use it. What is a detour? It is a deviation from a direct course or the usual procedure; a roundabout way temporarily replacing part of a route; in other words, a bypass or a roundabout way to some destination. The Little Oxford Dictionary adds a different twist on my characterization: "a course that leaves and rejoins [the] direct route."3 Applying this idea to art, we can say that a detour describes an audience who ordinarily perceives an artwork is a legitimate beginning for an appreciation of it, but that course must be bypassed for another (conception) before it can rejoin the direct route (perception). In other words, perceptions in the aesthetic experience must be aided by conceptions—a decidedly Kantian stance taken by Dewey and Heidegger. Their illustrations make my interpretation plausible.One of Heidegger's examples is Van Gogh's painting of a pair of peasant boots.4 He selects this painting to illustrate his metaphysics, which centers around the notion of "equipment." Peasant boots are equipment in [End Page 100] the sense that they are worn or used; the mere thing (like shoes or boots in a store [exhibited] or a closet [in storage]) disappears in use and becomes equipment. Between equipment and mere things—these two categories of being—are artworks. They are pictorial representations of equipment (in Heidegger's illustration; a pair of shoes as mere things could be a pictorial representation, like an advertisement, but it wouldn't be the same). Through the painted boots, a world comes into focus—a network of meaning. The world Heidegger sees in the Van Gogh painting is captured in the following descriptions: "In the vicinity of the [art]work we were suddenly somewhere else than we usually tend to be…. The art work let us know what shoes are in truth" (ATCR 233). So the nature of art is still a question about the nature of representation for Heidegger: it is what the shoes disclose to us about human existence. As he says, it is not just merely a pair of shoes portrayed but shoes "from the dark opening of the worn insides … the toilsome tread of the worker stares forth" (ATCR 232). In other words, we see the difficult labor that this particular owner toiled with in her daily chores.In Tralbaut's book, he quotes Heidegger in a caption alongside the painting: "Engraving in the intimate obscurity of the hollow of a boot is the weariness of the steps of work. The rough and solid weight of the clog tells of the slow and obstinate trudge across the fields."5 Heidegger continues in the same vein:In the stiffly rugged heaviness of the shoes there is the accumulated tenacity of her slow trudge through the far-spreading and ever-uniform furrows of the field swept by a raw wind. On the leather lie the dampness and richness of the soil. Under the soles slides the loneliness of the field-path as evening falls. In the shoes vibrates the silent call of the earth, its quiet gift of the ripening grain and its unexplained self-refusal in the fallow desolation of... (shrink)

A set S of degrees is said to be an initial segment if c ≤ d ∈ S→-c∈S. Shoenfield has shown that if P is the lattice of all subsets of a finite set then there is an initial segment of degrees isomorphic to P. Rosenstein [2] (independently) proved the same to hold of the lattice of all finite subsets of a countable set. We shall show that “countable set” may be replaced by “set of cardinality at most that of (...) the continuum.” This result is also an extension of [3, Corollary 2 to Theorem 15], which states that there is a sublattice of degrees isomorphic to the lattice of all finite subsets of 2N. (A sublattice of degrees is a subset closed under ∪ and ∩; an initial segment closed under ∪ is necessarily a sublattice, but not conversely.)It seems worth noting that the proof of the present result was preceded in time by our proof [4] of the analogous theorem for hyperdegrees, and is in fact an adaptation of that proof. Thus the present work has been influenced much more directly by the Gandy-Sacks forcing construction of a minimal hyperdegree [1] than by previous work on initial segments of degrees. (shrink)

Jean-François Revel is the first philosopher to take food seriously and to offer a topology for food practices. He draws a distinction between different kinds of cuisine -- popular (regional) cuisine and erudite (professional) cuisine. With this distinction, he traces the evolution of food practices from the ancient Greeks and Romans, down through the Middle Ages, and into the Renaissance and the Modern Period. His contribution has been acknowledged by Deane Curtin who offers an interpretation of Revel’s conceptual scheme along (...) Platonic lines. In this essay the author reviews Curtin’s interpretation, finds it wanting in certain respects, and develops an alternative reading of Revel along Hegelian lines. This interpretation, the author believes, does greater justice to Revel’s topology for food practices. (shrink)

How does aesthetic education begin and expand over time? David Hume’s idea of the narrow circle provides us with an answer when considering this question. He uses the narrow circle to explain how moral practices evolve, and by analogy, we can also use this conception to explain how aesthetic practices evolve. So I will first of all begin with a discussion of his essay “The Standard of Taste.”1 In this essay, Hume gives an excellent profile of the critic who has (...) the traits to generate the standard of taste: delicacy of taste or a delicate imagination; practice in a particular art; ability to make comparisons, free from prejudice; and good sense in exercising the former traits. He says that few are qualified... (shrink)

Leo Tolstoy's theory of human nature is sketched with Descartes's and Hume's theories of human nature in the background for context. Tolstoy's view is limited to "What Is Art"?, although it could be substantially augmented by references to his other well-known works. "By words a man transmits his thoughts," to which Tolstoy adds, "by means of art he transmits his feelings." Language and art work together to give us an aesthetic education that is built around the forms of communication found (...) in the arts: story-telling, singing, acting, dancing, making, and so on. These activities reflect the fundamentals of human nature; hence, the connection Tolstoy found between human nature and art that previous thinkers had not made. (shrink)

Despite global and local attempts to end genital mutilation, in their various forms, whether of males or females, the practice has persisted throughout human history in most parts of the world. Various medical, scientific, hygienic, aesthetic, religious, and cultural reasons have been used to justify it. In this symposium on circumcision, against the background of the other articles by Hutson, Short, and Viens, the practice is set by the author within a wider, global context by discussing a range of rationalisations (...) used to support different types of genital mutilation throughout time and across the globe. It is argued that in most cases the rationalisations invented to provide support for continuing the practice of genital mutilation—whether male or female—within various cultural and religious settings have very little to do with finding a critical and reflective moral justification for these practices. In order to question the ethical acceptability of the practice in its non-therapeutic forms, we need to focus on child rights protection. (shrink)

Governments must keep agricultural systems free of pests that threaten agricultural production and international trade. Biosecurity surveillance already makes use of a wide range of technologies, such as insect traps and lures, geographic information systems, and diagnostic biochemical tests. The rise of cheap and usable surveillance technologies such as remotely piloted aircraft systems presents value conflicts not addressed in international biosurveillance guidelines. The costs of keeping agriculture pest-free include privacy violations and reduced autonomy for farmers. We argue that physical and (...) digital privacy in the age of ubiquitous aerial and ground surveillance is a natural right to allow people to function freely on their land. Surveillance methods must be co-created and justified through using ethically defensible processes such as discourse theory, value-centred design and responsible innovation to forge a cooperative social contract between diverse stakeholders. We propose an ethical framework for biosurveillance activities that balances the collective benefits for food security with individual privacy: establish the boundaries of a biosurveillance social contract; justify surveillance operations for the farmers, researchers, industry, the public and regulators; give decision makers a reasonable measure of control over their personal and agricultural data; and choose surveillance methodologies that give the appropriate information. The benefits of incorporating an ethical framework for responsible biosurveillance innovation include increased participation and accumulated trust over time. Long term trust and cooperation will support food security, producing higher quality data overall and mitigating against anticipated information gaps that may emerge due to disrespecting landholder rights. (shrink)

Мета. Стаття являє собою філософсько-антропологічну репрезентацію ідеї духовності в трилогії "Фундація" американського письменника-фантаста, філософа, популяризатора науки Айзека Азімова. Теоретичний базис. Дослідження базується на розумінні світоглядних імперативів творчості А. Азімова, які висвітлюють його філософсько-антропологічне бачення духовності як історично усталеної властивості раціонально організованого суспільства і ключову умову його прогресивної еволюції. Емерджентність, стохастичність і евентуальність розвитку сучасного глобального соціуму виводить зміст філософсько-антропологічних ідей А. Азімова на принципово новий рівень розуміння подальшого розвитку людства. Артикуляція А. Азімовим ідеї духовності в трилогії "Фундація" дозволяє визначити філософсько-антропологічну (...) концепцію письменника у всій повноті її соціального, філософського, екзистенціального та аксіологічного вимірів. Наукова новизна. Автори обґрунтували доцільність та актуальність розгляду ідеї духовності в трилогії А. Азімова "Фундація" в смисловому полі філософської антропології. Показано, що філософська антропологія А. Азімова має чітко виражене телеологічне "навантаження". В інтерпретації письменника людина майбутнього – це не "постлюдина" зі зміненою за допомогою спеціальних технологій біологічною природою, а людина, орієнтована на духовний розвиток і самовдосконалення, що базуються на одвічних цінностях, зафіксованих у ментальному коді Homo sapiens – щасті, любові, свободі, гідності, незалежності, патріотизмі. Висновки. "Фундація" – твір багатоплановий, сюжетно насичений, композиційно мозаїчний, поліфонічний, у якому, на перший погляд, важко визначити якусь домінантну ідею. У процесі дослідження встановлено, що в творчості А. Азімова одним із основних змістових центрів є філософсько-антропологічний дискурс, у просторі якого значну увагу приділено духовності людини. (shrink)

This paper presents evidence and arguments against an interpretation of david Hume's idea of history which insists that he held to a static conception of human nature. This interpretation presumes that hume lacks a genuine historical perspective, and that consequently his notion of historiography contains a fallacy (viz., Of the universal man). It is shown here that this interpretation overlooks an important distinction between methodological and substantive uniformity in hume's discussion of human nature and action. When this distinction is appreciated, (...) the above criticisms appear misrepresentative of hume's ideas of history, human nature, and their connection. A different interpretation of these concepts is then developed. (shrink)