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)

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)

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)

An interpretation of Aristotle's modal syllogistic is proposed which is intuitively graspable, if only formally correst. The individuals to which a term applies, and possibly-applies, are supposed to be determined in a uniform way by the set of individuals to which the term necessarily-applies.

I examine Nagarjuna’s averting an opponent’s argument, Paul Sagal’s general interpretation of Nagarjuna and especially Sagal’s conception of "averting" an argument. Following Matilal, a distinction is drawn between locutionary negation and illocationary negation in order to avoid errant interpretations of verse 29 The argument is treated as representing an ampliative or inductive inference rather than a deductive one. As Nagarjuna says in verse 30: "That [denial] of mine [in verse 29] is a non-apprehension of non-things" and non-apprehension is the averting (...) of arguments or "the relinquishing of all views." "Not making a proposition P" would be not speaking P or silence with regard to P and, as Sagal argues, not meaning a global linguistic silence. Such an interpretation would lead to attributing wholesale irrationalism to Nagarjuna-something I wish to avoid. (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)

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)

There seems to exist a dilemma in the literature as to the correct relativistic formula for the Sagnac phase-shift. The paper addresses this issue in the light of a novel, kinematically equivalent linear Sagnac-type thought experiment, which provides a vantage point from which the effect of rotation in the usual Sagnac effect can be analyzed. The question is shown to be related to the so-called rotating disc problem known as the Ehrenfest paradox. The relativistic formula for the Sagnac phase-shift seems (...) to depend on the way the paradox is resolved. Kinematic resolution of the Ehrenfest paradox proposed by some authors predicts the usually quoted formula for the Sagnac delay but the resolution itself is shown to be based upon some implicit assumptions regarding the behaviour of solid bodies under acceleration. In order to have a greater insight into the problem, a second version of the thought experiment involving linear motion of a “special type” of a non-rigid frame of reference is discussed. It is shown by analogy that the usually quoted special relativistic formula for the Sagnac delay follows, provided the material of the disc matches the “special type.”. (shrink)

Different analyses of two-wrongs reasoning are presented and provide relief for the Groarke, Tindale, and Fisher analysis which is suggestive of the origin of this type of reasoning in Bentham and Mill. Aquinas's doctrine of double effect is entertained as a possible counterexample (which it is not). Two-wrongs reasoning can be either acceptable (reasonable) or unacceptable, and there are conditions that can be laid down for both situations in discourse. A negative version of the utilitarian principle assists us in understanding (...) two-wrongs reasoning in moral contexts. (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)

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)

A summary view of the main evidence at our disposal may be soon obtained. Three traditions appear at the outset. The first depends on a MS. once at Mainz, and now no longer extant, but of which part, at any rate, still existed in the sixteenth century; the second on an eleventh century MS. at Bamberg; and the third on a number of later MSS. in Rome, Florence, Paris, the British Museum, Oxford, Holkham, and other places. The fact that these (...) three traditions must be regarded as separate may be seen first from the parts of the decade which they each omit. (shrink)