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)

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.

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)

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)

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)

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)

Treatment of diseases of the brain by drugs or surgery necessitates an understanding of its structure and functions. The philosophical neurosurgeon soon encounters difficulties when localising the abstract concepts of mind and soul within the tangible 1300-gram organ containing 100 billion neurones. Hippocrates had focused attention on the brain as the seat of the mind. The tabula rasa postulated by Aristotle cannot be localised to a particular part of the brain with the confidence that we can localise spoken speech to (...) Broca's area or the movement of limbs to the contralateral motor cortex. Galen's localisation of imagination, reasoning, judgement and memory in the cerebral ventricles collapsed once it was evident that the functional units-neurones-lay in the parenchyma of the brain. Experiences gained from accidental injuries (Phineas Gage) or temporal lobe resection (William Beecher Scoville); studies on how we see and hear and more recent data from functional magnetic resonance studies have made us aware of the extensive network of neurones in the cerebral hemispheres that subserve the functions of the mind. The soul or atman, credited with the ability to enliven the body, was located by ancient anatomists and philosophers in the lungs or heart, in the pineal gland (Descartes), and generally in the brain. When the deeper parts of the brain came within the reach of neurosurgeons, the brainstem proved exceptionally delicate and vulnerable. The concept of brain death after irreversible damage to it has made all of us aware of 'the cocktail of brain soup and spark' in the brainstem so necessary for life. If there be a soul in each of us, surely, it is enshrined here. (shrink)

The phrase “the end of art” has a long association with Arthur C. Danto.1 Indeed, Danto popularized the idea and offered an explanation of this puzzling notion. How could there have been an end of art when it has robustly continued? For this question to make sense, the meaning of “end” is not in the sense of termination, finality, or death in a literal, physical sense. So in 1912 when Marius de Zayas pronounced “art is dead,” he must have thought (...) the historical circumstances warranted it and found the metaphor illuminating: “[Art’s] present movements are not at all indications of vitality; they are not even the convulsions of agony prior to death; they are the mechanical reflex actions of a corpse.”2 In less .. (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.

In his critique of aesthetic individualism, R.G. Collingwood provides an account of persons that anticipates the post-Wittgensteinians; notably, Peter Strawson, Daniel Dennett, and Annette Baier. According to this view, persons emerge in the midst of other persons. This process is always unfinished and ongoing throughout one's life. One difficulty with this perspective is the problem of firstness: if persons are essentially second persons or one's personhood is contingent upon other persons, how could there be a first person or early persons? (...) One solution to this problem is to employ the notion of family or community. This solution can be found in both Collingwood and Baier.After this discussion,we look at his autobiography for evidence of his own 'discoveries' of personhood. There is tension here because he was a rebel and a loner, but there were a few (but not many) good relationships that confirm or exemplify his view of persons in his own life. Also briefly addressed is how this view fits into his theories of history and art. (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)