Tip: Search results and category listings are restricted by the filters on the right hand side of the page. Not all entries are shown by default. (Okay, got it)
Philosophical semantics requires an ontology that includes negative as well as positive states of affairs as truth-makers and truth-breakers. Theories that try to do without negative states of affairs while interpreting propositional truth as positive correspondence with existent states of affairs are inherently inadequate and incomplete. A semantics and ontology of negative states of affairs can also do justice to positive states of affairs, since the iterated negative state of affairs that a negative state of affairs exists describes a positive (...) state of affairs, but the iterated positive state of affairs that a positive state of affairs exists never describes a negative state of affairs. Negative states of affairs are not only essential to semantics, but to a complete description of the world; they include phenomena of presence in absence and the metaphysics of gaps, lacks, holes and interstitia. The conceivability of an empty or null universe as consisting of nothing but negative states of affairs recalls a famous problem of Parmenides. (shrink)
Tarski avoids the liar paradox by relativizing truth and falsehood to particular languages and forbidding the predication to sentences in a language of truth or falsehood by any sentences belonging to the same language. The Tarski truth-schemata stratify an object-language and indefinitely ascending hierarchy of meta-languages in which the truth or falsehood of sentences in a language can only be asserted or denied in a higher-order meta-language. However, Tarski’s statement of the truth-schemata themselves involve general truth functions, and in particular (...) the biconditional, defined in terms of truth conditions involving truth values standardly displayed in a truth table. Consistently with his semantic program, all such truth values should also be relativized to particular languages for Tarski. The objection thus points toward the more interesting problem of Tarski’s concept of the exact status of truth predications in a general logic of sentential connectives. Tarski’s three-part solution to the circularity objection which he anticipates is discussed and refuted in detail. (shrink)
An argument against multiply instantiable universals is considered in neglected essays by Stanislaw Lesniewski and I.M. Bochenski. Bochenski further applies Lesniewski’s refutation of universals by maintaining that identity principles for individuals must be different than property identity principles. Lesniewski’s argument is formalized for purposes of exact criticism, and shown to involve both a hidden vicious circularity in the form of impredicative definitions and explicit self-defeating consequences. Syntactical restrictions on Leibnizian indiscernibility of identicals are recommended to forestall Lesniewski’s paradox.
Although it is frequently said that logic is a purely formal discipline lacking any content for special philosophical subdisciplines, I argue in this essay that the concepts of predication, and of the properties of objects presupposed by standard first-order logic are sufficient to address many of the traditional problems of ontology. The concept of an object's having a property is extended to provide an intensional definition of the existence of an object as the object's possessing a maximally consistent property combination, (...) consisting, for any property or its complement. Nonexistent objects by the proposed definition are those that either lack both some property and its complement, or have both a property and its complement included in its corresponding property combination. The definition in turn makes it possible to offer solutions based on purely logical concepts of such longstanding metaphysical problems as why there is something rather than nothing, and why there exists exactly one logically contingent actual world, itself a maximally consistent combination of true predication instances or facts. Additionally, the ontology upholds an argument in support of modal actualism and against modal realism, treating all logically possible worlds other than the actual world as predicationally incomplete nonexistent objects or semantic fictions. (shrink)
Trying to make sense of abstract painting has resulted in interesting but often inexact and inadequately motivated efforts to characterize what is distinctive about modern art. The present account begins with Gertrude Stein's description of the fascination she experiences in viewing painted surfaces and proceeds through a number of efforts to justify or severely criticize abstract painting in relation to more traditional representational works. The basis for a phenomenology of abstract painting is suggested by James Elkins's first-person analysis of the (...) reasons why painters paint, focusing on the production rather than exclusively on the appreciation of paintings. Elkins's proposal that painters paint as an exploration of the possibilities of working with the material substance of paint is advanced as the basis for a new approach to the problems of understanding the nature of abstract art as the most pure and concentrated form of this remarkable aesthetic preoccupation that is to be found in all paintings and by extension in all art. (shrink)
The papers presented in this volume examine topics of central interest in contemporary philosophy of logic. They include reflections on the nature of logic and its relevance for philosophy today, and explore in depth developments in informal logic and the relation of informal to symbolic logic, mathematical metatheory and the limiting metatheorems, modal logic, many-valued logic, relevance and paraconsistent logic, free logics, extensional v. intensional logics, the logic of fiction, epistemic logic, formal logical and semantic paradoxes, the concept of truth, (...) the formal theory of entailment, objectual and substitutional interpretation of the quantifiers, infinity and domain constraints, the Löwenheim-Skolem theorem and Skolem paradox, vagueness, modal realism v. actualism, counterfactuals and the logic of causation, applications of logic and mathematics to the physical sciences, logically possible worlds and counterpart semantics, and the legacy of Hilbert’s program and logicism. The handbook is meant to be both a compendium of new work in symbolic logic and an authoritative resource for students and researchers, a book to be consulted for specific information about recent developments in logic and to be read with pleasure for its technical acumen and philosophical insights. Key Features - Written by leading logicians and philosophers - Comprehensive authoritative coverage of all major areas of contemporary research in symbolic logic - Clear, in-depth expositions of technical detail - Progressive organization from general considerations to informal to symbolic logic to nonclassical logics - Presents current work in symbolic logic within a unified framework - Accessible to students, engaging for experts and professionals - Insightful philosophical discussions of all aspects of logic -Useful bibliographies in every chapter - Written by leading logicians and philosophers - Comprehensive authoritative coverage of all major areas of contemporary research in symbolic logic - Clear, in-depth expositions of technical detail - Progressive organization from general considerations to informal to symbolic logic to nonclassical logics - Presents current work in symbolic logic within a unified framework - Accessible to students, engaging for experts and professionals - Insightful philosophical discussions of all aspects of logic - Useful bibliographies in every chapter. (shrink)
If we agree with Michael Jubien that propositions do not exist, while accepting the existence of abstract sets in a realist mathematical ontology, then the combined effect of these ontological commitments has surprising implications for the metaphysics of modal logic, the ontology of logically possible worlds, and the controversy over modal realism versus actualism. Logically possible worlds as maximally consistent proposition sets exist if sets generally exist, but are equivalently expressed as maximally consistent conjunctions of the same propositions in corresponding (...) sets. A conjunction of propositions, even if infinite in extent, is nevertheless itself a proposition. If sets and hence proposition sets exist but propositions do not exist, then whether or not modal realism is true depends on which of two apparently equivalent methods of identifying, representing, or characterizing logically possible worlds we choose to adopt. I consider a number of reactions to the problem, concluding that the best solution may be to reject the conventional model set theoretical concept of logically possible worlds as maximally consistent proposition sets, and distinguishing between the actual world alone as maximally consistent and interpreting all nonactual merely logically possible worlds as submaximal. (shrink)
Franz Brentano (1838-1917) led an intellectual revolution that sought to revitalize German-language philosophy and to reverse its post-Kantian direction. His philosophy laid the groundwork for philosophy of science as it came to fruition in the Vienna Circle, and for phenomenology in the work of such figures as his student Edmund Husserl. This volume brings together newly commissioned chapters on his important work in theory of judgement, the reform of syllogistic logic, theory of intentionality, empirical descriptive psychology and phenomenology, theory of (...) knowledge, metaphysics and ontology, value theory, and natural theology. It also offers a critical evaluation of Brentano's significance in his historical context, and of his impact on contemporary philosophy in both the analytic and the continental traditions. (shrink)
The concept of death is of special importance in Schopenhauer''s metaphysics of appearance and Will. Death for Schopenhauer is the aim and purpose of life, that toward which life is directed, and the denial of the individual will to life. Despite his profound pessimism, Schopenhauer vehemently rejects suicide as an unworthy affirmation of the will to life by those who seek to escape rather than seek nondiscursive knowledge of Will in suffering. The only manner of self-destruction Schopenhauer finds philosophically acceptable (...) is the ascetic saint''s death by starvation. Here the individual will to life is so completely mastered as to refuse even the most basic desire for nourishment, and thereby passes into nonexistence in complete renunciation of the individual will. Schopenhauer''s attitude toward suicide nevertheless embodies an inconsistency. If, as Schopenhauer believes, the aim of life is death, and death is an unreal aspect of the world as appearance, then there appears to be no justification why the philosopher should not rush headlong into it - not to affirm the will to life in an abject effort to avoid suffering, but in order to fulfill life''s purpose by ending it for distinctly philosophical reasons immediately upon arriving at an understanding of the appearance-reality distinction. (shrink)
The demand for 'criteria of correctness' to identify recurring particulars in Wittgenstein's private language argument favors an idealist interpretation of quantum phenomena.The indeterminacy principle in quantum physics and the logic of the private language argument share a common concern with the limitations by which microphysical or sensation particulars can be reidentified. Wittgenstein's criteria for reidentifying particular recurrent private sensations are so general as to apply with equal force to quantum particulars, and to support the idealist thesis that quantum phenomena are (...) themselves essentially mental or dependent on mental occurrences. (shrink)
This collection brings together thirteen new essays by some of the most respected contemporary scholars of Schopenhauer's aesthetics from a wide spectrum of philosophical perspectives. The dynamics of the empirical will and Will as a thing-in-itself in the interplay of Schopenhauer's metaphysics and philosophy of fine art has important implications for the freedom, salvation, and tragic suffering of the artist, the representation of Platonic Ideas in art, and the role of artistic inspiration, emotion, and aesthetic pleasure in the beautiful and (...) sublime. These essays examine the unique theory Schopenhauer developed to explain the life and work of the artist, and the influence his aesthetic philosophy has had on subsequent artistic traditions in such diverse areas as music, painting, poetry, literature, and architecture. The authors present Schopenhauer's thought as a vital and enduring contribution to aesthetic theory, and to the idealist vision which continues to guide Romantic and neo-Romantic art. (shrink)
In moral dilemmas, where circumstances prevent two or more equally justified prima facie ethical requirements from being fulfilled, it is often maintained that, since the agent cannot do both, conjoint obligation is overridden by Kant's principle that ought implies can, but that the agent nevertheless has a disjunctive obligation to perform one of the otherwise obligatory actions or the other. Against this commonly received view, it is demonstrated that although Kant's ought-can principle may avoid logical inconsistency, the principle is incompatible (...) with disjunctive obligation in standard deontic logic, and that it entails paradoxically that none of the conflicting dilemma actions will in fact occur. The principle appears to provide the only plausible safeguard against deontic antinomy, but cannot be admitted because of its collision with considered moral judgments. (shrink)
John R. Searle's problem of the Chinese Room poses an important philosophical challenge to the foundations of strong artificial intelligence, and functionalist, cognitivist, and computationalist theories of mind. Searle has recently responded to three categories of criticisms of the Chinese Room and the consequences he attempts to conclude from it, redescribing the essential features of the problem, and offering new arguments about the syntax-semantics gap it is intended to demonstrate. Despite Searle's defense, the Chinese Room remains ineffective as a counterexample, (...) and poses no real threat to artificial intelligence or mechanist philosophy of mind. The thesis that intentionality is a primitive irreducible relation exemplified by biological phenomena is preferred in opposition to Searle's contrary claim that intentionality is a biological phenomenon exhibiting abstract properties. (shrink)
