The five participants in this dialogue critically discuss Zeno of Elea's paradox of Achilles and the tortoise. They consider a number of solutions to and restatements of the paradox, together with their philosophical implications. Among the issues investigated include the appearance-reality distinction, Aristotle's distinction between actual and potential infinity, the concept of a continuum, Cantor's continuum hypothesis and theory of transfinite ordinals, and, as a solution to Zeno's puzzle, the distinction between infinite and indeterminate or inexhaustible divisibility.

From Descartes and Cartesian mind-body dualism in the 17th century though to 21st-century concerns about artificial intelligence programming, The Bloomsbury Companion to the Philosophy of Consciousness presents a compelling history and up-to-date overview of this burgeoning subject area. Acknowledging that many of the original concepts of consciousness studies are found in writings of past thinkers, it begins with introductory overviews to the thought of Descartes through to Kant, covering Brentano's restoration of empiricism to philosophical psychology and the major figures of (...) the late 19th and early 20th centuries: Russell, Wittgenstein, Ryle and James. These opening chapters on the forces in the history of consciousness lay the groundwork needed to understand how influential contemporary thinkers in the philosophy of mind interpret the concept of consciousness. Featuring leading figures in the field, Part II discusses current issues in a range of topics progressing from the so-called hard problem of understanding the nature of consciousness, to the methodology of invoking the possibility of philosophical zombies and the prospects of reductivism in philosophy of mind. Part III is dedicated to new research directions in the philosophy of consciousness, including chapters on experiment objections to functionalism and the scope and limits of artificial intelligence. Equipped with practical research resources including an annotated bibliography, a research guide and a glossary, The Bloomsbury Companion to the Philosophy of Consciousness is an authoritative guide for studying the past, present and future of consciousness. (shrink)

In his philosophy of culture, Joseph Margolis maintains that, although human beings and human societies have a history, there is no human nature in the sense of a fixed essence. I consider objections to Margolis's thesis, beginning with the possibility that nonhuman intelligent species might be in a position to study human behavior from its origins to its demise with the proper distance from our own situation in order to arrive at an understanding of what is essential to human nature, (...) perhaps as a Kantian regulative rather than constitutive principle, and involving abstractions from particular cases and idealizations, as in other branches of science. Finally, I examine the historical‐past orientation of Margolis's concept of humanity's self‐understanding and its dependence on the intentionality of human thought, and I conclude that it provides an inadequate reason for denying that there can be such a thing as human nature. (shrink)

This collection of newly comissioned essays by international contributors offers a representative overview of the most important developments in contemporary philosophical logic. Presents controversies in philosophical implications and applications of formal symbolic logic. Surveys major trends and offers original insights.

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.

The traditional concept of propositional knowledge as justified true belief (JTB), even when modified, typically in its justification condition, to avoid Gettier-typecounterexamples, remains subject to a variety of criticisms. The redefinition proposed here puts pressure more specifically on the concept of truth as redundant in light of and inaccessible beyond the most robust requirements of best justification. Best-J is defined as justification for believing in a proposition’s truth where there is no better countermanding justification for believing instead the proposition’s negation. (...) A pragmatic perspective argues that truth is unnecessary and unattainable as a condition of knowledge beyond the requirement for practically attainable best justified belief. The key argument with respect to the eliminability of the truth condition in favor of a properly tailored justification condition is that there is nothing we do or can do in trying to satisfy the truth condition for knowledge beyond considering the epistemic merits of the justification that a believer accepts in coming to believe that the proposition is true. (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)

ABSTRACT The concept of paraconsistent logical consequence is usually negatively defined as a validity semantics in which not every sentences is deducible or in which inferential explosion does not occur. Paraconsistency has been negatively characterized in this way because paraconsistent logics have been designed specifically to avoid the trivialization of deductive inference entailed by the classical paradoxes of material implication for applications in a system that tolerates syntactical contradictions. The effect of the negative characterization of paraconsistency has been to encourage (...) an unsystematic development of distinct versions of paraconsistent logic. It has also contributed to a restricted overview of the full range of paraconsistent formalisms. After reviewing a standard negative characterization of paraconsistency and commenting on its limitations, I propose a positive characterization that makes possible a constructivistic description of the complete spectrum of distinct families of paraconsistent logics, and the description of a new type of maximally relevant paraconsistency, which I argue compares favorably with previously identified categories of paraconsistent logics. (shrink)

An examination of John Pollock's theory of artificial intelligence and philosophy of mind raises difficulties for his mechanist concept of person. Token physicalism, agent materialism, and strong artificial intelligence are so related that if the first two propositions are not well‐established, then there is no justification for believing that an artificial consciousness can be designed and built. Pollock's arguments are shown to be inconclusive in upholding a functionalist theory of persons as supervenient but purely physical entities. In part this is (...) the result of Pollock's thin definition of the concept of supervenience, according to which any complex supervenes on its proper parts. The limitations of this account are apparent when contrasted with richer conceptions of supervenience, such as Joseph Margolis’. But on Margolis’ theory, the mind and its expressions supervene on or rise above their material embodiments in the sense that they cannot be fully explained in physical terms, which contradicts Pollock's token physicalism and agent materialism. The consequence for Pollock's project to explain the mind as mechanical, and to manufacture artificial persons, is that these systems can at best aspire to impressive innovations in weak artificial intelligence, but realistically cannot aspire to strong or mentalistic artificial intelligence. (shrink)

This is a new critical edition of Berkeley’s 1734 _Three Dialogues_, a text that is deservedly one of the most challenging and beloved classics of modern philosophy. The heart of the work is the dispute between materialism and idealism, two fundamentally opposed positions that are embodied by Hylas and Philonous, the characters in this philosophical drama. The book is packed with brilliant arguments and counter-arguments of an extraordinarily sophisticated nature. Amid all this philosophical swordplay one would think that there could (...) be scant room for the characters to develop any sort of personality. Yet in Berkeley’s hands, and with his literary gifts, the interlocutors are both vivid and funny. The dialogue deals with some of the most important perennial problems of philosophy, including: the materialism-idealism dispute, skepticism in rationalist and empiricist epistemology, the conflict over apriorism and aposteriorism, rationalism versus empiricism, the existence and nature of God, the philosophy of science, philosophy of mathematics, abstract general ideas, the role of perception in human knowledge, and the metaphysics of causation. This edition combines a usefully annotated version of Berkeley’s complete original text with a substantial critical introduction, a chronology of events in Berkeley’s life and career, and supplementary annotated appendices of original sources from thinkers relevant to Berkeley’s work. (shrink)

GUILLERMO E. ROSADO HADDOCK, The Young Carnap's Unknown Master: Husserl's Influence onDer Raum and Der Logische Aufbau Der Welt. Aldershot: Ashgate Publishing Limited, 2008. xii + 138 pp. £50.00. I...

Psychologism is the target of vehement disapproval in much of mainstream philosophy from Kant to the present day. Yet although antipsychologistic rhetoric is adamant, there is little substantive argument against psychologism to be discovered in contemporary discussions of the problem. Many recent influential philosophical projects, moreover, including intuitionistic logic, conceptualism in the ontology of mathematics and the program to naturalize epistemology, are in different ways efforts to apply modern psychology in the service of philosophical theory. In this essay, I critically (...) survey the history of attacks on psychologism and conclude with a refutation of eight of the most important objections of the theory. My purpose is both to try to clarify the concept of psychologism and to encourage a renewed dialectical interaction between proponents and opponents of the philosophical merits of psychologism. (shrink)

This volume explores the central problems and exposes intriguing new directions in the philosophy of mathematics, making it an essential teaching resource, ...

Schopenhauer regards the ability to experience purely disinterested perception as the mark of aesthetic genius. Experience of the world as representation without interference of the individual will leads genius through imagination to grasp the Platonic Ideas underlying appearance, and then in a willful act of communication to depict the ideal in art. Schopenhauer's thesis that aesthetic genius is incompatible with the charming in still- life paintings of foods and historical paintings of nudes is criticized as inadequately supported by and arguably (...) inconsistent with his aesthetic principles. Nevertheless, Schopenhauer's views about the distractions of appetite and desire for aesthetic experience have a deeper significance in the philosophy of art. (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 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)

In this challenging and provocative analysis, Dale Jacquette argues that contemporary philosophy labours under a number of historically inherited delusions about the nature of logic and the philosophical significance of certain formal properties of specific types of logical constructions. Exposing some of the key misconceptions about formal symbolic logic and its relation to thought, language and the world, Jacquette clears the ground of some very well-entrenched philosophical doctrines about the nature of logic, including some of the most (...) fundamental seldom-questioned parts of elementary propositional and predicate-quantificational logic. Having presented difficulties for conventional ways of thinking about truth functionality, the metaphysics of reference and predication, the role of a concept of truth in a theory of meaning, among others, Jacquette proceeds to reshape the network of ideas about traditional logic that philosophy has acquired along with modern logic itself. In so doing Jacquette is able to offer a new perspective on a number of existing problems in logic and philosophy of logic. (shrink)

The present work considers Hume's critique of infinity in historical context as a product of Enlightenment theory of knowledge, and assesses the prospects of ...

A philosophical argument in ordinary language is made the basis for a series of deductive logic exercises. Problems of translating the reasoning and alternative symbolizations are discussed to help guide students toward accurate charitable formalizations. Finally, the inference is critically evaluated in light of its deductive validity.

The distinction between formal and informal logic is clarified as a prelude to considering their ideal relation. Aristotle's syllogistic describes forms of valid inference, and is in that sense a formal logic. Yet the square of opposition and rules of middle term distribution of positive or negative propositions in an argument's premises and conclusion are standardly received as devices of so-called informal logic and critical reasoning. I propose a more exact criterion for distinguishing between formal and informal logic, and then (...) defend a model for fruitful interaction between informal and formal methods of investigating and critically assessing the logic of arguments. (shrink)

An elementary exercise in symbolizing an existential to universal relation reveals expressive limitations in standard first-order predicate-quantificational logic. Alternative translations of a sample some-every sentence are considered and rejected after criticism, leaving as the best choice a particular structure that demonstrably does not serve for all predicates available to the ordinary language to which the sample sentence belongs. We explain the difficulties encountered in trying to arrive at an adequate translation of the sentence in classical logic, as background to examining (...) five alternative nonclassical logics to resolve the problem. We settle finally if only provisionally in the process on a version of intensional logic that permits reference and true predication of constitutive properties to nonexistent as well as existent objects. (shrink)