A major recurrent feature of the intellectual landscape in cognitive science is the appearance of a collection of essays by Noam Chomsky. These collections serve both to inform the wider cognitive science community about the latest developments in the approach to the study of language that Chomsky has advocated for almost fifty years now,1 and to provide trenchant criticisms of what he takes to be mistaken philosophical objections to this approach. This new collection contains seven essays, the earliest of which (...) were first published about ten years ago. So the linguistic work that is summarised is within the principles and parameters approach and some of the essays (particularly the first and last) provide an outline of the main ideas of the emerging minimalist programme.2 But this is not primarily a book about the details of recent linguistic theory. Rather, in these essays Chomsky offers a wealth of critical commentary on some of the most influential arguments in the philosophy of mind and language that have appeared over the past two decades or so. Indeed, Chomsky discusses a vast range of philosophical topics and reaches some radical conclusions – that many influential philosophical discussions on language and mind are utterly misconceived and that, for example, the traditional mind-body problem cannot even be coherently stated. (shrink)
In this paper, we develop a duality for the varieties of a Łukasiewicz n + 1-valued modal System. This duality is an extension of Stone duality for modal algebras. Some logical consequences (such as completeness results, correspondence theory...) are then derived and we propose some ideas for future research.
We show, roughly speaking, that it requires ω iterations of the Turing jump to decode nontrivial information from Boolean algebras in an isomorphism invariant fashion. More precisely, if α is a recursive ordinal, A is a countable structure with finite signature, and d is a degree, we say that A has αth-jump degree d if d is the least degree which is the αth jump of some degree c such there is an isomorphic copy of A with universe ω in (...) which the functions and relations have degree at most c. We show that every degree d ≥ 0 (ω) is the ωth jump degree of a Boolean algebra, but that for $n no Boolean algebra has nth-jump degree $\mathbf{d} > 0^{(n)}$ . The former result follows easily from work of L. Feiner. The proof of the latter result uses the forcing methods of J. Knight together with an analysis of various equivalences between Boolean algebras based on a study of their Stone spaces. A byproduct of the proof is a method for constructing Stone spaces with various prescribed properties. (shrink)
In this paper we pursue the study of the variety of m -generalized Łukasiewicz algebras of order n which was initiated in [1]. This variety contains the variety of Łukasiewicz algebras of order n . Given , we establish an isomorphism from its congruence lattice to the lattice of Stone filters of a certain Łukasiewicz algebra of order n and for each congruence on A we find a description via the corresponding Stone filter. We characterize the principal congruences (...) on A via Stone filters. In doing so, we obtain a polynomial equation which defines the principal congruences on the algebras of . After showing that for m > 1 and n > 2, the variety of Łukasiewicz algebras of order n is a proper subvariety of , we prove that is a finitely generated discriminator variety and point out some consequences of this strong property, one of which is congruence permutability. (shrink)
This paper explores relationships between many-valued logic and fuzzy topology from the viewpoint of duality theory. We first show a fuzzy topological duality for the algebras of Łukasiewicz n -valued logic with truth constants, which generalizes Stone duality for Boolean algebras to the n -valued case via fuzzy topology. Then, based on this duality, we show a fuzzy topological duality for the algebras of modal Łukasiewicz n -valued logic with truth constants, which generalizes Jónsson-Tarski duality for modal algebras to (...) the n -valued case via fuzzy topology. We emphasize that fuzzy topological spaces naturally arise as spectrums of algebras of many-valued logics. (shrink)
In contrast to many of his contemporaries, A. J. Ayer was an analytic philosopher who had sustained throughout his career some interest in developments in the work of his ‘continental’ peers. Ayer, who spoke French, held friendships with some important Parisian intellectuals, such as Camus, Bataille, Wahl and Merleau-Ponty. This paper examines the circumstances of a meeting between Ayer, Merleau-Ponty, Wahl, Ambrosino and Bataille, which took place in 1951 at some Parisian bar. The question under discussion during this meeting was (...) whether the sun existed before humans did, over which the various philosophers disagreed. This disagreement is tangled with a variety of issues, such as Ayer’s critique of Heidegger and Sartre (inherited from Carnap), Ayer’s response to Merleau-Ponty’s critique of empiricism, and Bataille’s response to Sartre’s critique of his notion of ‘unknowing’, which uncannily resembles Ayer’s critique of Sartre. Amidst this tangle one finds Bataille’s statement that an ‘abyss’ separates English from French and German philosophy, the first recorded announcement of the analytic-continental divide in the twentieth century. References H. B. Acton. Philosophy in France. Philosophy, 22(82):161-166, 1947. http://dx.doi.org/10.1017/S0031819100025365 A. J. Ayer & T. Honderich. An Interview with A. J. Ayer. In A. P. Griffiths, editor, A.J. Ayer Memorial Essays, pages 209-226. Cambridge, Cambridge University Press, 1991. A. J. Ayer. Language, Truth and Logic. London, Gollancz, 1936. A. J. Ayer. Novelist-Philosopher, Jean-Paul Sartre. Horizon, 12(67):12–26, & 12(68):101-110, 1945. A. J. Ayer. Novelist-Philosopher, Albert Camus. Horizon, 13(75):155-168, 1946a. A. J. Ayer. Secret Session. Polemic, 2:60-63, 1946b. A. J. Ayer. Some Aspects of Existentialism. In F. Watts, editor, H. B. Acton. Philosophy in France. Philosophy, 22(82):161-166, 1947. http://dx.doi.org/10.1017/S0031819100025365 A. J. Ayer & T. Honderich. An Interview with A. J. Ayer. In A. P. Griffiths, editor, A.J. Ayer Memorial Essays, pages 209-226. Cambridge, Cambridge University Press, 1991. A. J. Ayer. Language, Truth and Logic. London, Gollancz, 1936. A. J. Ayer. Novelist-Philosopher, Jean-Paul Sartre. Horizon, 12(67):12–26, & 12(68):101-110, 1945. A. J. Ayer. Novelist-Philosopher, Albert Camus. Horizon, 13(75): 155-168, 1946a. A. J. Ayer. Secret Session. Polemic, 2:60-63, 1946b. A. J. Ayer. Some Aspects of Existentialism. In F. Watts, editor, The Rationalist Annual, pages 5-13. London, Watts & Co, 1948. A. J. Ayer. The Definition of Liberty: Jean-Paul Sartre’s Doctrine of Commitment. The Listener, 44(1135):633-634, 1950. A. J. Ayer. Jean-Paul Sartre. Encounter, 15(4):75-77, 1961. A. J. Ayer. On Existentialism. Modern Languages, 48(1):1-12, 1967. A. J. Ayer. Sartre on the Jews. The Spectator, 211(7317):394-395, 1968. A. J. Ayer. Reflections on Existentialism. In Metaphysics and Common Sense, pages 203-218. London, Macmillan,1969. A. J. Ayer. Part of my Life: The Memoirs of a Philosopher. New York, Harcourt Brace Janovich, 1977. A. J. Ayer. Philosophy in the Twentieth Century. London, Unwinn, 1984. A. J. Ayer. A Defence of Empiricism. In A. P. Griffiths, editor, A.J. Ayer Memorial Essays, pages 1-16. Cambridge, Cambridge University Press, 1991. G. Bataille. Un-knowing and its Consequences. A. Michelson, translator, October, 36:80-85, 1986. G. Bataille. On Nietzsche. B. Boone, translator. London, Continuum, 2004. G. Bataille, I. Waldberg, & R. Lebel, editors, Encyclopaedia Acephalica. (I. White, D. Faccini, A. Michelson, J. Harman, A. Lykiard, et al., translators.) London, Atlas Press, 1995. I. Berlin. Review of My Philosophy (And other Essays on the Moral and Political Problems of our Time) by Benedetto Croce. Mind, 61(244):574-584, 1952. T. Carman. Continental Themes in Analytic Philosophy. In C. V. Boundas, editor, Columbia Companion to Twentieth-Century Philosophies, pages 351-366. New York, Columbia University Press, 2007. R. Carnap. The Elimination Of Metaphysics Through Logical Analysis of Language (A. Pap, translator). In A. J. Ayer, editor, Logical Positivism, pages 60-81. Glencoe, IL, The Free Press, 1959. J. Chase & J. Reynolds. Analytic versus Continental: Arguments on the Methods and Value of Philosophy. Durham, Acumen, 2010. S. Collini. Absent Minds: Intellectuals in Britain. Oxford: Oxford University Press, 2006. S. Critchley. Very Short Introduction to Continental Philosophy. Oxford, Oxford University Press, 2001. H. J. Dahms. Neue Sachlichkeit in the Architecture and Philosophy of the 1920s. In S. Awodey & C. Klein, editors, Carnap Brought Home: The View From Jena, pages 357-376. Chicago, Open Court, 2004. P. J. R. Dempsey. The Psychology of Sartre. Cork, Cork University Press,1950. V. Descombes. Modern French Philosophy. Cambridge, Cambridge University Press, 1980. B. Flynn. Merleau-Ponty. In E. N. Zalta, editor, The Stanford Encyclopedia of Philosophy, , 2004. M. Friedman. A Parting of the Ways: Carnap, Cassirer, and Heidegger. Chicago, Open Court, 2000. G. Gabriel. Carnap’s “Elimination of Metaphysics Through the Logical Analysis of Language:” A Retrospective Consideration of the Relationship between Continental and Analytic Philosophy. In P. Parrini, W. C. Salmon, & M. H. Salmon, editors, Logical Empiricism: Historical and Contemporary Perspectives, pages 30-42. Pittsburgh, University of Pittsburgh Press, 2003. P. Galison. Constructing Modernism: The Cultural Location of Aufbau. In R. N. Giere, A. Richardson, editors, Origins of Logical Empiricism, pages 17-44. Minneapolis, University of Minnesota, 1996. S. Glendinning. In the Name of Phenomenology. London, Routledge, 2007. Gary Gutting. Continental Philosophy of Science. Oxford, Blackwell, 2005. M. Hammond, J. Howarth, & R. Kent. Understanding Phenomenology. Oxford, Blackwell, 1995. M. Heidegger. Kant and the Problem of Metaphysics. R. Taft, translator. Bloomington: Indiana University Press, 1997. M. Heidegger. Pathmarks. W. MacNeil, editor. Cambridge, Cambridge University Press, 1998. J. M. Heimonet. Bataille and Sartre: The Modernity of Mysticism. Diacritics, 26(2):59-73, 1996. http://dx.doi.org/10.1353/dia.1996.0016 J. Himanka. Does the Earth Move?: A Search for a Dialogue Between Two Traditions of Contemporary Philosophy. The Philosophical Forum, 31(1):57-83, 2000. http://dx.doi.org/10.1111/0031-806X.00028 A. M. Hollywood. The Philosopher – Sartre – and Me. In Sensible Ecstasy: Mysticism, Sexual Difference and the Demands of History, pages 25-36. Chigago, University of Chicago Press, 2002. T. E. Hulme. A Note-Book. The New Age, 18(8):186-189, 1915. T. E. Hulme. A Note-Book. The New Age, 18(10):234-236, 1916. S. P. James. Merleau-Ponty, Metaphysical Realism and the Natural World. International Journal of Philosophical Studies, 15(4): 501-519, 2007. S. Käufer. Logic. In H. Dreyfus & M. Wrathall, editors, A Companion to Heidegger, pages 141-155. Oxford, Blackwell, 2005. E. W. Knight. Literature Considered as Philosophy: The French Example. New York, Macmillan, 1958. C. A. Mace. Review of The Psychology of Sartre by Peter J. R. Dempsey. Mind, 61(243):425-427, 1952. B. Magee. Men of Ideas: Some Creators of Contemporary Philosophy. Oxford, Oxford University Press, 1982. A. R. Manser. Sartre and "Le Néant." Philosophy, 36(137):177-187, 1961. http://dx.doi.org/10.1017/S0031819100058022 M. Martin. Sensible Appearances. In T. Baldwin, editor, The Cambridge History of Philosophy, 1870-1945, pages 521-532. Cambridge, Cambridge University Press, 2003. http://dx.doi.org/10.1017/CHOL9780521591041.044 PMid:14585038 F. Maubert. Francis Bacon, sa dernière interview: “Je poursois le peinture car je sais qu’il n’est pas possible de l’arreter.” Paris-Match, 2242:92-93, 1992. J. M. E. McTaggart. The Unreality of Time. Mind, 17:457-474, 1908. http://dx.doi.org/10.1093/mind/XVII.4.457 M. Merleau-Ponty. Phenomenology of Perception. C. Smith, translator. London, Routledge, 2002. M. Merleau-Ponty. Texts and Dialogues: On Philosophy, Politics, and Culture. H. J. Silverman, editor (M. B. Smith, et al., translators). New York: Humanity Books, 2005. M. Merleau-Ponty & T. Baldwin. Maurice Merleau-Ponty. London, Routledge, 2004. H. Meyerhoff. Emotive and Existentialist Theories of Ethics. The Journal of Philosophy, 48(25):769-783, 1951. http://dx.doi.org/10.2307/2021208 I. Murdoch. Sartre, Romantic Rationalist. Cambridge, Bowes and Bowes, 1953. I. Murdoch. The Idea of Perfection. In The Sovereignty of Good, pages 1-44. London, Routledge, 2001. A. Oliver. A Few More Remarks on Logical Form. Proceedings of the Aristotelian Society, 99:247-272, 1999. A. Plantinga. An Existentialist’s Ethics. Review of Metaphysics, 12(2):235-56, 1958. S. Priest. Merleau-Ponty. New York, Routledge, 2003. W. V. Quine. Word and Object. M.I.T. Press, Cambridge, MA, 1960. A. Quinton. Which Philosophy is Modernistic? In Thoughts and Thinkers, pages 39-51. New York, Holmes and Meier, 1982. J. Rée. English Philosophy in the Fifties. Radical Philosophy, 65:3-21, 1993. S. Richmond. Sartre and Bergson: A Disagreement about Nothingness. International Journal of Philosophical Studies, 15(1):77-95, 2007. http://dx.doi.org/10.1080/09672550601143201 B. Rogers. Ayer: A Life. New York, Grove Press, 2002. K. Romdenh-Romluc. Merleau-Ponty and Phenomenology of Perception. London, Routledge, 2009. G. E. Rosado Haddock. The Young Carnap’s Unknown Master: Husserl's Influence on Der Raum and Der logische Aufbau der Welt. Aldershot, Ashgate, 2008. B. Russell. Nightmares of Eminent Persons And Other Stories. London, The Bodley Head, 1954. G. Ryle, H. A. Hodges, & H. B. Acton. Symposium: Phenomenology. Proceedings of the Aristotelian Society, 11:68-115, 1932. G. Ryle. Phenomenology vs. The Concept of Mind. In Collected Papers: Critical Essays, Vol. 1, pages 179-196. London, Hutchinson, 1971. J. P. Sartre. Un nouveau mystique. In Critiques littéraires (Situations I), pages 174-229. Paris, Gallimard, 1975. J. Skorupski. The Presidential Address: The Legacy of Modernism. Proceedings of the Aristotelian Society, 91:1-19, 1990. A. Stone. Heidegger and Carnap on the Overcoming of Metaphysics. In S. Mulhall editor, Martin Heidegger, pages 217-244. Aldershot, Ashgate, 2006. M. Surya, K.Fijalkowski, & M. Richardson. Georges Bataille: An Intellectual Biography. K. Fijalkowski & M. Richardson, translators. London, Verso, 2002. C. Taylor, & Alfred J. Ayer. Symposium: Phenomenology and Linguistic Analysis. Proceedings of the Aristotelian Society, Supplementary Volumes, 33:93-124, 1959. N. Trakakis. Meta-philosophy of Religion: The Analytic-Continental Divide in Philosophy of Religion. Ars Disputandi, 7, 2007. J. Wahl. The Pluralist Philosophies of England and America. F. Rothwell, translator. London, The Open Court Company, 1925. J. Wahl. Vers le Concret. Paris, Vrin, 1932. J. Wahl. Nietzsche et la mort de dieu: note a propos du “Nietzsche” de Jaspers. Acéphale, 2:22-24, 1937. I. Waldberg & Patrick Waldberg. Un Amour Acéphale, Correspondence 1940-49. Paris, Editions de la Différence, 1992. M. Warnock. The Philosophy of Sartre. London, Hutchinson, 1965. D. Wiggins. Truth, Invention, and the Meaning of Life. In G. Sayre-McCord, editor, Essays on Moral Realism, pages 127-65. Ithaca, Cornell University Press, 1988. C. Wilson. The Outsider. London, Gollancz, 1956. D. Zahavi. Phenomenology and Metaphysics. In D. Zahavi, S. Heinämaa, & H. Ruin, editors, Metaphysics, Facticity, Interpretation: Phenomenology in the Nordic Countries, pages 3-22. Dordrecht, Kluwer, 2003. (shrink)
∗A special thanks to those who have assisted my archival research, including Aldo Antonelli, John Burgess, Michael Della Rocca, Herbert Enderton, Bernard Linsky, Heidi Lockwood, Ruth Barcan Marcus, Julien Murzi and Bas van Fraassen. An extra special thanks to Julien Murzi, who as my research assistant in the Fall of 2005 helped me to identify and think more clearly about the famous anonymous referee reports, which are central to the present paper. For discussion and/or assistance I am also grateful to (...) many others, including Scott Berman, Berit Brogaard, Judy Crane, Susan Brower- Toland, David Chalmers, Solomon Feferman, Nick Griffin, Michael Hand, Monte Johnson, Jon Kvanvig, Matthias Lutz-Bachmann, Robert Meyer, Andreas Niederberger, Gualtiero Piccinini, Graham Priest, Krister Segerberg, Wilfried Sieg, Roy Sorensen, Kent Staley, Jim Stone, Neil Tennant, Achille Varzi, Nick Zavediuk, anonymous readers for OUP, and audience members at the Pacific APA in Portland (March 24, 2006), the Goethe University of Frankfurt (May 15, 2006), the Institute for Logic, Language and Computation at the University of Amsterdam (May 23, 2006), and the Namicona Epistemology Workshop, at the University of Copenhagen (August 22, 2006). Thanks also to my department at Saint Louis University for granting time and resources to research and write the paper. (shrink)
Let A be an algebra. We say that the functions f 1 , . . . , f m : A n → A are algebraic on A provided there is a finite system of term-equalities $${{\bigwedge t_{k}(\overline{x}, \overline{z}) = s_{k}(\overline{x}, \overline{z})}}$$ satisfying that for each $${{\overline{a} \in A^{n}}}$$, the m -tuple $${{(f_{1}(\overline{a}), \ldots , f_{m}(\overline{a}))}}$$ is the unique solution in A m to the system $${{\bigwedge t_{k}(\overline{a}, \overline{z}) = s_{k}(\overline{a}, \overline{z})}}$$. In this work we present a collection of general (...) tools for the study of algebraic functions, and apply them to obtain characterizations for algebraic functions on distributive lattices, Stone algebras, finite abelian groups and vector spaces, among other well known algebraic structures. (shrink)
The longstanding interest in business ethics has been given renewed emphasis by high profile scandals in the world of business and finance. At the same time, many economists--dissatisfied with the discipline's emphasis on self-interest and individualism and by the asocial nature of much economic theory--have sought to englarge the scope of economics by looking at ethical questions. In Ethics and Economic Affairs a group of interdisciplinary scholars provide contributions on international interest in this aspect of socio-economics and economic-psychology. The book (...) is divided into four parts. The first looks at Business Ethics and Management. Part Two enlivens the debate with empirical data. The third part examines the implications for economic theory and asks if the integration of ethics in the economy is possible or if they are fundamentally different systems. Part Four introduces perspectives from other disciplines, sets economics within its wider context and looks to the future. The editors have brought together a group of contributors from nine different countries and a broad range of disciplines, including: Norman E. Bowie, Monroe Burk, Amitai Etzioni, Richard H. Guerette, Ralph E. Miner, Lynne M. Rosansky, N. Craig Smith, Roberts Stallaerts, Philip Stone and John Tomer. (shrink)
It has become a standard view in the philosophy of science scholarship (e.g., van Fraassen [1989]) that debates on the problem of laws of nature and/or scientific laws employ pre-Kantian approaches to the subject in question. But what exactly a Kantian approach might look like and, above all, what Kant endorses on this matter are not entirely settled issues. In particular, this regards Kant’s argument on the problem of ’necessity grounding’ with respect to different types of the so-called “empirical laws (...) of nature” (empirische Naturgesetze) in the third Critique. In order to assess the aforementioned problem, in this paper I will address the following questions:1) What is Kant’s main nomological criterion or a combination of criteria, that is, the criterion/criteria according to which we can explicate the distinction between laws of nature and accidentally true statements?2) What exactly is the role of an apriori law of nature, such as the one instantiated by the Second Analogy of Experience, in considering nature as a lawful existence of objects?3) On what grounds can a statement describing a particular causal regularity, for example, the statement “the sun warms the stone” (Prolegomena, N 301), be viewed as an empirical law of nature?4) Is Kant’s systematicity a nomological criterion in the strict and standard sense or, rather, is it a certain kind of transcendental criterion, which not only makes the whole of Kant’s nomological machinery up and running, but also has decisive influence on the final arrangement of nomological criteria? (shrink)
Stone, J. Thoughts on supposed "Death of law".--Krishna Iyer, V. R. Jurisprudence and jurisconscience.--Sharma, G. S. Law and social change in India.--Sharma, S. D. The concept of justice in Manu.--Chand, H. Legal values for a developing country.--Ramarao, T. S. The new international law relating to the rights and duties of States.--Sinha, B. S. Custom and customary law in Indian jurisprudence.--Mazumdar, D. L. Techno-economic structure of our industrial society.--Subrahamanian, N. Law and social change.
n a 25-year career as a successful public intellectual, Stephen Jay Gould has accrued nearly all the trappings of celebrity: a new loft in SoHo, tenure at Harvard, a gig at NYU, book sales totaling in the millions (his twentieth title, The Lying Stones of Marrak ech, comes out next month), not to mention a schedule that takes him to London, Paris, or L.A. almost weekly. Not bad for a college professor. But recently, he's picked up one of the less (...) desirable accoutrements of fame. The graying, 58-year-old Queens native has become the first paleontologist in history with his own stalker—albeit an intellectual one. (shrink)
Machine generated contents note: Introduction; 1. Antiochus' biography Myrto Hatzimichali; 2. Antiochus and the Academy Roberto Polito; 3. Antiochus and Asclepiades: medical and philosophical sectarianism at the end of the Hellenistic era Rebecca Flemming; 4. Antiochus as historian of philosophy David Sedley; 5. Antiochus' epistemology Charles Brittain; 6. Antiochus on contemplation and the happy life Georgia Tsouni; 7. Antiochus, Aristotle, and the Stoics on degrees of happiness T. H. Irwin; 8. Antiochus on social virtue Malcolm Schofield; 9. Antiochus on physics (...) Brad Inwood; 10. Antiochus' metaphysics G. R. Boys-Stones; 11. The neutralizing argument: Carneades, Antiochus, Cicero Malcolm Schofield; 12. Varro and Antiochus David Blank; 13. Other followers of Antiochus Carlos Le;vy; 14. Antiochus and Platonism Mauro Bonazzi; Appendix: a guide to the testimonies for Antiochus David Sedley; Bibliography. (shrink)