Online research in philosophy

Interactive technology assessment (iTA) provides an answer to the ethical problem of normative bias in evaluation research. This normative bias develops when relevant perspectives on the evaluand (the thing being evaluated) are neglected. In iTA this bias is overcome by incorporating different perspectives into the assessment. As a consequence, justification of decisions based on the assessment is provided by stakeholders having achieved agreement. In this article, agreement is identified with wide reflective equilibrium to show that it indeed has the potential (...) of justifying decisions. We work out several conditions for this agreement to be achievable and just. (shrink)

Metaphysics and language: Quine, W. V. O. On the individuation of attributes. Körner, S. On some relations between logic and metaphysics. Marcus, R. B. Does the principle of substitutivity rest on a mistake? Van Fraassen, B. C. Platonism's pyrrhic victory. Martin, R. M. On some prepositional relations. Kearns, J. T. Sentences and propositions.--Basic and combinatorial logic: Orgass, R. J. Extended basic logic and ordinal numbers. Curry, H. B. Representation of Markov algorithms by combinators.--Implication and consistency: Anderson, A. R. Fitch on (...) consistency. Belnap, N. D., Jr. Grammatical propaedeutic. Thomason, R. H. Decidability in the logic of conditionals. Myhill, J. Levels of implication.--Deontic, epistemic, and erotetic logic: Bacon, J. Belief as relative knowledge. Wu, K. J. Believing and disbelieving. Kordig, C. R. Relativized deontic modalities. Harrah, D. A system for erotetic sentences. (shrink)

Insight, by F. H. Parker.--Why be uncritical about the life-world? By H. B. Veatch.--Homage to Saint Anselm, by R. Jordan.--Art and philosophy, by J. M. Anderson.--The phenomenon of world, by R. R. Ehman.--The life-world and its historical horizon, by C. O. Schrag.--The Lebenswelt as ground and as Leib in Husserl: somatology, psychology, sociology, by E. Paci.--Life-world and structures, by C. A. van Peursen.--The miser, by E. W. Straus.--Monetary value and personal value, by G. Schrader.--Individualisms, by W. L. McBride.--Sartre the individualist, (...) by W. Desan.--The nature of social man, by M. Natanson.--The problem of the will and philosophical discourse, by P. Ricoeur.--Structuralism and humanism, by M. Dufrenne.--The illusion of monolinear time, by N. Lawrence.--Can grammar be thought? By J. M. Edie.--The existentialist critique of objectivity, by S. J. Todes and H. L. Dreyfus.--Bibliography (p. 391-400). (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)

Our world is a world of change. Children are born and grow into adults. Material possessions rust and decay with age and ultimately perish. Yet scepticism about change is as old as philosophy itself. Heraclitus, for example, argued that nothing could survive the replacement of parts, so that it is impossible to step into the same river twice. Zeno argued that motion is paradoxical, so that nothing can alter its location. Parmenides and his followers went even further, arguing that the (...) very concept of qualitative change is inconsistent. Change in any respect is impossible, they argued, as change requires difference and nothing differs from itself. Few today would accept the Eleatic conclusion that change is impossible. But the topic of change continues to be a source of much debate, as it brings together various issues that are central to metaphysics, language, and logic – including identity, persistence, time, tense, and temporal logic. Author Recommends Wasserman, Ryan. 'The Problem of Change.' Philosophy Compass 1 (2006): 1–10. This article presents the problem of change and provides a brief survey of potential solutions. Haslanger, Sally. 'Persistence Through Time.' The Oxford Handbook of Metaphysics . Eds. M. Loux and D. Zimmerman. Oxford: Oxford University Press, 2003. This article presents the problem of change and provides a detailed survey of potential solutions. Heller, Mark. 'Things Change.' Philosophy and Phenomenological Research 52 (1992): 695–704. This article presents, explains, and defends the temporal parts solution to the problem of change. Hinchliff, Mark. 'The Puzzle of Change.' Philosophical Perspectives 10 (1996): 119–36. This article presents, explains, and defends the presentist solution to the problem of change. Wasserman, Ryan. 'The Argument from Temporary Intrinsics.' Australasian Journal of Philosophy 81 (2003): 413–19. This article presents, explains, and defends the relationist solution to the problem of change. Sider, Theodore. Four-Dimensionalism . Oxford: Oxford University Press, 2001. This book provides an introduction to various issues related to the problem of change, including the nature of time, tense, and persistence. Chapter 5 presents, explains, and defends the stage-view solution to the problem of change. Online Materials Change. URL: http://plato.stanford.edu/entries/change/ The Stanford Encyclopedia of Philosophy entry on change, by Chris Mortensen. Time. URL: http://plato.stanford.edu/entries/time/ The Stanford Encyclopedia of Philosophy entry on time, by Ned Markosian. Temporal Parts. URL: http://plato.stanford.edu/entries/temporal-parts/ The Stanford Encyclopedia of Philosophy entry on temporal parts, by Katherine Hawley. Material Constitution. URL: http://plato.stanford.edu/entries/material-constitution/ The Stanford Encyclopedia of Philosophy entry on material constitution, by Ryan Wasserman. Persistence Bibliography. URL: http://tedsider.org/teaching/pp_bibliography.pdf A bibliography on change and related issues, by Theodore Sider. Sample Syllabus Books on Syllabus Rea, Michael. Material Constitution: A Reader . Lanham: Rowman & Littlefield, 1997. Sider, Theodore. Four-Dimensionalism . Oxford: Oxford University Press, 2001. van Inwagen, P. and Zimmerman, D. 2008. Metaphysics: The Big Questions . 2nd ed. Oxford: Blackwell, 2008. Week 1: Time and Tense Four-Dimensionalism , chapters 1 and 2. Markosian, Ned. 'A Defence of Presentism.' Oxford Studies in Metaphysics, Volume 1. Ed. D. Zimmerman. Oxford: Oxford University Press, 2004: 47–82. In van Inwagen, P. and Zimmerman, D. Metaphysics: The Big Questions. 2nd ed. Oxford: Blackwell, 2008: 116-123. In van Inwagen, P. and Zimmerman, D. Metaphysics: The Big Questions. 2nd ed. Oxford: Blackwell, 2008: 124-129. Week 2: Time and Persistence Four-Dimensionalism , chapter 3. McGrath, Matthew. 'Temporal Parts.' Philosophy Compass 2 (2007): 730–48. In van Inwagen, P. and Zimmerman, D. Metaphysics: The Big Questions. 2nd ed. Oxford: Blackwell, 2008: 265-267. Hawthorne, J, Scala, M., and Wasserman, R. 'Recombination, Humean Supervenience, and Causal Constraints: An Argument for Temporal Parts?' Oxford Studies in Metaphysics , Volume 1. Ed. D. Zimmerman, Oxford: Oxford University Press, 2004: 301-318. Week 3: Change and Presentism In van Inwagen, P. and Zimmerman, D. Metaphysics: The Big Questions. 2nd ed. Oxford: Blackwell, 2008: 141-149. In van Inwagen, P. and Zimmerman, D. Metaphysics: The Big Questions. 2nd ed. Oxford: Blackwell, 2008: 267-269. In van Inwagen, P. and Zimmerman, D. Metaphysics: The Big Questions. 2nd ed. Oxford: Blackwell, 2008: 269-281. Week 4: Change and Temporal Parts Four-Dimensionalism , pp. 92–8. Heller, Mark. 'Things Change.' Philosophy and Phenomenological Research 52 (1992): 695–704. Lombard, Lawrence. 'The Doctrine of Temporal Parts and the "No Change" Objection.' Philosophy and Phenomenological Research 54 (1994): 365–72. Week 5: Change, Relationism, and Adverbialism Hawley, Katherine. 'Why Temporary Properties are not Relations between Physical Objects and Times.' Proceedings of the Aristotelian Society 98 (1998): 211–16. Wasserman, Ryan. 'The Argument from Temporary Intrinsics.' Australasian Journal of Philosophy 81 (2003): 413–19. Lewis, David. 'Tensing the Copula.' Mind 111 (2002): 1–13. Caplan, Ben. 'Why so Tense about the Copula?' Mind 114 (2007): 703–8. Week 6: Change and Tropes Ehring, Douglas. 'Lewis, Temporary Intrinsics and Momentary Tropes.' Analysis 57 (1997): 254–8. MacBride, Fraser. 'Four New Ways to Change Your Shape.' Australasian Journal of Philosophy 79 (2001): 81–9. Simons, Peter. 'On Being Spread Out in Time: Temporal Parts and the Problem of Change.' Existence and Explanation . Eds. W. Spohn, B.C. van Fraassen, and B. Skyrms. Dordrecht: Kluwer, 1991: 131-147. Weeks 7 and 8: Special Topic – Material Change Four-Dimensionalism , chapter 5. Selections from Material Constitution: A Reader. Week 9: Special Topic – Change of Position In van Inwagen, P. and Zimmerman, D. Metaphysics: The Big Questions. 2nd ed. Oxford: Blackwell, 2008: 186-195. In van Inwagen, P. and Zimmerman, D. Metaphysics: The Big Questions. 2nd ed. Oxford: Blackwell, 2008: 195-215. Week 10: Special topic – Changing the Past In van Inwagen, P. and Zimmerman, D. Metaphysics: The Big Questions. 2nd ed. Oxford: Blackwell, 2008: 224-235. van Iwagen, Peter. 'Changing the Past.' Oxford Studies in Metaphysics , Volume 5 . Ed. D. Zimmerman. Oxford: Oxford University Press, 2009: 1-22. Hudson, H. and Wasserman, R. 'Van Inwagen on Time Travel and Changing the Past.' Oxford Studies in Metaphysics , Volume 5. Ed. D. Zimmerman. Oxford: Oxford University Press, 2009: 41-49. (shrink)

MEDIEVAL LOGICS LAMBERT MARIE DE RIJK (ed.), Die mittelalterlichen Traktate De mod0 opponendiet respondendi, Einleitung und Ausgabe der einschlagigen Texte. (Beitrage zur Geschichte der Philosophie und Theologie des Mittelalters, Neue Folge Band 17.) Miinster: Aschendorff, 1980. 379 pp. No price stated. THE SEVENTEENTH CENTURY MARTA FATTORI, Lessico del Novum Organum di Francesco Bacone. Rome: Edizioni dell'Ateneo 1980. Two volumes, il + 543, 520 pp. Lire 65.000. VIVIAN SALMON, The study of language in 17th century England. (Amsterdam Studies in the Theory (...) and History of Linguistic Science, Series 111: Studies in theHistory of Linguistics, Volume 17.) Amsterdam: John Benjamins B.V., 1979.x + 218 pp. Dfl. 65. Theoria cum Praxi. Zum Verhaltnis von Theorie und Praxis im 17. und 18. Jahrhundert. (Akten des 111. Internationalen Leibnizkongress, Hannover, 12. bis 17.November 1977, Band 111: Logik, Erkenntnistheorie, Wissenschaftstheorie, Metaphysik, Theologie.) Wiesbaden: Franz Steiner Verlag, 1980. vii + 269 pp. DM 48. CLASSICAL AND NON-CLASSICAL LOGICS MICHAEL CLARK, The place of syllogistic in logical theory. Nottingham: University of Nottingham Press, 1980. ix + 151 pp. £3.00. A.F. PARKER-RHODES, The theory of indistinguishables. Dordrecht, Boston and London: D. Reidel Publishing Company, 1981. xvii + 216 pp. Dfl.90.00/$39.50. NICHOLAS RESCHER and ROBERT BRANDOM, The logic of inconsistency. Oxford:Basil Blackwell, 1980. x + 174 pp. f 11.50. MISCELLANEOUS J. ZELENY, The logic of Marx. Translated from the German by T. Carver. Oxford: Basil Blackwell, 1980. xcii + 247 pp. £12.50. FELIX KAUFMANN, The infinite in mathematics. Edited by Brian McGuinness. Introduction by E. Nagel. Translation from the German by Paul Foulkes. Dordrecht: Reidel, 1978. xvii + 235 pp. Dfl 85/$39.50 (cloth); Dfl 45/$19.95 (paper). PAMELA MCCORDUCK, Machines who think. San Francisco: W.H. Freeman and Company, 1979. xiv + 275 pp. $14.95. J. MITTELSTRASS (ed.), Enzyklopadie Philosophie und Wissenschaftstheorie Bd. 1 : A-G. Mannheim, Wien, Ziirich: Bibliographisches Institut, 1980. 835 pp. DM 128. (shrink)

Three clusters of philosophically significant issues arise from Frege's discussions of definitions. First, Frege criticizes the definitions of mathematicians of his day, especially those of Weierstrass and Hilbert. Second, central to Frege's philosophical discussion and technical execution of logicism is the so-called Hume's Principle, considered in The Foundations of Arithmetic . Some varieties of neo-Fregean logicism are based on taking this principle as a contextual definition of the operator 'the number of …', and criticisms of such neo-Fregean programs sometimes appeal (...) to Frege's objections to contextual definitions in later writings. Finally, a critical question about the definitions on which Frege's proofs of the laws of arithmetic depend is whether the logical structures of the definientia reflect our pre-Fregean understanding of arithmetical terms. It seems that unless they do, it is unclear how Frege's proofs demonstrate the analyticity of the arithmetic in use before logicism. Yet, especially in late writings, Frege characterizes the definitions as arbitrary stipulations of the senses or references of expressions unrelated to pre-definitional understanding. One or more of these topics may be studied in a survey course in the philosophy of mathematics or a course on Frege's philosophy. The latter two topics are obviously central in a seminar in the philosophy of mathematics in general or more specialized seminars on logicism, or on mathematical definitions and concept formation. Author Recommends: 1. Kant, Immanuel. Critique of Pure Reason . Trans. P. Guyer and A. Wood. Cambridge: Cambridge University Press, 1999 [1781, 1787], A7-10/B11-14, A151/B190. In the first Critique , Kant appears to give four distinct accounts of analytic judgments. The initial famous account explains analyticity in terms of the predicate-concept belonging to the subject-concept (A6–7/B11). In this passage, we also find an account of establishing analytic judgments on the basis of conceptual containments and the principle of non-contradiction. (The other accounts are in terms of 'identity' (A7/B1l), in terms of the explicative–ampliative contrast (A7/B11), and by reference to the notion of 'cognizability in accordance with the principle of contradiction' (A151/B190).) 2. Frege, Gottlob. The Foundations of Arithmetic . Trans. J. L. Austin. 2nd ed. Evanston, IL: Northwestern University Press, 1980 [1884], especially sections 1–4, 87–91. Frege here criticizes and reformulates Kant's account of analyticity. Central to Frege's account is the provability of an analytic statement on the basis of (Frege's) logic and definitions that express analyses of (mathematical, especially arithmetical) concepts. 3. Frege, Gottlob. Review of E. G. Husserl. 'Philosophie der Arithmetik I [1894],' in Frege, Collected Papers . Ed. B. McGuinness. Trans. M. Black et al. Oxford: Blackwell, 1984. 195–209. In this review, Frege responds to Husserl's charge that Frege's definitions fail to capture our intuitive pre-analytic arithmetical concepts by claiming that the adequacy of mathematical definitions is measured, not by their expressing the same senses, but merely by their having the same references, as pre-definitional vocabulary. It follows not only that Husserl's criticism is unfounded, but also that there can be alternative, equally legitimate, definitions of mathematical terms. 4. Frege, 'Logic in Mathematics,' in Frege, Posthumous Writings . Trans. P. Long and R. White. Oxford: Blackwell, 1979 [1914]. 203–50. These are a set of lecture notes including, among other things, an account of proper definitions as mere abbreviation of complex signs by simple ones, in contrast to definitions which purport to express the analyses of existing concepts. Frege here claims that if there is any doubt whether a definition purporting to express an analysis succeeds in capturing the senses of the pre-definitional expressions, then the definition fails as an analysis, and should be regarded as the introduction of an entirely new expression abbreviating the definiens . 5. Picardi, Eva. 'Frege on Definition and Logical Proof,' Temi e Prospettive della Logica e della Filosofia della Scienza Contemporanee . i vol. Eds. C. Cellucci and G. Sambin. Bologna: Cooperativa Libraria Universitaria Editrice Bologna, 1988. 227–30. Picardi sets out forcefully the view that unless Frege's definitions capture the meanings of existing arithmetical terms, his logicism cannot have the epistemological significance he takes it to have. 6. Dummett, Michael. 'Frege and the Paradox of Analysis,' in Dummett, Frege and other Philosophers . Oxford: Oxford University Press, 1991. 17–52. Dummett agrees with Picardi's view and analyzes the philosophical pressures that led Frege to the account of definition in 'Logic in Mathematics.' Especially significant is Dummett's claim of the centrality of the transparency of sense – that if one grasps the senses of any two expressions, one must know whether they have the same sense – in Frege's account. 7. Benacerraf, Paul. 'Frege: The Last Logicist,' Midwest Studies in Philosophy . vol. 6. Eds. P. French, T. Uehling, and H. Wettstein. Minneapolis: University of Minnesota Press, 1981. 17–35. Frege's aims, on Benacerraf's reading, are primarily mathematical. Frege was interested in traditional philosophical issues such as the analyticity of arithmetic only to the extent that they can be exploited for the mathematical goal of proving previously unproven arithmetical statements. Hence, Frege never had any serious interest in or need for showing that his definitions of arithmetical terms reflect existing arithmetical conceptions. 8. Weiner, Joan. 'The Philosopher Behind the Last Logicist,' in Frege: Tradition and Influence . Ed. C. Wright. Oxford: Blackwell, 1984. 57–79. Weiner argues that on Frege's view, prior to his definitions of arithmetical terms the references of such expressions are in fact not known by those who use arithmetical vocabulary. Thus, in Foundations , Frege operated with a 'hidden agenda' (263) namely, replacing existing arithmetic with a new science based on stipulative definitions that assign new senses to key arithmetical terms. 9. Tappenden, Jamie. 'Extending Knowledge and 'Fruitful Concepts': Fregean Themes in the Foundations of Mathematics.' Noûs 29 (1995): 427–67. Tappenden argues that Frege takes his crucial innovation over previous practices and accounts of mathematical concept formation to be the role of quantificational structure made possible by his logical discoveries. 10. Horty, John. Frege on Definitions: A Case Study of Semantic Content . Oxford: Oxford University Press, 2007. A useful interpretation of Frege's views of definition, together with suggestive extensions for resolving the issues framing Frege's views. 11. Shieh, Sanford. 'Frege on Definitions,' Philosophy Compass 3/5 (2008): 992–1012. A more detailed account of Frege's views on definition and the philosophical issues they raise, surveying and discussing critically the main substantive and interpretive issues. Online Materials On Frege http://plato.stanford.edu/entries/frege/ On the Paradox of Analysis http://plato.stanford.edu/entries/analysis/ Sample Syllabus The following is a 3-week module that can be incorporated into fairly focused historically oriented graduate-level seminars on logicism or on the paradox of analysis. It is also possible to compress the material into 2 weeks in an undergraduate or graduate class Frege's thought in general. Week I: Background, Kant on Analyticity; Definition in Foundations , Review of Husserl, and 'Logic in Mathematics' Readings Kant, Immanuel. Critique of Pure Reason , A7–10/B11–14. Frege, Gottlob. The Foundations of Arithmetic , sections 1–4, 87–91. Frege, Gottlob. Review of E. G. Husserl, Philosophie der Arithmetik I. Frege, Gottlob. 'Logic in Mathematics.' Optional Proops, Ian. 'Kant's Conception of Analytic Judgment,' Philosophy and Phenomenological Research LXX, 3 (2005): 588–612. Week II: The Supposed Paradox of Analysis, Picardi and Dummett; Bypassing Traditional Epistemological Issues About Mathematics, Benacerraf Readings Picardi, Eva. 'Frege on Definition and Logical Proof.' Dummett, Michael. 'Frege and the Paradox of Analysis.' Benacerraf, Paul. 'Frege: The Last Logicist.' Optional Tappenden, Jamie. 'Extending Knowledge and 'Fruitful Concepts': Fregean Themes in the Foundations of Mathematics.' Week III: Weiner's Hidden Agenda Interpretation Readings Weiner, Joan. 'The Philosopher Behind the Last Logicist.' Optional Weiner, Joan. Frege in Perspective . Ithaca, NY: Cornell University Press, 1990. Focus Questions 1. To what extent is Frege's account of analyticity in Foundations a rejection, and to what extent an updating, of Kant's view of analyticity? 2. According to Picardi it 'would be incomprehensible' how Frege's proofs tells us anything about the arithmetic we already have unless his 'definitions [are] somehow responsible to the meaning of [arithmetical] sentences as these are understood' (228). Why does she hold this? Why does Dummett agree with her? Do you think Frege's logicism needs to address this worry? 3. What are the major differences and continuities in Frege's discussions of definition in mathematics in Foundations , the review of Husserl and 'Logic in Mathematics'? 4. Frege writes that definitions must prove their worth by being fruitful. He also says that nothing can be proven using a proper definition that cannot be proven without it. Are these claims consistent? Why or why not? 5. Weiner held that in Foundations Frege had 'hidden agenda.' What, according to her, is this agenda? How does this fit with Frege's later views of definition? 6. What are Frege's main complaints about Weierstrass's definitions in 'Logic in Mathematics'? Are these criticisms consistent with Frege's account of 'definition proper' in the same text? Seminar/Project Ideas What, if anything, is the relation between Frege's critique of Hilbert's use of definitions and Frege's later views of definitions? (shrink)

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