Abstract
The intuitionistic conception of truth defended by Dummett, Martin Löf and Prawitz, according to which the notion of proof is conceptually prior1 to the notion of truth, is a particular version of the epistemic conception of truth. The paradox of knowability (first published by Frederic Fitch in 1963) has been described by many authors2 as an argument which threatens the epistemic, and the intuitionistic, conception of truth. In order to establish whether this is really so, one has to understand what the epistemic conception of truth really is. So I shall start inpart I with a description of the matter at issue between theepistemic conception of truth and the opposite position, therealistic conception of truth. Inpart II I shall very briefly describe the paradox. Inpart III I shall try to answer the question which appears in the title of this paper: “What can we learn from the paradox of knowability?”. My conclusion will be that the paradox of knowability is not a refutation of the epistemic conception of truth, but helps us to better formulate (and understand) such a view.
Similar content being viewed by others
References
Cozzo, C.: 1993, ‘Another Solution of the Paradox of Knowability’, in Czermak (ed.),Philosophy of Mathematics (Proceedings of the 15th Wittgenstein Symposium, Part I), Hölder-Pichler-Tempsky, Wien.
Dummett, M.: 1977,Elements of Intuitionism, O.U.P., Oxford.
Dummett, M.: 1982, ‘Realism’,Synthese 52, 55–112.
Edgington, D.: 1987, ‘The Paradox of Knowability’,Mind 94.
Fitch, F. B.: 1963, ‘A Logical Analysis of Some Value Concepts’,Journal of Symbolic Logic 28.
Goldman, A.: 1986,Epistemology and Cognition, H.U.P., Cambridge, Mass.
Hart, W. D.: 1979, ‘The Epistemology of Abstract Objects’,Aristotelian Society. Supplementary Volume 53.
Makie, J. L.: ‘Truth and Knowability’,Analysis 40, 1980.
Martin Löf, P.: ‘A Path from Logic to Metaphysics’, inAtti del Congresso Nuovi problemi della logica e della filosofia della scienza-Viareggio, 8–13 Gennaio 1990, CLUEB, Bologna 1991.
Percival, P.: 1990, ‘Fitch and Intuitionistic Knowability’,Analysis 50.
Percival, P.: 1991, ‘Knowability, Actuality and the Metaphysics of Context-Dependence’,Australasian Journal of Philosophy 69.
Prawitz, D.: 1980, ‘Intuitionistic logic: a philosophical challenge‘, in von Wright (ed.),Logic and Philosophy, Nijhoff, The Hague.
Prawitz, D.: 1987, ‘Dummett on a Theory of Meaning and its Impact on Logic’, in Taylor, B. (ed.),Michael Dummett: Contributions to Philosophy, Nijhoff, Dordrecht, pp. 117–165.
Putnam, H.: 1981,Reason, Truth and History, C.U.P., Cambridge.
Stjernberg, F.: 1994, ‘Verification Vindicated? The Paradox of Knowability Revisited’, forthcoming inAtti del Convegno SILFS di Lucca, ETS, Pisa.
Williamson, T.: 1982, ‘Intuitionism Disproved?’,Analysis 42.
Williamson, T.: 1987, ‘On the Paradox of Knowability’,Mind 96.
Rights and permissions
About this article
Cite this article
Cozzo, C. What can we learn from the paradox of knowability?. Topoi 13, 71–78 (1994). https://doi.org/10.1007/BF00763505
Issue Date:
DOI: https://doi.org/10.1007/BF00763505