Analyticity, Truthmaking and Mathematics
- 1 Telegraph Rd. Pymble, NSW, Australia
Abstract
Whereas for many truths, truthmaker theory offers a plausible account, there are certain kinds of truths for which the theory seems less helpful: principally (though not exclusively) analytic truths. I argue that an augmentation of the usual idea of truthmakers can solve this problem. Moreover that once solved we are able to look afresh at the nature of mathematics, whether conceived as analytic or synthetic, necessary or contingent, and reduce the ontological options. I also argue that it was Quine’s reformulation of analyticity, deployed in place of the correct Leibniz-Wolff-Kant account, which led to his holistic account of knowledge and pragmatist account of scientific revisability.
- Armstrong D. M. (1997). A World of States of Affairs. Cambridge: Cambridge University Press. https://doi.org/10.1017/CBO9780511583308
- Armstrong, D. M. (2004). Truth and Truthmakers. Cambridge: Cambridge University Press. https://doi.org/10.1017/CBO9780511487552
- Barnes, J. (Ed.) (1984). The Complete Works of Aristotle Vol. I. Bollingen Series, Princeton, N.J.: Princeton University Press.
- Boghossian, P. A. (1996). Analyticity Reconsidered. Noûs, 30, 360-391. https://doi.org/10.2307/2216275
- Boghossian, P., & Peacocke, C., Eds. (2000). New Essays on the A Priori. Oxford: Oxford University Press. https://doi.org/10.1093/0199241279.001.0001
- Harman, G. (1996). Analyticity Regained. Noûs, 30, 392-400. https://doi.org/10.2307/2216276
- Harte, V. (2002). Plato on Parts and Wholes. The Metaphysics of Structure, New York: Oxford University Press. https://doi.org/10.1093/0198236751.001.0001
- Heathcote, A. (2003). Truthmakers and the Alleged Need for Relevance, Logique et Analyse, 46, nos 183-184, September-December 2003, pp. 345-364.
- Heathcote, A. (2006). Truthmaking and the Gettier Problem. In S. Hetherington (Ed.), Aspects of Knowing: Epistemological Essays (Ch. 10, pp. 151-167). Amsterdam: Elsevier.
- Heathcote, A. (2012). Gettier and the Stopped Clock Analysis, 72, 2, April, 2012, pp. 309-314.
- Heathcote A. ,et al. (2014). Truthmaking, Evidence Of, and Impossibility Proofs Acta Analytica 29, 363-375.
- Hume (1772). David Hume: An Enquiry Concerning Human Understanding. In T. L. Beauchamp (Ed.), The Clarendon Edition of the Works of David Hume. Oxford.
- Kant, I. (1781). Critique of Pure Reason (trans. Norman Kemp Smith, 1929). London: Macmillan.
- Katz J. J. ,et al. (1974)Where Things Now Stand with the Analytic-Synthetic Distinction Synthese 28, 283-319.
- Katz J. J. ,et al. (1997). Analyticity, Necessity, and the Epistemology of Semantics Philosophy and Phenomenological Research 57, 1-28.
- Kneale, W., & Kneale, M. (1962). The Development of Logic. Oxford: Clarendon Press.
- Leibniz, G. W. (1989). Philosophical Essays. Indianapolis and Cambridge: Hackett.
- Martin, R. M. (1952). On “Analytic”. Philosophical Studies, 3, 42-47. https://doi.org/10.1007/BF02333167