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97Undecidability in anti-realismPhilosophia Mathematica 6 (3): 324-333. 1998.In this paper I attempt to clarify a relatively little-studied aspect of Michael Dummett's argument for intuitionism: its use of the notion of ‘undecidable’ sentence. I give a new analysis of this concept in epistemic terms, with which I resolve some puzzles and questions about how it works in the anti-realist critique of classical logic.
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19Reason’s Nearest Kin (review)Philosophical Review 111 (3): 442-447. 2002.This book is a study of the philosophy of arithmetic in one of the most significant periods of its history—from Frege to Carnap—prefaced by an account of Kant. Potter aims at a philosophical history, a story told from an explicit interpretative perspective. These theories of arithmetic are seen as attempts to account for its “source of content” and “source of concepts.” Potter never explains these terms; I take the former to be the thing that, when we have knowledge of it or insight into it, pro…Read more
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46Frege’s Philosophy of Mathematics (review)Philosophical Review 106 (2): 275. 1997.The days when Frege was more footnoted than read are now long gone; still, until very recently he has been read rather selectively. No doubt many had an inkling that there’s more to Frege than the sense/reference distinction; but few, one suspects, thought that his philosophy of mathematics was as fertile and intriguing as the present collection demonstrates. Perhaps, as Paul Benacerraf’s essay in this collection suggests, logical positivism should be held partly responsible for the neglect of t…Read more
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1Some Senses of Holism: An Anti-Realist's Guide to QuineIn Richard G. Heck (ed.), Language, Thought, and Logic: Essays in Honour of Michael Dummett, Oxford University Press. 1997.
Middletown, Connecticut, United States of America
Areas of Interest
Metaphysics |
Logic and Philosophy of Logic |
Philosophy of Mathematics |