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Michael Potter is Professor of Logic in the Philosophy Faculty at Cambridge University. in pure mathematics and was a Fellow of Balliol College.
He has been a Fellow of Fitzwilliam College since 1989. He spent periods of research leave in the Department of Logic and Metaphysics at St Andrews and the Department of Philosophy at Harvard.
Now the distinction between what can be said and what can only be shown arises as follows.
Logic, as the order of possibilities for objects standing in relation to one another when they combine to form facts as represented in language, is not itself a fact.
(With Timothy Smiley) Recarving content: Hale's final proposal.
Proceedings of the Aristotelian Society, 102 (2002) 351-4 A follow-up, showing why Bob Hale's revision of his notion of weak sense is still inadequate. Proceedings of the Aristotelian Society, 101 (2001), 327-38 Explains why Bob Hale's proposed notion of weak sense cannot explain the analyticity of Hume's principle as he claims.
186-204 A discussion of the philosophical prospects for basing a neo-Fregean theory of classes on a principle that attempts to articulate the limitation-of-size conception. 60-92 Tries to identify some strands in the birth of analytic philosophy and to identify in consequence some of its distinctive features. In Mary Leng, Alexander Paseau and Michael Potter (eds), Mathematical Knowledge(OUP, 2007), 16-32 Suggests that the recent emphasis on Benacerraf's access problem locates the peculiarity of mathematical knowledge in the wrong place. (With Peter Sullivan) What is wrong with abstraction?
Instead we should focus on the sense in which mathematical concepts are or might be "armchair concepts" — concepts about which non-trivial knowledge is obtainable a priori. Philosophia Mathematica, 13 (2005) 187-93 We correct a misunderstanding by Hale and Wright of an objection we raised in 'Hale on Caesar' to their abstractionist programme for rehabilitating logicism in the foundations of mathematics.
We can call the order in our propositions that makes them capable of thus picturing the facts logic.
So logic can be seen as the order of possible situations in which things can find themselves, as reflected in language.
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