Logic And Existence: Ian Rumfitt

Author: Rumfitt I.¹

Source: Supplement to the Proceedings of The Aristotelian Society, Volume 73, Number 1, June 1999 , pp. 151-180(30)

Publisher: Blackwell Publishing

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Abstract:

Frege's logicism in the philosophy of arithmetic consisted, au fond, in the claim that in justifying basic arithmetical axioms a thinker need appeal only to methods and principles which he already needs to appeal in order to justify paradigmatically logical truths and paradigmatically logical forms of inference. Using ideas of Gentzen to spell out what these methods and principles might include, I sketch a strategy for vindicating this logicist claim for the special case of the arithmetic of the finite cardinals.

Document Type: Research article

DOI: 10.1111/1467-8349.00053

Affiliations: 1: University College, Oxford

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