The Contemporary Interest of an Old Doctrine
PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1994:209 - 216 (1994)
| Abstract | We call Frege's discovery that, in the context of second-order logic, Hume's principle-viz., The number of Fs = the number of Gs if, and only if, F a G, where F a G (the Fs and the Gs are in one-to-one correspondence) has its usual, second-order, explicit definition-implies the infinity of the natural numbers, Frege's theorem. We discuss whether this theorem can be marshalled in support of a possibly revised formulation of Frege's logicism. | |||||||||
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