Structure and the Concept of Number

Dissertation, Princeton University (1995)
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Abstract

The present essay examines and critically discusses Paul Benacerraf's antiplatonist argument of "What Numbers Could Not Be." In the course of defending platonism against Benacerraf's semantic skepticism, I develop a novel platonist analysis of the content of arithmetic on the basis of which the necessary existence of the natural numbers and the nature of numerical reference are explained

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Mark Eli Kalderon
University College London

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