Frege’s Theorem: An Introduction

The Harvard Review of Philosophy 7 (1):56-73 (1999)
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Abstract

A brief, non-technical introduction to technical and philosophical aspects of Frege's philosophy of arithmetic. The exposition focuses on Frege's Theorem, which states that the axioms of arithmetic are provable, in second-order logic, from a single non-logical axiom, "Hume's Principle", which itself is: The number of Fs is the same as the number of Gs if, and only if, the Fs and Gs are in one-one correspondence

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Richard Kimberly Heck
Brown University

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