Do not claim too much: Second-order logic and first-order logic

Philosophia Mathematica 7 (1):42-64 (1999)
Abstract
The purpose of this article is to delimit what can and cannot be claimed on behalf of second-order logic. The starting point is some of the discussions surrounding my Foundations without Foundationalism: A Case for Secondorder Logic.
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DOI 10.1093/philmat/7.1.42
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Higher-Order Logic or Set Theory: A False Dilemma.S. Shapiro - 2012 - Philosophia Mathematica 20 (3):305-323.

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