The Nature and Limits of Abstraction [Book Review]

Philosophical Quarterly 54 (214):166 - 174 (2004)
This article is an extended critical study of Kit Fine’s The limits of abstraction, which is a sustained attempt to take the measure of the neo-logicist program in the philosophy and foundations of mathematics, founded on abstraction principles like Hume’s principle. The present article covers the philosophical and technical aspects of Fine’s deep and penetrating study.
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DOI 10.2307/3543080
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Bob Hale (2000). Reals by Abstraction. Philosophia Mathematica 8 (2):100--123.

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