The Nature and Limits of Abstraction [Book Review]

Philosophical Quarterly 54 (214):166 - 174 (2004)
Abstract
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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    References found in this work BETA
    Bob Hale (2000). Abstraction and Set Theory. Notre Dame Journal of Formal Logic 41 (4):379--398.
    Bob Hale (2000). Reals by Abstractiont. Philosophia Mathematica 8 (2):100--123.

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    Øystein Linnebo (2004). The Limits of Abstraction. Australasian Journal of Philosophy 82 (4):653 – 656.
    StewartShapiro (2004). The Nature and Limits of Abstraction. Philosophical Quarterly 54 (214):166–174.
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