Bad company tamed

Synthese 170 (3):371 - 391 (2009)
Abstract
The neo-Fregean project of basing mathematics on abstraction principles faces “the bad company problem,” namely that a great variety of unacceptable abstraction principles are mixed in among the acceptable ones. In this paper I propose a new solution to the problem, based on the idea that individuation must take the form of a well-founded process. A surprising aspect of this solution is that every form of abstraction on concepts is permissible and that paradox is instead avoided by restricting what concepts there are.
Keywords Abstraction  Frege  Logicism  Neo-Fregeanism  Paradox
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    G. Boolos (1998). Is Hume's Principle Analytic? Logic, Logic, and Logic:301--314.

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