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Bad Company Tamed

Øystein Linnebo
Synthese
Vol. 170, No. 3 (Oct., 2009), pp. 371-391
Published by: Springer
Stable URL: http://www.jstor.org/stable/40271357
Page Count: 21
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Bad Company Tamed
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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.

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