Synthese

, Volume 170, Issue 3, pp 371–391 | Cite as

Bad company tamed

Article

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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Copyright information

© Springer Science+Business Media B.V. 2007

Authors and Affiliations

  1. 1.Department of PhilosophyUniversity of BristolBristolUK

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