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(2009) Synthese 170 (3).

Bad company tamed

Øystein Linnebo

pp. 371-391

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.

Publication details

DOI: 10.1007/s11229-007-9265-7

Full citation:

Linnebo, Ø. (2009). Bad company tamed. Synthese 170 (3), pp. 371-391.

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