Synthese 170 (3):331 - 347 (2009)

Authors
Gabriel Uzquiano
University of Southern California
Abstract
The paper is concerned with the bad company problem as an instance of a more general difficulty in the philosophy of mathematics. The paper focuses on the prospects of stability as a necessary condition on acceptability. However, the conclusion of the paper is largely negative. As a solution to the bad company problem, stability would undermine the prospects of a neo-Fregean foundation for set theory, and, as a solution to the more general difficulty, it would impose an unreasonable constraint on mathematical practice.
Keywords Abstraction  Abstraction principles  Bad company  Extension  Frege  Stability  Structuralism
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DOI 10.1007/s11229-007-9266-6
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References found in this work BETA

Mathematics as a Science of Patterns.Michael D. Resnik - 1997 - New York ;Oxford University Press.

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Citations of this work BETA

Abstraction Reconceived.J. P. Studd - 2016 - British Journal for the Philosophy of Science 67 (2):579-615.
Bad Company Tamed.Øystein Linnebo - 2009 - Synthese 170 (3):371 - 391.
Some Criteria for Acceptable Abstraction.Øystein Linnebo - 2011 - Notre Dame Journal of Formal Logic 52 (3):331-338.
Bad Company and Neo-Fregean Philosophy.Matti Eklund - 2009 - Synthese 170 (3):393-414.
The Company Kept by Cut Abstraction (and its Relatives).S. Shapiro - 2011 - Philosophia Mathematica 19 (2):107-138.

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