Thought: A Journal of Philosophy 4 (4):263-268 (2015)

Authors
Sean Ebels-Duggan
Northwestern University
Abstract
Neo-Fregeans have been troubled by the Nuisance Principle, an abstraction principle that is consistent but not jointly satisfiable with the favored abstraction principle HP. We show that logically this situation persists if one looks at joint consistency rather than satisfiability: under a modest assumption about infinite concepts, NP is also inconsistent with HP
Keywords abstraction principles  neo‐logicism  philosophy of mathematics  second‐order logic  neo‐Fregean
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DOI 10.1002/tht3.186
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References found in this work BETA

Reals by Abstraction.Bob Hale - 2000 - Philosophia Mathematica 8 (2):100--123.
Is Hume's Principle Analytic?Crispin Wright - 2001 - In Bob Hale & Crispin Wright (eds.), Notre Dame Journal of Formal Logic. Oxford University Press. pp. 307-333.
Notions of Invariance for Abstraction Principles.G. A. Antonelli - 2010 - Philosophia Mathematica 18 (3):276-292.
Is Hume's Principle Analytic?Crispin Wright - 1999 - Notre Dame Journal of Formal Logic 40 (1):6-30.

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