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The Nuisance Principle in Infinite Settings
Thought: A Journal of Philosophy 4 (4):263-268 (2015)
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 HPAuthor's Profile
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Citations of this work
For Better and for Worse. Abstractionism, Good Company, and Pluralism.Andrea Sereni, Maria Paola Sforza Fogliani & Luca Zanetti - 2023 - Review of Symbolic Logic 16 (1):268-297.
Deductive Cardinality Results and Nuisance-Like Principles.Sean C. Ebels-Duggan - 2021 - Review of Symbolic Logic 14 (3):592-623.
Abstraction Principles and the Classification of Second-Order Equivalence Relations.Sean C. Ebels-Duggan - 2019 - Notre Dame Journal of Formal Logic 60 (1):77-117.
What Russell Should Have Said to Burali–Forti.Salvatore Florio & Graham Leach-Krouse - 2017 - Review of Symbolic Logic 10 (4):682-718.
References found in this work
The reason's proper study: essays towards a neo-Fregean philosophy of mathematics.Crispin Wright & Bob Hale - 2001 - Oxford: Clarendon Press. Edited by Crispin Wright.
Is Hume's principle analytic?Crispin Wright - 1999 - Notre Dame Journal of Formal Logic 40 (1):307-333.
Is Hume's Principle Analytic?Crispin Wright - 1999 - Notre Dame Journal of Formal Logic 40 (1):6-30.
Notions of Invariance for Abstraction Principles.G. A. Antonelli - 2010 - Philosophia Mathematica 18 (3):276-292.
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