The Nuisance Principle in Infinite Settings

Sean C. Ebels-Duggan

doi:10.1002/tht3.186

The Nuisance Principle in Infinite Settings

Sean C. Ebels-Duggan^*

^*Corresponding author for this work

Philosophy

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Neo-Fregeans have been troubled by the Nuisance Principle (NP), an abstraction principle that is consistent but not jointly (second-order) satisfiable with the favored abstraction principle HP. We show that logically this situation persists if one looks at joint (second-order) consistency rather than satisfiability: under a modest assumption about infinite concepts, NP is also inconsistent with HP.

Original language	English (US)
Pages (from-to)	263-268
Number of pages	6
Journal	Thought
Volume	4
Issue number	4
DOIs	https://doi.org/10.1002/tht3.186
State	Published - Dec 1 2015

Keywords

Abstraction principles
Neo-Fregean
Neo-logicism
Philosophy of mathematics
Second-order logic

ASJC Scopus subject areas

Philosophy

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10.1002/tht3.186

Cite this

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AB - Neo-Fregeans have been troubled by the Nuisance Principle (NP), an abstraction principle that is consistent but not jointly (second-order) satisfiable with the favored abstraction principle HP. We show that logically this situation persists if one looks at joint (second-order) consistency rather than satisfiability: under a modest assumption about infinite concepts, NP is also inconsistent with HP.

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KW - Philosophy of mathematics

KW - Second-order logic

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The Nuisance Principle in Infinite Settings

Abstract

Keywords

ASJC Scopus subject areas

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