Symmetry as a criterion for comprehension motivating quine's 'new foundations'

M. Randall Holmes

doi:10.1007/s11225-008-9107-8

Symmetry as a criterion for comprehension motivating quine's 'new foundations'

M. Randall Holmes

Mathematics Department

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

1 Scopus citations

Abstract

A common objection to Quine's set theory "New Foundations" is that it is inadequately motivated because the restriction on comprehension which appears to avert paradox is a syntactical trick. We present a semantic criterion for determining whether a class is a set (a kind of symmetry) which motivates NF.

Original language	English
Pages (from-to)	195-213
Number of pages	19
Journal	Studia Logica
Volume	88
Issue number	2
DOIs	https://doi.org/10.1007/s11225-008-9107-8
State	Published - Mar 2008

Keywords

New Foundations
Rieger-Bernays permutation methods
Symmetry

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10.1007/s11225-008-9107-8

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AB - A common objection to Quine's set theory "New Foundations" is that it is inadequately motivated because the restriction on comprehension which appears to avert paradox is a syntactical trick. We present a semantic criterion for determining whether a class is a set (a kind of symmetry) which motivates NF.

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UR - https://www.scopus.com/pages/publications/42149186950

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Symmetry as a criterion for comprehension motivating quine's 'new foundations'

Abstract

Keywords

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