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Relatives of the Russell Paradox

 

作者: Kees Doets,  

 

期刊: Mathematical Logic Quarterly  （WILEY Available online 1999）
卷期: Volume 45, issue 1  

页码: 73-83

 

ISSN:0942-5616

 

年代: 1999

 

DOI:10.1002/malq.19990450107

 

出版商: WILEY‐VCH Verlag Berlin GmbH

 

关键词: Russell's Paradox;Wellfoundedness

 

数据来源: WILEY

 

摘要:

AbstractA formula ϕ(x) in the one non‐logical symbol ϵ with one free variablexis Russell if the sentence Vχ(χ ϵ τ ⟷ Φ (χ)) is logically valid. This note describes a pattern common to the classical examples of Russell formulas, adds a couple of new ones, and constructs many formulas that are n

 

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