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A Berry and A Russell Without Self-Reference

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Abstract

In this paper I present two new paradoxes, a definability paradox (related to the paradoxes of Berry, Richard and König), and a paradox about extensions (related to Russell’s paradox). However, unlike the familiar definability paradoxes and Russell’s paradox, these new paradoxes involve no self-reference or circularity.

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References

  • D. Hilbert P. Bernays (1934) Grundlagen der Arithmetik NumberInSeriesvol. 1 Springer Berlin

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  • K. Simmons (1994) ArticleTitle‘Paradoxes of Denotation’ Philosophical Studies 76 71–106 Occurrence Handle10.1007/BF00989721

    Article  Google Scholar 

  • K. Simmons (2000) ArticleTitleSets, Classes and Extensions: A Singularity Approach to Russell’s Paradox Philosophical Studies 100 109–149 Occurrence Handle10.1023/A:1018666804035

    Article  Google Scholar 

  • S. Yablo (1993) ArticleTitle‘Paradox Without Self-reference’ Analysis 53 251–252

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Authors and Affiliations

  1. Department of Philosophy, UNC Chapel Hill, Caldwell Hall, CB #3125, Chapel Hill, NC, 27599-3125, USA

    Keith Simmons

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  1. Keith Simmons
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Correspondence to Keith Simmons.

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Simmons, K. A Berry and A Russell Without Self-Reference. Philos Stud 126, 253–261 (2005). https://doi.org/10.1007/s11098-004-7796-z

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  • DOI: https://doi.org/10.1007/s11098-004-7796-z

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