A Berry and a Russell without Self-Reference

A Berry and a Russell without Self-Reference

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...

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Veröffentlicht in:Philosophical studies 2005-11, Vol.126 (2), p.253-261
1. Verfasser: Simmons, Keith
Format: Artikel
Sprache:eng
Schlagworte:
Definability
Integers
Numbers
Paradoxes
Philosophical logics. Philosophy of language
Philosophy
Predicates
Reasoning
Russells paradox
Self referential statements
Syllables
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Zusammenfassung: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.
ISSN:0031-8116
1573-0883
DOI:10.1007/s11098-004-7796-z