✦ LIBER ✦

Relatives of the Russell Paradox

✍ Scribed by Kees Doets

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 606 KB
Volume: 45
Category: Article
ISSN: 0044-3050
DOI: 10.1002/malq.19990450107

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

A formula ϕ(x) in the one non‐logical symbol ϵ with one free variable x is 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 near‐Russell.

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