Relatives of the Russell Paradox

Mathematical Logic Quarterly 45 (1):73-83 (1999)
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Abstract

A formula ϕ in the one non-logical symbol ϵ with one free variable x is Russell if the sentence Vχ) 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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10.1002/malq.19990450107

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Citations of this work

Incompleteness Via Paradox and Completeness.Walter Dean - 2020 - Review of Symbolic Logic 13 (3):541-592.

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References found in this work

Mathematical logic.Willard Van Orman Quine - 1951 - Cambridge,: Harvard University Press.
Paradox of the class of all grounded classes.Shen Yuting - 1953 - Journal of Symbolic Logic 18 (2):114.
On the paradox of grounded classes.Richard Montague - 1955 - Journal of Symbolic Logic 20 (2):140.
Elementary Properties of the Finite Ranks.Anuj Dawar, Kees Doets, Steven Lindell & Scott Weinstein - 1998 - Mathematical Logic Quarterly 44 (3):349-353.

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