The emergence of some of the nonlogical paradoxes of the theory of sets, 1903-1908
type: Item
instance of: scholarly article
title: The emergence of some of the nonlogical paradoxes of the theory of sets, 1903-1908
zbMATH Open document ID: 0589.01009
DOI: 10.1016/0315-0860(85)90043-6
author: Alejandro R. Garciadiego
published in: Historia Mathematica
publication date: 1985-01-01T00:00:00Z
review text: The author calls ''nonlogical'' those paradoxes ''not involving logical or mathematical terms but containing some reference to thought, language or symbolism''. The first among such paradoxes was the one discovered by G. G. Berry and communicated to Russell by a letter in 1904. The original formulation of Berry's paradox is presented. A detailed survey of events related to Zermelo's Axiom of Choice is given [see also \textit{G. H. Moore}, Zermelo's Axiom of Choice: Its origins, development, and influence (1982; Zbl 0497.01005) and \textit{F. A. Medvedev}, The early history of the Axiom of Choice (Russian) (1982)], as well as a review of König's and Dixon's paradoxes. The paper contains a lot of interesting facts and useful conclusions on the subject, and an extensive bibliography.
Mathematics Subject Classification ID: 01A60
Mathematics Subject Classification ID: 03-03
Mathematics Subject Classification ID: 03E25
zbMATH DE Number: 3946078
zbMATH Keywords: König's paradox
zbMATH Keywords: G. G. Berry
zbMATH Keywords: Axiom of Choice
zbMATH Keywords: Dixon's paradoxes
MaRDI profile type: Publication
full work available at URL: 0315-0860(85)90043-6
OpenAlex ID: W2032487426
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description: scientific article; zbMATH DE number 3946078