Zermelo and the Skolem Paradox

DOI10.2307/421203zbMath0976.03002OpenAlexW1989367560WikidataQ55892452 ScholiaQ55892452MaRDI QIDQ4508278

Heinz-Dieter Ebbinghaus, Dirk van Dalen

Publication date: 6 January 2002

Published in: Bulletin of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: http://www.math.ucla.edu/~asl/bsl/0602-toc.htm

zbMATH Keywords

ZermeloZermelo set theoryinfinitary languageaxiomatic set theorySkolem paradoxnonclassical axiomsZSF axiomatics

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) History of mathematics in the 20th century (01A60) History of mathematical logic and foundations (03-03) Axiomatics of classical set theory and its fragments (03E30) Nonclassical and second-order set theories (03E70)

Related Items (6)

From Dedekind to Zermelo versus Peano to Gödel ⋮ Zermelo in the mirror of the Baer correspondence, 1930--1931. ⋮ FREGE MEETS ZERMELO: A PERSPECTIVE ON INEFFABILITY AND REFLECTION ⋮ Zermelo: definiteness and the universe of definable sets ⋮ Deflating Skolem ⋮ Zermelo: Boundary numbers and domains of sets continued

Cites Work

• In memoriam Kurt Gödel: His 1931 correspondence with Zermelo on his incompletability theorem
• Completing the Gödel-Zermelo correspondence
• Zermelo's discovery of the Russell paradox
• Zermelo, reductionism, and the philosophy of mathematics
• Beyond first-order logic: the historical interplay between mathematical logic and axiomatic set theory
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