Early History of the Generalized Continuum Hypothesis: 1878–1938

Early History of the Generalized Continuum Hypothesis: 1878–1938

This paper explores how the Generalized Continuum Hypothesis (GCH) arose from Cantor's Continuum Hypothesis in the work of Peirce, Jourdain, Hausdorff, Tarski, and how GCH was used up to Gödel's relative consistency result.

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Veröffentlicht in:The bulletin of symbolic logic 2011-12, Vol.17 (4), p.489-532
1. Verfasser: Moore, Gregory H.
Format: Artikel
Sprache:eng
Schlagworte:
Axiom of choice
Axioms
Cantors theorem
Cardinality
Continuum hypothesis
Exponentiation
Mathematical functions
Mathematical set theory
Mathematical theorems
Mathematization
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Zusammenfassung:This paper explores how the Generalized Continuum Hypothesis (GCH) arose from Cantor's Continuum Hypothesis in the work of Peirce, Jourdain, Hausdorff, Tarski, and how GCH was used up to Gödel's relative consistency result.
ISSN:1079-8986
1943-5894
DOI:10.2178/bsl/1318855631