The Philosophical Impact of the Löwenheim-Skolem Theorem

DOI10.1007/978-94-007-2390-0_4zbMath1253.03003OpenAlexW138990878MaRDI QIDQ2908779

Miloš Arsenijević

Publication date: 29 August 2012

Published in: Between Logic and Reality (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-94-007-2390-0_4

zbMATH Keywords

relativity of cardinality

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) Philosophical and critical aspects of logic and foundations (03A05) Basic properties of first-order languages and structures (03C07)

Cites Work

• Foundations of set theory
• Foundations of set theory. With the collaboration of Dirk van Dalen. 2nd revised ed
• Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I
• Über die Nicht-charakterisierbarkeit der Zahlenreihe mittels endlich oder abzählbar unendlich vieler Aussagen mit ausschliesslich Zahlenvariablen
• Axiomatisches Denken
• Nonstandard Analysis
• THE INDEPENDENCE OF THE CONTINUUM HYPOTHESIS
• Non-standard analysis
• The axiom of choice
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