Set theory, topology, and the possibility of junky worlds

DOI10.1215/00294527-1960497zbMath1345.03011OpenAlexW2040008986MaRDI QIDQ2443121

Thomas Mormann

Publication date: 4 April 2014

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ndjfl/1390246440

zbMATH Keywords

Burali-Forti paradoxjunky worldsprinciple of universal fusiontopological junky worldsvon Neumann ordinal numbersZermelo natural numbers

Mathematics Subject Classification ID

Philosophical and critical aspects of logic and foundations (03A05) Axiomatics of classical set theory and its fragments (03E30) Ordinal and cardinal numbers (03E10)

Cites Work

• Set theory. With an introduction to descriptive set theory. Translation of the original Polish edition. 2nd, completely revised ed
• Mathematics and Reality
• On the significance of the Burali-Forti paradox
• Mathematics as a Science of Patterns: Ontology and Reference
• Mathematics as a Science of Patterns: Epistemology
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