Finiteness classes and small violations of choice

DOI10.1215/00294527-3490101zbMath1436.03255OpenAlexW2332423856MaRDI QIDQ306831

Horst Herrlich, Eleftherios Tachtsis, Paul E. Howard

Publication date: 1 September 2016

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

Full work available at URL: https://projecteuclid.org/euclid.ndjfl/1456499492

zbMATH Keywords

proper classesaxiom of choicefiniteness classesnotions of finitesmall violations of choiceZF-modelZFA-model

Mathematics Subject Classification ID

Consistency and independence results (03E35) Axiom of choice and related propositions (03E25)

Related Items (2)

On a Certain Notion of Finite and a Finiteness Class in Set Theory without Choice ⋮ Some independence results about compact metrizable spaces and two notions of finiteness

Cites Work

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• Set theory. An introduction to independence proofs
• The independence of various definitions of finiteness
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• Injectivity, Projectivity, and the Axiom of Choice
• Independence results for class forms of the axiom of choice
• Classes of Dedekind finite cardinals
• Finiteness and choice
• Variants of the axiom of choice in set theory with atoms
• The axiom of choice

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