The finite and the infinite

DOI10.1007/S10485-009-9212-5zbMath1236.18004OpenAlexW2053878336MaRDI QIDQ535363

Horst Herrlich

Publication date: 11 May 2011

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10485-009-9212-5

zbMATH Keywords

axiom of choicehereditaryfinitecohereditaryDedekind-finitefiniteness classfull subcategories of setpower-closedproductivesummable

Mathematics Subject Classification ID

Axiom of choice and related propositions (03E25) Categories of sets, characterizations (18B05)

Related Items (5)

Finiteness classes and small violations of choice ⋮ Finiteness classes arising from Ramsey-theoretic statements in set theory without choice ⋮ FACTORIALS OF INFINITE CARDINALS IN ZF PART I: ZF RESULTS ⋮ Hindman’s theorem in the hierarchy of choice principles ⋮ Some independence results about compact metrizable spaces and two notions of finiteness

Cites Work

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• The shrinking principle and the axiom of choice
• Axiomatic versus constructive procedures in mathematics
• Definitions of finite
• Axiom of choice
• The axiom of choice

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