The Law of Infinite Cardinal Addition is Weaker than the Axiom of Choice

DOI10.2307/1997641zbMath0356.02046OpenAlexW4243782904MaRDI QIDQ4128812

J. D. Halpern, Paul E. Howard

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/1997641

Mathematics Subject Classification ID

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

Related Items (5)

The list-chromatic number of infinite graphs ⋮ Models of \textsf{ZFA} in which every linearly ordered set can be well ordered ⋮ On the deductive strength of the Erdős-Dushnik-Miller theorem and two order-theoretic principles ⋮ On certain non-constructive properties of infinite-dimensional vector spaces ⋮ On Martin's Axiom and Forms of Choice

Cites Work

• Zur Axiomatik der Mengenlehre (Fundierungs‐ und Auswahlaxiom)
• Cardinal addition and the axiom of choice

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