RADO'S SELECTION LEMMA DOES NOT IMPLY THE BOOLEAN PRIME IDEAL THEOREM

DOI10.1002/malq.19840300902zbMath0519.03026OpenAlexW2085674347WikidataQ124934928 ScholiaQ124934928MaRDI QIDQ3669388

Paul E. Howard

Publication date: 1984

Published in: Mathematical Logic Quarterly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/malq.19840300902

zbMATH Keywords

Boolean prime ideal theoremRado's selection lemmaFraenkel-Mostowski modelZFU

Mathematics Subject Classification ID

Models of arithmetic and set theory (03C62)

Related Items (6)

On the set-theoretic strength of the $n$-compactness of generalized Cantor cubes ⋮ MULTIPLE CHOICES IMPLY THE INGLETON AND KREIN–MILMAN AXIOMS ⋮ On a variant of Rado's selection lemma and its equivalence with the Boolean prime ideal theorem ⋮ On variants of the principle of consistent choices, the minimal cover property and the 2-compactness of generalized Cantor cubes ⋮ On Stone’s theorem and the Axiom of Choice ⋮ On the minimal cover property in \(\mathbf{ZF}\)

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