Models of \textsf{ZFA} in which every linearly ordered set can be well ordered

DOI10.1007/s00153-023-00871-9OpenAlexW4380569050MaRDI QIDQ6077948

Paul E. Howard, Eleftherios Tachtsis

Publication date: 27 September 2023

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

Full work available at URL: https://doi.org/10.1007/s00153-023-00871-9

zbMATH Keywords

axiom of choiceweak axioms of choicewell-ordered setcardinal numberlinearly ordered setDedekind finite setFraenkel-Mostowski (FM) permutation model of \textsf{ZFA}

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Infinite Hausdorff spaces may lack cellular families or discrete subsets of cardinality \(\aleph_0\)
• On metrizability and compactness of certain products without the axiom of choice
• Subgroups of small Index in infinite Symmetric Groups
• An independence result concerning the axiom of choice
• The Law of Infinite Cardinal Addition is Weaker than the Axiom of Choice
• RUSSELL'S ALTERNATIVE TO THE AXIOM OF CHOICE
• Cardinals m such that 2m = m
• The axiom of choice

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