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Strong axioms of infinity in NFU

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Publication:2732269
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DOI10.2307/2694912zbMath0986.03038OpenAlexW2083282082WikidataQ114588313 ScholiaQ114588313MaRDI QIDQ2732269

M. Randall Holmes

Publication date: 19 March 2002

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2694912


zbMATH Keywords

choiceinfinityextensions of NFU


Mathematics Subject Classification ID

Nonclassical and second-order set theories (03E70)


Related Items (6)

Cantor and generalized continuum hypotheses may be false ⋮ On the strength of a weak variant of the axiom of counting ⋮ Hypercomputation by definition ⋮ Largest initial segments pointwise fixed by automorphisms of models of set theory ⋮ Automorphisms of models of set theory and extensions of NFU ⋮ Why is the universe of sets not a set?



Cites Work

  • New foundations and the axiom of counting
  • Stratified and positive comprehension seen as superclass rules over ordinary set theory
  • Cofinal Indiscernibles and some Applications to New Foundations
  • New Foundations for Mathematical Logic
  • The Axiom of Choice in Quine's New Foundations for Mathematical Logic
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