Archiv der Mathematik

, Volume 94, Issue 1, pp 1–10 | Cite as

Unordered pairs in the set theory of Bourbaki 1949

  • A. R. D. MathiasEmail author


Working informally in ZF, we build a pair of supertransitive models of Z, of which pair the union is shown to be a supertransitive model of Bourbaki’s 1949 system for set theory in which some unordered pair fails to exist even though ordered pairs are available.

Mathematics Subject Classification (2000)



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© Birkhäuser Verlag Basel/Switzerland 2009

Authors and Affiliations

  1. 1.UFR Sciences et Technologies, Laboratoire d’Informatique et de MathématiquesERMIT, Université de la RéunionSainte-ClotildeFrance

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