Other nonstandard theories

  • Vladimir Kanovei
  • Michael Reeken
Part of the Springer Monographs in Mathematics book series (SMM)


The “Hrbaček paradox” (Theorem 1.3.9) can be viewed as the statement of inconsistency of the conjunction of the four following axioms, over a weak nonstandard theory:
  • Collection;

  • either of the axioms of Choice and Power Set;

  • standard size Saturation;

  • Standardization.


Nonstandard Analysis Transitive Model Elementary Embedding Standard Core Inaccessible Cardinal 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Vladimir Kanovei
    • 1
  • Michael Reeken
    • 2
  1. 1.IITP, Institute for Information TransmissionMoscowRussian Federation
  2. 2.Bergische Universität WuppertalFB C MathematikWuppertalGermany

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