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Partially saturated universes and the Power Set problem

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

Abstract

Unlike the model theoretic version of nonstandard analysis, which offers a multiplicity of nonstandard structures with various properties, HST directly provides us with a unique universe | of all internal sets, saturated in a certain maximally possible way, and embedded in the external universe H of all sets. This may appear too boring for a specialist accustomed to deal with peculiar nonstandard models with sometimes hardly achievable properties.

Keywords

Standard Size Basic Idealization Nonstandard Analysis Elementary Substructure Elementary Embedding 
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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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