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Boolean Algebras That Are Not Sets

  • Gaisi Takeuti
  • Wilson M. Zaring
Part of the Graduate Texts in Mathematics book series (GTM, volume 8)

Abstract

When for a given axiom (∀α)A(α), one wishes to build a model of ZF + (∀α)A(α), he is often lead to the existence of complete Boolean algebras B β , for which
  1. 1.

    VBβ satisfies ZF + (∀α < β)A(α), and

     
  2. 2.

    The cardinality of |Bβ| increases as β increases.

     

Keywords

Topological Space Constant Term Boolean Algebra Axiom Schema Proper Class 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York Inc. 1973

Authors and Affiliations

  • Gaisi Takeuti
    • 1
  • Wilson M. Zaring
    • 1
  1. 1.University of IllinoisUSA

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