Boolean-Valued Structures

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

Abstract

The notion of a Boolean-valued structure is obtained from the definition of an ordinary 2-valued structure by replacing the Boolean algebra 2 of two truth values “truth” and “falsehood” by any complete Boolean algebra B. While some of the basic definitions and theorems can be generalized to the B-valued case almost mechanically the intuitive ideas behind these general notions are more difficult to perceive.

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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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