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Equality in the Presence of Apartness

  • D. Van Dalen
  • R. Statman
Part of the Synthese Library book series (SYLI, volume 122)

Abstract

The apartness relation was introduced by Brouwer, [1], [2], as a positive analogue of the inequality relation on the continuum. Subsequently Heyting introduced the notion of apartness axiomatically for a treatment of axiomatic geometry and algebra, [7], [8], [9]. In this paper we will take the axiomatic point of view and consider first-order intuitionistic theories of apartness and equality.

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Bibliograpgy

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Copyright information

© D. Reidel Publishing Company, Dordrecht, Holland 1979

Authors and Affiliations

  • D. Van Dalen
    • 1
  • R. Statman
    • 2
  1. 1.Department of Mathematics and Department of PhilosophyUniversity of UtrechtThe Netherlands
  2. 2.King’s CollegeCambridge UniversityUK

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