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  • 5 - Kripke Models

  • Edited by Alan Berger, Brandeis University, Massachusetts
  • Book:
    Saul Kripke
    Published online:
    05 June 2012
    Print publication:
    06 June 2011, pp 119-140

  • Summary

    Saul Kripke has made fundamental contributions to a variety of areas of logic. The task of devising a model theory for modal logic was really a series of tasks, of devising a model theory for each of the various systems. Or rather, it was to devise a general type of model theory which, by varying certain conditions, could produce specific model theories for which the various systems would be sound and complete. Kripke's model theory for modal predicate logic is related to his model theory for modal sentential logic rather as the standard model theory for nonmodal predicate logic is related to the standard model theory for nonmodal sentential logic. There is more of a gap between Kripke's formal models for intuitionistic logic, and Brouwer's and Heyting's explanations of the intended meaning of intuitionistic negation and other logical operators.