Modal Structures and Morphisms

  • Kenneth A. Bowen
Part of the Synthese Library book series (SYLI, volume 127)


A modal structure base or simply base is a quadruple <K, R, O, N>, where K is a non-empty set, O ∈ K, R is a binary relation on K, and N ⊆ K. We will usually write Q for KN. The elements of K are usually referred to as possible worlds, O as the origin or immediate situation, R as the accessibility relation between the worlds of K, N as the collection of normal worlds, and Q as the collection of queer worlds (cf. Kripke, 1963, 1965 and Lemmon, 1966).


Modal Structure Function Symbol Accessibility Relation Normal World Predicate Symbol 
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 Science+Business Media Dordrecht 1979

Authors and Affiliations

  • Kenneth A. Bowen
    • 1
  1. 1.Syracuse UniversityUSA

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