Counterfactuals and updates as inverse modalities: preliminary version

  • Authors:
  • Mark Ryan;Pierre-Yves Schobbens;Odinaldo Rodrigues

  • Affiliations:
  • University of Birmingham, Birmingham, UK;Facultés Universitaires de Namur, Belgium;Imperial College, London, UK

  • Venue:
  • TARK '96 Proceedings of the 6th conference on Theoretical aspects of rationality and knowledge
  • Year:
  • 1996

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Abstract

We point out a simple but hitherto ignored link between the theory of updates and counterfactuals and classical modal logic: update is a classical existential modality, counterfactual is a classical universal modality, and the link between the two (called the Ramsey rule) is simply the link between two inverse accessibility relations of a classical Kripke model.