Finite Contractions on Infinite Belief Sets

  • Authors:
  • Sven Ove Hansson

  • Affiliations:
  • Royal Institute of Technology, Stockholm, Sweden

  • Venue:
  • Studia Logica
  • Year:
  • 2012

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Abstract

Contractions on belief sets that have no finite representation cannot be finite in the sense that only a finite number of sentences is removed. However, such contractions can be delimited so that the actual change takes place in a logically isolated, finite-based part of the belief set. A construction that answers to this principle is introduced, and is axiomatically characterized. It turns out to coincide with specified meet contraction.