Topological Semantics for Conditionals

Open Access
Authors
Publication date 2014
Host editors
  • M. Dančák
  • V. Punčochář
Book title The Logica Yearbook 2013
ISBN
  • 9781848901445
Pages (from-to) 115-128
Publisher London: College Publications
Organisations
  • Interfacultary Research - Institute for Logic, Language and Computation (ILLC)
Abstract In this paper we explore the topological semantics for conditional logic that arises from the Alexandroff equivalence between preorders and topological spaces. This clarifies the relation between the standard order semantics and premise semantics for conditionals. As an application we provide a construction of relative similarity orders between possible worlds from topologies of relevant propositions. The conditional logic over topologies is intertranslatable with the modal logic S4u.
Document type Conference contribution
Language English
Other links http://www.collegepublications.co.uk/logica/?00027
Downloads
topological_semantics_for_conditionals (Accepted author manuscript)
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