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Quantified Hintikka-style epistemic logic
Authors:Lauri Carlson
Institution:(1) Research Unit for Computational Linguistics, University of Helsinki, Hallitaskatu 11-13, SF-00100 Helsinki 10, Finland
Abstract:This paper contains a formal treatment of the system of quantified epistemic logic sketched in Appendix II of Carlson (1983). Section 1 defines the syntax and recapitulates the model set rules and principles of the Appendix system. Section 2 defines a possible worlds semantics for this system, and shows that the Appendix system is complete with respect to this semantics. Section 3 extends the system by an explicit truth operatorT ldquoit is true thatrdquo and considers quantification over nonexistent individuals. Section 4 formalizes the idea of variable identity criteria typical of Hintikkian epistemic logic.
Keywords:
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