Quantified Hintikka-style epistemic logic

Synthese 74 (2):223 - 262 (1988)
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 it is true that and considers quantification over nonexistent individuals. Section 4 formalizes the idea of variable identity criteria typical of Hintikkian epistemic logic.
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    Jaakko Hintikka (1962). Knowledge and Belief. Ithaca, N.Y.,Cornell University Press.

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