Date of Original Version

6-4-2007

Type

Technical Report

Rights Management

All Rights Reserved

Abstract or Table of Contents

As McKinsey and Tarksi showed, the Stone representation theorem for Boolean algebras extends to algebras with operators to give topological semantics for (classical) propositional modal logic, in which the "necessity" operation is modeled by taking the interior of an arbitrary subset of a topological space. in this paper the topological interpretation is extended in a natural way to arbitrary theories of full first-order logic. The resulting system of S4 first-order modal logic is complete with respect to such topological semantics.

Comments

CMU-PHIL-180

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Philosophy Commons

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