A Paradox for Possible World Semantics

Logique Et Analyse 49 (195):307-317 (2006)
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Abstract

The development of possible worlds semantics for modal claims has led to a more general application of that theory as a complete semantics for various formal and natural languages, and this view is widely held to be an adequate (philosophical) interpretation of the model theory for such languages. We argue here that this view generates a self-referential inconsistency that indicates either the falsity or the incompleteness of PWS.

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Michael Shaffer
Gustavus Adolphus College

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