A classically-based theory of impossible worlds

Notre Dame Journal of Formal Logic 38 (4):640-660 (1997)

Authors
Edward Zalta
Stanford University
Abstract
The appeal to possible worlds in the semantics of modal logic and the philosophical defense of possible worlds as an essential element of ontology have led philosophers and logicians to introduce other kinds of `worlds' in order to study various philosophical and logical phenomena. The literature contains discussions of `non-normal worlds', `non-classical worlds', `non-standard worlds', and `impossible worlds'. These atypical worlds have been used in the following ways: (1) to interpret unusual modal logics, (2) to distinguish logically equivalent propositions, (3) to solve the problems associated with propositional attitude contexts, intentional contexts, and counterfactuals with impossible antecedents, and (4) to interpret systems of relevant and paraconsistent logic. However, those who have attempted to develop a genuine metaphysical theory of such atypical worlds tend to move too quickly from philosophical characterizations to formal semantics.
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DOI 10.1305/ndjfl/1039540774
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References found in this work BETA

Who's Afraid of Impossible Worlds?Edwin D. Mares - 1997 - Notre Dame Journal of Formal Logic 38 (4):516-526.
Twenty-Five Basic Theorems in Situation and World Theory.Edward N. Zalta - 1993 - Journal of Philosophical Logic 22 (4):385-428.
What is a Non-Normal World?Graham Priest - 1992 - Logique Et Analyse 35:291-302.
Simplified Semantics for Basic Relevant Logics.Graham Priest & Richard Sylvan - 1992 - Journal of Philosophical Logic 21 (2):217 - 232.

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Citations of this work BETA

Hintikka and Cresswell on Logical Omniscience.Mark Jago - 2006 - Logic and Logical Philosophy 15 (3):325-354.
Counterpossibles.Barak Krakauer - 2012 - Dissertation, University of Massachusetts
Impossibility and Impossible Worlds.Daniel Nolan - forthcoming - In Otavio Bueno & Scott Shalkowski (eds.), The Routledge Handbook of Modality. New York, USA: Routledge Press.
Sense and the Computation of Reference.Reinhard Muskens - 2004 - Linguistics and Philosophy 28 (4):473 - 504.

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