Australasian Journal of Logic 15 (2):489 (2018)

Authors
Koji Tanaka
Australian National University
Abstract
What does it mean for the laws of logic to fail? My task in this paper is to answer this question. I use the resources that Routley/Sylvan developed with his collaborators for the semantics of relevant logics to explain a world where the laws of logic fail. I claim that the non-normal worlds that Routley/Sylvan introduced are exactly such worlds. To disambiguate different kinds of impossible worlds, I call such worlds logically impossible worlds. At a logically impossible world, the laws of logic fail. In this paper, I provide a definition of logically impossible worlds. I then show that there is nothing strange about admitting such worlds.
Keywords Impossible Worlds  Relevant Logic  Richard Routley/Sylvan
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Reprint years 2018
DOI 10.26686/ajl.v15i2.4870
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References found in this work BETA

Impossible Worlds: A Modest Approach.Daniel Nolan - 1997 - Notre Dame Journal of Formal Logic 38 (4):535-572.
Semantical Analysis of Modal Logic I. Normal Propositional Calculi.Saul A. Kripke - 1963 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 9 (5‐6):67-96.
Impossible Worlds.Francesco Berto - 2013 - Stanford Encyclopedia of Philosophy (2013).
Impossible Worlds.Daniel P. Nolan - 2013 - Philosophy Compass 8 (4):360-372.

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