Logically Impossible Worlds

  • Koji Tanaka The Australian National University


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 (with his collaborators) 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.


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How to Cite
TANAKA, Koji. Logically Impossible Worlds. The Australasian Journal of Logic, [S.l.], v. 15, n. 2, p. 489-497, july 2018. ISSN 1448-5052. Available at: <https://ojs.victoria.ac.nz/ajl/article/view/4870>. Date accessed: 12 aug. 2020. doi: https://doi.org/10.26686/ajl.v15i2.4870.