2015
DOI: 10.1002/tht3.162
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Bad Worlds

Abstract: The idea of relevant logic—that irrelevant inferences are invalid—is appealing. But the standard semantics for relevant logics involve baroque metaphysics: a three‐place accessibility relation, a star operator, and ‘bad’ (impossible/non‐normal) worlds. In this article we propose that these oddities express a mismatch between non‐classical object theory and classical metatheory. A uniformly relevant semantics for relevant logic is a better fit.

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Cited by 10 publications
(2 citation statements)
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“…Bad worlds were introduced to analyse the worlds that are used in the semantics for some relevant logics (Girard & Weber 2015). These worlds include Routley star worlds.…”
Section: Bad Worldsmentioning
confidence: 99%
“…Bad worlds were introduced to analyse the worlds that are used in the semantics for some relevant logics (Girard & Weber 2015). These worlds include Routley star worlds.…”
Section: Bad Worldsmentioning
confidence: 99%
“…In §6.4, I will introduce some machinery that may be in harmony with this idea. The second, following Girard and Weber (2015), is perhaps more radical. This response rejects the Routley-Meyer frames presented here on the grounds that they present a distorted picture of the non-classical reality.…”
Section: Issues In Metaphysicsmentioning
confidence: 99%