Relevance logic without impossibilities

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Abstract

The idea that impossibilities have an important semantic role to play is becoming widely accepted on various grounds, including grounds of relevance. I argue that this is a mistake, that it has led to various foundational objections to relevance logic, and that these objections are avoidable given a semantics that clearly distinguishes two types of conditional or inferential fallacies, namely, those concerning truth preservation from those concerning a relation between content or subject matter. I argue that we should avoid the use of impossibilities in favor of a coarse-grained notion of content, and argue for the benefits of such an approach.
Original languageEnglish
Number of pages17
JournalInquiry
DOIs
Publication statusE-pub ahead of print - 23 Jan 2025

Bibliographical note

Publisher Copyright:
© 2025 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group.

Keywords

  • Relevance
  • content
  • impossibility
  • impossible world
  • logic

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