The logical structure of linguistic commitment II: Systems of relevant commitment entailment [Book Review]

Journal of Philosophical Logic 25 (4):425 - 449 (1996)
In "The Logical Structure of Linguistic Commitment I" (The Journal of Philosophical Logic 23 (1994), 369-400), we sketch a linguistic theory (inspired by Brandom's Making it Explicit) which includes an "expressivist" account of the implication connective, →: the role of → is to "make explicit" the inferential proprieties among possible commitments which proprieties determine, in part, the significances of sentences. This motivates reading (A → B) as "commitment to A is, in part, commitment to B". Our project is to study the logic of →. LSLC I approximates (A → B) as "anyone committed to A is committed to B", ignoring issues of whether A is relevant to B. The present paper includes considerations of relevance, motivating systems of relevant commitment entailment related to the systems of commitment entailment of LSLC I. We also consider the relevance logics that result from a commitment reading of Fine's semantics for relevance logics, a reading that Fine suggests
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DOI 10.1007/BF00249667
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Meaning as an Inferential Role.Jaroslav Peregrin - 2005 - Erkenntnis 64 (1):1-35.
Subjective Probability and Acceptance.Mark Norris Lance - 1995 - Philosophical Studies 77 (1):147 - 179.

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