Conditional Heresies

Bibliographic Data

ID10345552
AuthorsFabrizio Cariani (0000-0003-2626-3493, Northwestern University), Simon Goldstein (0000-0003-4089-8575, Lingnan University)
Year2018
Volume101
Issue2
Pages251-282
Publication date2018-12-21
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenuePhilosophy and Phenomenological Research (JOURNAL)
Journal identifiersISSN: 0031-8205 • E-ISSN: 1933-1592
PublisherWiley (PUBLISHER • GB)
DOI10.1111/phpr.12565
OpenAlexW4252954931
LanguageEN
Citations received8
References cited50

The principles of Conditional Excluded Middle ( CEM ) and Simplification of Disjunctive Antecedents (SDA) have received substantial attention in isolation. Both principles are plausible generalizations about natural language conditionals. There is however little discussion of their interaction. This paper aims to remedy this gap and explore the significance of having both principles constrain the logic of the conditional. Our negative finding is that, together with elementary logical assumptions, CEM and SDA yield a variety of implausible consequences. Despite these incompatibility results, we open up a narrow space to satisfy both. We show that, by simultaneously appealing to the alternative‐introducing analysis of disjunction and to the theory of homogeneity presuppositions, we can satisfy both. Furthermore, the theory that validates both principles resembles a recent semantics that is defended by Santorio on independent grounds. The cost of this approach is that it must give up the transitivity of entailment: we suggest that this is a feature, not a bug, and connect it with recent developments of intransitive notions of entailment

Epistemology · Logical consequence · Metaphysics · Philosophy of language · Programming language · Semantics (computer science · Transitive relation · Variety (cybernetics · Artificial Intelligence · Computer Science · Logic, programming, and type systems · Logic, Reasoning, and Knowledge · Mathematics · Philosophy · Philosophy and Theoretical Science