Subject-matter and intensional operators I

Conditional-agnostic analytic implication

Bibliographic Data

ID21370827
AuthorsThomas Macaulay Ferguson (0000-0002-6494-1833, University of St Andrews, corresponding author)
Year2023
Volume180
Issue7
Pages1849-1879
Publication date2023-07-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenuePhilosophical Studies (JOURNAL)
Journal identifiersISSN: 0031-8116 • E-ISSN: 1573-0883
PublisherSpringer Science and Business Media LLC (PUBLISHER)
DOI10.1007/s11098-023-01952-4
PMID37333995
OpenAlexW4367394019
LanguageEN
Citations received11
References cited16

Although logical settings are typically concerned with tracking alethic considerations, frameworks exist in which topic- theoretic considerations—e.g., tracking subject-matter or topic —are given equal importance. Intuitions about extending topic through a propositional language are generally straightforward for extensional cases. For a number of reasons, arriving at a compelling account of the subject-matter of intensional operators —such as intensional conditionals —is a more difficult task. In particular, the framework of topic-sensitive intentional modals (TSIMs) championed by Francesco Berto and his collaborators leave the topics of intensional formulae undefined , which artificially constricts the expressivity of the theory. This paper proposes an approach to fill in this lacuna, emphasizing an analogous problem in Parry-style containment logics. In this setting, the approach receives a proof-of-concept through the introduction of a natural and general family of subsystems of Parry’s $${\textsf{PAI}}$$ PAI —with sound and complete axiomatizations—that allow a fine degree of control over the topics of intensional conditionals

Epistemology · Extensional definition · Linguistics · Logical consequence · Metaphysics · Modal · Modal verb · Philosophy of language · Philosophy of mind · Subject (documents) · Subject matter · Advanced Algebra and Logic · Artificial Intelligence · Computer Science · Logic, Reasoning, and Knowledge · Philosophy · Psychology · Semantic Web and Ontologies

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