Subject-Matter and Intensional Operators II: Applications to the Theory of Topic-Sensitive Intentional Modals

Journal of Philosophical Logic 52 (6):1673-1701 (2023)
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Abstract

In frameworks in which _topic-__theoretic_ considerations—_e.g._, tracking _subject-matter_ or _topic_—are given equal importance with _veridical_ considerations, assigning topics to formulae in a satisfactory way is of critical importance. While intuitions are more-or-less solid for _extensional_ formulae in a propositional language, arriving at a compelling account of the subject-matter of _intensional_ formulae, _i.e._, formulae including intensional operators, is more challenging. This paper continues previous work on modeling topics of intensional formulae in William Parry’s logic of analytic implication, adapting the general techniques to the framework of _topic-sensitive intentional modals_ (TSIMs) championed by Francesco Berto and his collaborators. As illustrations, we introduce variations on Berto and Peter Hawke’s logic of knowability relative to information ( \(\pmb {\textsf{KRI}}\) ), including a refinement sensitive to topic-theoretic distinctions between knowledge and belief and a refinement capable of internalizing its own properties. Finally, subsystems of Aybüke Ozgun and Berto’s logic of plain hyperintensional belief ( \(\pmb {\textsf{PHB}}\) ) are introduced in which fine-grained distinctions in subject-matter are possible.

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Thomas Ferguson
City University of New York

References found in this work

Knowledge and Its Limits.Timothy Williamson - 2000 - Philosophy 76 (297):460-464.
Is Justified True Belief Knowledge?Edmund Gettier - 1963 - Analysis 23 (6):121-123.
Counterfactuals.David Lewis - 1973 - Foundations of Language 13 (1):145-151.

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