Roles, Rigidity, and Quantification in Epistemic Logic

In Alexandru Baltag & Sonja Smets (eds.), Trends in Logic, Outstanding Contributions: Johan van Benthem on Logic and Information Dynamics. Springer. pp. 591-629 (2014)
Authors
Wesley H. Holliday
University of California, Berkeley
Abstract
Epistemic modal predicate logic raises conceptual problems not faced in the case of alethic modal predicate logic : Frege’s “Hesperus-Phosphorus” problem—how to make sense of ascribing to agents ignorance of necessarily true identity statements—and the related “Hintikka-Kripke” problem—how to set up a logical system combining epistemic and alethic modalities, as well as others problems, such as Quine’s “Double Vision” problem and problems of self-knowledge. In this paper, we lay out a philosophical approach to epistemic predicate logic, implemented formally in Melvin Fitting’s First-Order Intensional Logic, that we argue solves these and other conceptual problems. Topics covered include: Quine on the “collapse” of modal distinctions; the rigidity of names; belief reports and unarticulated constituents; epistemic roles; counterfactual attitudes; representational vs. interpretational semantics; ignorance of co-reference vs. ignorance of identity; two-dimensional epistemic models; quantification into epistemic contexts; and an approach to multi-agent epistemic logic based on centered worlds and hybrid logic
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Counterfactual Theories of Knowledge and the Notion of Actuality.Jan Heylen - 2016 - Philosophical Studies 173 (6):1647-1673.
The Problem of Cross-World Predication.Alexander W. Kocurek - 2016 - Journal of Philosophical Logic 45 (6):697-742.
Varieties of Rigidity.Tuukka Tanninen - forthcoming - Logica Universalis:1-22.

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