Journal of Philosophical Logic 49 (4):727-766 (2020)

Authors
Peter Hawke
Lingnan University
Franz Berto
University of St. Andrews
Abstract
We propose a solution to the problem of logical omniscience in what we take to be its fundamental version: as concerning arbitrary agents and the knowledge attitude per se. Our logic of knowledge is a spin-off from a general theory of thick content, whereby the content of a sentence has two components: an intension, taking care of truth conditions; and a topic, taking care of subject matter. We present a list of plausible logical validities and invalidities for the logic of knowledge per se for arbitrary agents, and isolate three explanatory factors for them: the topic-sensitivity of content; the fragmentation of knowledge states; the defeasibility of knowledge acquisition. We then present a novel dynamic epistemic logic that yields precisely the desired validities and invalidities, for which we provide expressivity and completeness results. We contrast this with related systems and address possible objections.
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DOI 10.1007/s10992-019-09536-6
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References found in this work BETA

Knowledge and Lotteries.John P. Hawthorn - 2003 - Oxford, England: Oxford University Press.
Meaning and Necessity: A Study in Semantics and Modal Logic.Rudolf Carnap - 1947 - Chicago, IL, USA: University of Chicago Press.
Aboutness.Stephen Yablo - 2014 - Princeton University Press.
Change in View: Principles of Reasoning.Gilbert H. Harman - 1986 - Cambridge, MA, USA: MIT Press.

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