A Logic for Disjunctive Ignorance
Journal of Philosophical Logic 50 (6):1293-1312 (2021)
Abstract
In this paper, we introduce a notion of ‘disjunctive ignorance’, which is a weak combination of two forms of ignorance in the literature. We propose a logical language with ‘disjunctive ignorance’ as a sole modality, explore the logical properties of this notion and its related notions, and axiomatize it over various frame classes. By finding suitable reduction axioms, we extend the results to the case of public announcements and apply it to Moore-like sentences.Author's Profile
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References found in this work
Knowledge and Belief: An Introduction to the Logic of the Two Notions.Jaakko Hintikka - 1962 - Ithaca: Cornell University Press.
Knowledge and Belief: An Introduction to the Logic of the Two Notions.Jaakko Hintikka - 1962 - Studia Logica 16:119-122.
A reply to my critics.George Edward Moore - 1942 - In Paul Arthur Schilpp (ed.), The Philosophy of G. E. Moore. Open Court.
Living with Uncertainty: The Moral Significance of Ignorance.Michael J. Zimmerman - 2008 - Cambridge University Press.
A logical analysis of some value concepts.Frederic Fitch - 1963 - Journal of Symbolic Logic 28 (2):135-142.
