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  1. Axiomatizing Rumsfeld Ignorance.Jie Fan - 2023 - Journal of Philosophical Logic 53 (1):79-97.
    In a recent paper, Kit Fine presents some striking results concerning the logical properties of (first-order) ignorance, second-order ignorance and Rumsfeld ignorance. However, Rumsfeld ignorance is definable in terms of ignorance, which makes some existing results and the axiomatization problem trivial. A main reason is that the accessibility relations for the implicit knowledge operator contained in the packaged operators of ignorance and Rumsfeld ignorance are the same. In this work, we assume the two accessibility relations to be different so that (...)
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  • Truth and ignorance.Brent G. Kyle - 2020 - Synthese (8):1-24.
    I argue that the Standard View of ignorance is at odds with the claim that knowledge entails truth. In particular, if knowledge entails truth then we cannot explain away some apparent absurdities that arise from the Standard View of ignorance. I then discuss a modified version of the Standard View, which simply adds a truth requirement to the original Standard View. I show that the two main arguments for the original Standard View fail to support this modified view.
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  • Lucky Ignorance, Modality and Lack of Knowledge.Oscar A. Piedrahita - 2021 - Pacific Philosophical Quarterly (3).
    I argue against the Standard View of ignorance, according to which ignorance is defined as equivalent to lack of knowledge, that cases of environmental epistemic luck, though entailing lack of knowledge, do not necessarily entail ignorance. In support of my argument, I contend that in cases of environmental luck an agent retains what I call epistemic access to the relevant fact by successfully exercising her epistemic agency and that ignorance and non-ignorance, contrary to what the Standard View predicts, are not (...)
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  • A Logic for Disjunctive Ignorance.Jie Fan - 2021 - Journal of Philosophical Logic 50 (6):1293-1312.
    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.
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