(Un)knowability and knowledge iteration

Analysis 80 (3):474-486 (2020)
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Abstract

The KK principle states that knowing entails knowing that one knows. This historically popular principle has fallen out of favour among many contemporary philosophers in light of putative counterexamples. Recently, some have defended more palatable versions of KK by weakening the principle. These revisions remain faithful to their predecessor in spirit while escaping crucial objections. This paper examines the prospects of such a strategy. It is argued that revisions of the original principle can be captured by a generalized knowledge iteration principle, Weak-KK, which states that knowing entails the possibility of knowing that one knows. But Weak-KK is vulnerable to an unknowability result and therefore must be rejected. The arguments here suggest that retreating to weaker iteration principles is not an option for the KK enthusiast.

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Sebastian Liu
Princeton University

Citations of this work

KK, Knowledge, Knowability.Weng Kin San - 2023 - Mind 132 (527):605-630.
Inexact knowledge and dynamic introspection.Michael Cohen - 2021 - Synthese 199 (3-4):5509-5531.
Augustine and the KK Principle.Yale Weiss - 2024 - History of Philosophy & Logical Analysis 27 (1):79-92.

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References found in this work

Contextualism, skepticism, and the structure of reasons.Stewart Cohen - 1999 - Philosophical Perspectives 13:57-89.
Taking a chance on KK.Jeremy Goodman & Bernhard Salow - 2018 - Philosophical Studies 175 (1):183-196.
Moore's Paradox and the Accessibility of Justification.Declan Smithies - 2011 - Philosophy and Phenomenological Research 85 (2):273-300.

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