More on the paradox of the knower without epistemic closure

Mind 113 (449):109-114 (2004)
Authors
Charles B. Cross
University of Georgia
Abstract
In “The Paradox of the Knower without Epistemic Closure”, MIND 110:319-33, 2001, I develop a version of the Knower Paradox which does not assume epistemic closure, and I use it to argue that the original Knower Paradox does not support an argument against epistemic closure. In “The Paradox of the Knower without Epistemic Closure?”, MIND 113:95-107, 2004, Gabriel Uzquiano, using his own result, argues that my rebuttal to the anti-closure argument is not successful. I respond here by arguing that in order to use Uzquiano’s result in an argument against closure, one must assume an implausible skepticism about arithmetic.
Keywords Knower Paradox  Epistemic Closure
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DOI 10.1093/mind/113.449.109
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Non‐Classical Knowledge.Ethan Jerzak - forthcoming - Philosophy and Phenomenological Research.
The Knower Paradox in the Light of Provability Interpretations of Modal Logic.Paul Égré - 2005 - Journal of Logic, Language and Information 14 (1):13-48.
The Paradox of the Knower Revisited.Walter Dean & Hidenori Kurokawa - 2014 - Annals of Pure and Applied Logic 165 (1):199-224.

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