On a New Tentative Solution to Fitch’s Paradox

Erkenntnis 81 (3):597-611 (2016)
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In a recent paper, Alexander argues that relaxing the requirement that sound knowers know their own soundness might provide a solution to Fitch’s paradox and introduces a suitable axiomatic system where the paradox is avoided. In this paper an analysis of this solution is proposed according to which the effective move for solving the paradox depends on the axiomatic treatment of the ontic modality rather than the limitations imposed on the epistemic one. It is then shown that, once the ontic modality is standardly introduced, the paradox still follows and, in addition, some puzzling consequences arise.
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Knowledge and its Limits.Williamson, Timothy
Reasoning About Knowledge.Fagin, Ronald; Y. Halpern, Joseph; Moses, Yoram & Vardi, Moshe
Modal Logic.Blackburn, Patrick; de Rijke, Maarten & Venema, Yde
The Paradox of Knowability.Edgington, Dorothy

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