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Fitch's paradox and the philosophy of mathematics

In Joe Salerno (ed.), New Essays on the Knowability Paradox. Oxford University Press (2009)

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  1. A Church–Fitch proof for the universality of causation.Christopher Gregory Weaver - 2013 - Synthese 190 (14):2749-2772.
    In an attempt to improve upon Alexander Pruss’s work (The principle of sufficient reason: A reassessment, pp. 240–248, 2006), I (Weaver, Synthese 184(3):299–317, 2012) have argued that if all purely contingent events could be caused and something like a Lewisian analysis of causation is true (per, Lewis’s, Causation as influence, reprinted in: Collins, Hall and paul. Causation and counterfactuals, 2004), then all purely contingent events have causes. I dubbed the derivation of the universality of causation the “Lewisian argument”. The Lewisian (...)
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  • The Knowability Paradox and Unsuccessful Updates.Arkadiusz Wójcik - 2020 - Studies in Logic, Grammar and Rhetoric 62 (1):53-71.
    In this paper we undertake an analysis of the knowability paradox in the light of modal epistemic logics and of the phenomena of unsuccessful updates. The knowability paradox stems from the Church-Fitch observation that the plausible knowability principle, according to which all truths are knowable, yields the unacceptable conclusion that all truths are known. We show that the phenomenon of an unsuccessful update is the reason for the paradox arising. Based on this diagnosis, we propose a restriction on the knowability (...)
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