An axiomatic version of Fitch’s paradox
Synthese 190 (12):2015-2020 (2013)
Abstract
A variation of Fitch’s paradox is given, where no special rules of inference are assumed, only axioms. These axioms follow from the familiar assumptions which involve rules of inference. We show (by constructing a model) that by allowing that possibly the knower doesn’t know his own soundness (while still requiring he be sound), Fitch’s paradox is avoided. Provided one is willing to admit that sound knowers may be ignorant of their own soundness, this might offer a way out of the paradoxAuthor's Profile
DOI
10.1007/s11229-011-9954-0
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Citations of this work
On a New Tentative Solution to Fitch’s Paradox.Alessandro Giordani - 2016 - Erkenntnis 81 (3):597-611.
References found in this work
A logical analysis of some value concepts.Frederic Fitch - 1963 - Journal of Symbolic Logic 28 (2):135-142.
New Essays on the Knowability Paradox.Joe Salerno (ed.) - 2008 - Oxford, England and New York, NY, USA: Oxford University Press.
Knowledge, Machines, and the Consistency of Reinhardt's Strong Mechanistic Thesis.Timothy J. Carlson - 2000 - Annals of Pure and Applied Logic 105 (1--3):51--82.