Paradox Lost

Canadian Journal of Philosophy 34 (2):195 - 216 (2004)
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Abstract

Frederic Fitch’s celebrated reasoning to the conclusion that all truths are known can be interpreted as a reductio of the claim that all truths are knowable. Given this, nearly all of the proof’s reception has involved canvassing the prospects for some form of verificationism. Unfortunately, debates of this sort discount much of the philosophical import of the proof. In addition to its relevance for verificationism, Fitch’s proof is also an argument for the existence of God, one at least as strong as the traditional demonstrations. Perhaps unlike other such proofs, Fitch’s also operates as a key lemma in a proof that establishes that God can’t exist.

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Jon Cogburn
Louisiana State University

References found in this work

The semantic conception of truth and the foundations of semantics.Alfred Tarski - 1943 - Philosophy and Phenomenological Research 4 (3):341-376.
A logical analysis of some value concepts.Frederic Fitch - 1963 - Journal of Symbolic Logic 28 (2):135-142.
A paradox regained.D. Kaplan & R. Montague - 1960 - Notre Dame Journal of Formal Logic 1 (3):79-90.
Some puzzles concerning omnipotence.George I. Mavrodes - 1963 - Philosophical Review 72 (2):221-223.
Fitch's proof, verificationism, and the knower paradox.J. C. Beall - 2000 - Australasian Journal of Philosophy 78 (2):241 – 247.

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