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Fitch’s Paradox of Knowability and the Knower Paradox: Against a Proposed Dialetheist Unified Solution

Fitch’s Paradox of Knowability and the Knower Paradox: Against a Proposed Dialetheist Unified Solution

Ricardo Santos, “Fitch’s Paradox of Knowability and the Knower Paradox: Against a Proposed Dialetheist Unified Solution,” Revista Portuguesa de Filosofia 73, no. 3–4 (2017): 1001–20, DOI 10.17990/RPF/2017_73_3_1001.

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Fitch’s Paradox of Knowability and the Knower Paradox: Against a Proposed Dialetheist Unified Solution

Type Journal Article
Author Ricardo Santos
Rights © 2018 Aletheia - Associação Científica e Cultural | © 2018 Revista Portuguesa de Filosofia
Volume 73
Issue 3-4
Pages 1001-1020
Publication Revista Portuguesa de Filosofia
ISSN 0870-5283; 2183-461X
Date 2017
DOI 10.17990/RPF/2017_73_3_1001
Language English
Abstract After introducing Fitch’s paradox of knowability and the knower paradox, the paper critically discusses the dialetheist unified solution to both problems that Beall and Priest have proposed. It is first argued that the dialetheist approach to the knower paradox can withstand the main objections against it, these being that the approach entails an understanding of negation that is intolerably weak (allowing one to stay in agreement with something that one negates) and that it commits dialetheists to jointly accept and reject the same thing. The lesson of the knower paradox, according to dialetheism, is that human knowledge is inconsistent. The paper also argues that this inconsistency has not been shown by dialetheists to be wide enough in its scope to justify their approach to Fitch’s problem. The connection between the two problems is superficial and therefore the proposed unified solution fails.
Date Added 17/01/2018, 17:50:02
Modified 17/01/2018, 19:23:35

Tags:

  • dialetheism,
  • epistemic norms,
  • Fitch’s paradox,
  • inconsistent knowledge,
  • knower paradox,
  • negation,
  • rejection

Notes:

  • Adler, Jonathan. Belief’s Own Ethics. Cambridge, Mass. and London: MIT Press, 2002.
    Beall, JC. “Fitch’s Proof, Verificationism, and the Knower Paradox.” Australasian Journal of Philosophy 78, no. 2 (2000): 241-247.
    Brown, Jessica, and Herman Cappelen, eds. Assertion: New Philosophical Essays. Oxford University Press, 2011.
    Cicero. On Academic Scepticism. Translated by Charles Brittain. Indianapolis: Hackett, 2006.
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    Gibbons, John. The Norm of Belief. Oxford University Press, 2013.
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    Kaplan, David and Richard Montague, “A Paradox Regained.” Notre Dame Journal of Formal Logic 1, no. 3 (1960): 79-90.
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    Priest, Graham. An Introduction to Non-Classical Logic (2nd edition). Cambridge University Press, 2008.
    Priest, Graham. “Beyond the Limits of Knowledge.” In New Essays on the Knowability Paradox, edited by Joe Salerno, 93-104. Oxford University Press, 2009.
    Routley, Richard. “Necessary Limits to Knowledge: Unknowable Truths.” In Essays in Scientific Philosophy. Dedicated to Paul Weingartner, edited by M. Edgar, N. Otto and Z. Gerhard, 93-115. Bad Reichenhall: Comes Verlag, 1981.
    Salerno, Joe. 2009. “Knowability Noir: 1945–1963.” In New Essays on the Knowability Paradox, edited by Joe Salerno, 29-48. Oxford University Press, 2009.
    Sutton, Jonathan. Without Justification. Cambridge, Mass. and London: MIT Press, 2007.
    Turri, John. “Refutation by Elimination.” Analysis 70, no. 1 (2010): 35-39.
    Williams, John N. “Eliminativism, Dialetheism and Moore’s Paradox.” Theoria 81, no. 1 (2015): 27-47.
    Williamson, Timothy. Knowledge and its Limits. Oxford University Press, 2000.

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