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Logic and Logical Philosophy

The Case of Dialetheism
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The Case of Dialetheism

Authors

  • Marcin Tkaczyk The John Paul II Catholic University of Lublin

DOI:

https://doi.org/10.12775/LLP.2016.012

Keywords

antinomy, dialetheia, dialetheism, consistency, contradiction, paraconsistency, paradox

Abstract

The concept of dialetheia and the claim of dialetheism has been examined and compared to such related concept as contradiction, antinomy, consistency and paraconsistency. Dialetheia is a true contradiction and dialetheism is the claim that there exists at least one dialetheia. It has been observed that dialetheism is equivalent to the negation of the traditional principle of contradiction. Hence, dialetheism itself is no new idea in whatsoever. The novelty of dialetheism consists in the arguments delivered for its case. Key justification the partisans deliver for dialetheism has been examined and evaluated: antinomies, an alleged Gödel’s paradox, and existence of limits of thought. The structure of those arguments has been analyzed. It has been claimed that they share one and the same simple structure which may be called reverse paradox. The vital content dialetheists add to the traditional paradoxes is only the thesis of reliability of the vernacular prima facie knowledge. Three objections have been raised against the justification of dialetheism: firstly, it has been claimed that exactly the same argument supports principle of contradiction, secondly, it has been questioned whether the arguments preserve their value when logic is subject to revision, and thirdly, it has been claimed that the underlying logic of dialetheism is classical.

Author Biography

Marcin Tkaczyk, The John Paul II Catholic University of Lublin

Faculty of Philosophy, Departament of Logic

References

Brown, B., 2002, “On paraconsistency”, pages 628–650 in: A Companion to Philosophical Logic, D. Jacquette (ed.), Blackwell, Oxford. DOI: 10.1002/9780470996751.ch40

Kneale, W., and M. Kneale, 1962, The Development of Logic, Clarendon Press, Oxford.

Łukasiewicz, J., 1987, O zasadzie sprzeczności u Arystotelesa (On the Principle of Contradiction in Aristotle), PWN, Warszawa. See also: J. Łukasiewicz, “On the principle of contradiction in Aristotle”, V. Wedin (trans.), The Review of Metaphysics, 24, 3 (1971): 485–509.

Priest, G., and R. Routley, 1989, “The philosophical significance and inevitability of paraconsistency”, in Paraconsistent Logics: Essays on the Inconsistent, G. Priest, R. Routley, J. Norman (eds.), Philosophia Verlag, Münich.

Priest, G., 2002a, “Logicians setting together contradictories: A perspective of relevance, paraconsistency, and dialetheism”, pages 651–664 in A Companion to Philosophical Logic, D. Jacquette (ed.), Blackwell, Oxford. DOI: 10.1002/9780470996751.ch41

Priest, G., 2002b, Beyond the Limits of Thought, Oxford Clarendon Press, New York. DOI: 10.1093/acprof:oso/9780199254057.001.0001

Priest, G., 2006, In Contradiction: A Study of the Transconsistent, Oxford University Press.

Priest, G., 2007, “Paraconsistency and dialetheism”, pages 129–204 in Handbook of the History of Logic, vol. 8, D.M. Gabbay, J. Woods (eds.), North Holland, Amsterdam. DOI: 10.1016/S1874-5857(07)80006-9

Logic and Logical Philosophy

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Published

2016-06-07

How to Cite

1.
TKACZYK, Marcin. The Case of Dialetheism. Logic and Logical Philosophy. Online. 7 June 2016. Vol. 25, no. 2, pp. 203-224. [Accessed 6 July 2025]. DOI 10.12775/LLP.2016.012.
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Vol. 25 No. 2 (2016): June

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