A Brief Note on Béziau’s “Rather Trivial Theorem” About LP
Keywordsdialetheia, paraconsistent logic, trivial interpretation
AbstractBéziau has recently argued that the logic LP commits dialetheists to trivialism and Martin has pointed out very clearly the main problems with that alleged result. My sole purpose here is to make the spirit of Martin’s reply more concise, exhibiting as clearly as possible the logical defects in Béziau’s reasoning. Additionally, I want to make some remarks on LP qua logic and not only as an interpreted language.
Arenhart, J.R.B, and E.S. Melo, 2017, “Is dialetheism self-coherent?”, South American Journal of Logic 3 (1): 87–109.
Arenhart, J.R.B., and E.S. Melo, 2018, “Dialetheists’ lies about the Liar”, Principia 22 (1): 59–85.
Beal, J., and D. Ripley, 2004, “Analetheism and dialetheism”, Analysis 64 (1): 30–35. DOI: http://dx.doi.org/10.1093/analys/64.1.30
Béziau, J.-Y., 2000, “What is paraconsistent logic?”, pages 95–111 in J.P. Van Bendegem, D. Batens, G. Priest and Ch. Mortensen (eds.), Frontiers of Paraconsistent Logic, Research Studies Press, Baldock.
Béziau, J.-Y., 2016, “Trivial dialetheism and the logic of paradox”, Logic and Logical Philosophy 25 (1): 51–56. DOI: http://dx.doi.org/10.12775/LLP.2015.022
Carnielli, W., and A. Rodrigues, 2017, “An epistemic approach to paraconsistency: A logic of evidence and truth”, Synthese. DOI: http://dx.doi.org/10.1007/s11229-017-1621-7
Martin, B., 2018, “In defence of dialetheism: A reply to Beziau and Tkaczyk”, Logic and Logical Philosophy 27 (2): 205–233. DOI: http://dx.doi.org/10.12775/LLP.2017.030
Priest. G., In Contradiction, Clarendon Press, Oxford, 2006. DOI: http://dx.doi.org/10.1093/acprof:oso/9780199263301.001.0001
Tkaczyk, M., 2016, “The case of dialetheism”, Logic and Logical Philosophy 25 (2): 203–224. DOI: http://dx.doi.org/10.12775/LLP.2016.012
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