Béziau works in the field of logic—in particular, paraconsistent logic, the square of opposition and universal logic. He holds a Maîtrise in Philosophy from Pantheon-Sorbonne University, a DEA in Philosophy from Pantheon-Sorbonne University, a PhD in Philosophy from the University of São Paulo, a MSc and a PhD in Logic and Foundations of Computer Science from Paris Diderot University.
Béziau is the editor-in-chief of the journal Logica Universalis and of the South American Journal of Logic—an online, open-access journal—as well as of the Springer book series Studies in Universal Logic. He is also the editor of College Publication's book series Logic PhDs
He has launched four major international series of events: UNILOG (World Congress and School on Universal Logic), SQUARE (World Congress on the Square of Opposition), WOCOLOR (World Congress on Logic and Religion), LIQ (Logic in Question). Such events have included major figures of mathematics, philosophy, computer science and religion such as Saul Kripke, Michał Heller, Laurent Lafforgue, Yuri Gurevich, Pierre Cartier.
An article published by Béziau in Synthese engendered controversy in 2016, a passage from the article being called a "homophobic and sexist rant". However other readers criticized this interpretation, in particular the logician Arnon Avron.
Béziau is the current president of the Brazilian Academy of Philosophy.
- "What is paraconsistent logic?" In D. Batens et al. (eds.), Frontiers of Paraconsistent Logic, Research Studies Press, Baldock, 2000, pp. 95–111. ISBN 0-86380-253-2
- Handbook of Paraconsistency (ed. with Walter Carnielli and Dov Gabbay). London: College Publication, 2007. ISBN 978-1-904987-73-4
- "Semantic computation of truth based on associations already learned" (with Patrick Suppes), Journal of Applied Logic, 2 (2004), pp. 457–467.
- "From paraconsistent logic to universal logic", Sorites, 12 (2001), pp. 5–32.
- Logica Universalis: Towards a General Theory of Logic (ed.) Basel: Birkhäuser Verlag, 2005, Second Edition 2007. ISBN 3-7643-7259-1
- "Logic is not logic", 'Abstracta' 6 (2010), pp. 73–102.
- "The power of the hexagon", Logica Universalis, 6 (2012), pp. 1–43.
- "History of truth-values", in D.M.Gabbay and J.Woods (eds) Handbook of the History of Logic, Vol. 11 - Logic: a history of its central concepts, Elsevier, Amsterdam, 2012, pp. 233–305
- The Square of Opposition: a General Framework for Cognition (ed. with Gillman Payette). Bern: Peter Lang, 2012. ISBN 978-3-0343-0537-2
- "The new rising of the square of opposition", in J.-Y.Béziau and D.Jacquette (eds), Around and Beyond the Square of Opposition, Birkhäuser, Basel, 2012, pp. 6–24.
- La pointure du symbole (ed.) Paris: Petra, 2014. ISBN 978-2-84743-048-6
- "The relativity and universality of logic", Synthese, 192 (2015), pp 1939–1954.
- "Logical Autobiography 50", in A.Koslow and A.Buchsbaum (eds), The Road to Universal Logic, Vol.2, Birkhäuser, Basel, 2015, pp.19-104.
- "MANY 1 - A Transversal Imaginative Journey across the Realm of Mathematics", in M.Chakraborty and M.Friend (eds), Special Issue on Mathematical Pluralism of the Journal of Indian Council of Philosophical Research, May 2017, Volume 34, Issue 2, pp 259–287.
- "Being aware of rational animals", in G.Dodig-Crnkovic and R.Giovagnoli (eds), Representation and Reality: Humans, Animals and Machines, Springer International Publishing, Cham, 2017, pp.319-331.
- "A Chromatic Hexagon of Psychic Dispositions", in M.Silva (ed), How Colours Matter to Philosophy, Springer International Publishing, Cham, 2017, pp.273-388.
- "An Analogical Hexagon", International Journal of Approximate Reasoning, 94 (2018), pp.1–17.
- "The Pyramid of Meaning", in J.Ceuppens, H.Smessaert, J. van Craenenbroeck and G.Vanden Wyngaerd (eds), A Coat of Many Colours - D60, Brussels, 2018.
- "An unexpected feature of classical propositional logic in the Tractatus", in G.Mras, P.Weingartner and B.Ritter (eds), Philosophy of Logic and Mathematics: Proceedings of the 41st International Ludwig Wittgenstein Symposium, De Gruyter, Berlin, Munich, Boston, 2019.
- "Is God Paraconsistent?" (with Newton da Costa) in Beyond Faith and Rationality Essays on Logic, Religion and Philosophy, Springer International Publishing, Cham, 2020, pp.321-333
- "Metalogic, Schopenhauer and Universal Logic", in J.Lemanski (ed), Language, Logic, and Mathematics in Schopenhauer, Birkhäuser, Basel, 2020, pp.207-257.
- "The Mystery of the Fifth Logical Notion (Alice in the Wonderful Land of Logical Notions)", Studia Humana, Volume 9:3/4 (2020), pp. 19—36.
- "Logica Universalis". SpringerLink. Retrieved 2016-04-11.
- Studies in Universal Logic (Titles in this series).
- "College Publications - Logic PhDs".
- "Universal logic".
- "2nd World Congress on Logic and Religion | University of Warsaw".
- Billingham, Paul; Parr, Tom (December 2020). "Enforcing social norms: the morality of public shaming". European Journal of Philosophy. 28 (4): 997–1016. doi:10.1111/ejop.12543.
In January 2016, a furore broke out regarding a paper by Jean-Yves Béziau, published in a special issue of the journal Synthese. The paper contained a passage that many readers considered homophobic and sexist.
- "The Relativity and Universality of Logic : Synthese de la Mayonnaise".
I do not know what Beziau's general opinions are. All I am speaking here about is the content of the paper in question (which I read as a logician, meaning that I read what is actually written - no more, no less). So I declare that I find the reaction on "Feminist Philosophers" 100 times more frightening than the paragraph in Beziau's paper it was about. It is a Stalinist reaction. No less. How can anyone who actually reads it in a rational way describe it as "Homophobic and Sexist"?
- "Logica Universalis". doi:10.1007/s11787-019-00221-5. S2CID 85518839. Cite journal requires
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