Abstract
After explaining the interdisciplinary aspect of the series of events organized around the square of opposition since 2007, we discuss papers related to the 4th World Congress on the Square of Opposition which was organized in the Vatican at the Pontifical Lateran University in 2014. We distinguish three categories of work: those dealing with the evolution and development of the theory of opposition, those using the square as a metalogical tool to give a better understanding of various systems of logic and those related with applications of the theory of opposition to conceptual analysis and pedagogy.
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References
Arenhart J.R.B.: Liberating paraconsistency from contradiction. Logica Universalis 9, 523–544 (2015)
Beziau, J.-Y.: Universal Logic. In: Childers, T., Majer, O. (eds.) Logica’94—Proceedings of the 8th International Symposium, Prague, pp. 73–93 (1994)
Beziau J.-Y.: New light on the square of oppositions and its nameless corner. Log. Investig. 10, 218–232 (2003)
Beziau J.-Y.: The new rising of the square. In: Beziau, J.-Y., Jacquette, D. (eds.) Around and beyond the square of opposition., Birkhäuser, Basel (2012)
Beziau J.-Y.: The power of the hexagon. Logica Universalis, 6, 1–43 (2012)
Beziau J.-Y.: The metalogical hexagon of opposition. Argumentos, 10, 111–122 (2013)
Beziau, J.-Y.: Round squares are no contradictions. In: Beziau, J.-Y., Chakraborty, M., Dutta, S. (eds.) New Directions in Paraconsistent Logic, pp. 39–55. Springer, New Delhi (2016)
Beziau, J.-Y.: Disentangling contradiction from contrariety via incompatibility. Logica Univers. 10 (2016). doi:10.1007/11787-016-0151-2
Beziau, J.-Y. (ed): Universal logic: an anthology. Birkhäuser, Basel (2012)
Beziau, J.-Y. (ed): Special issue of Logica Universalis dedicated to the hexagon of opposition, vol 6, double issue 1–2 (2012)
Beziau, J.-Y., Jacquette, D. (eds): Around and beyond the square of opposition. Birkhäuser, Basel (2012)
Beziau, J.-Y., Payette G. (eds): Special Issue on the Square of Opposition. Logica Univers. 2(1) (2008)
Beziau, J.-Y., Payette, G. (eds): The square of opposition—A general framework for cognition. Peter Lang, Bern (2012)
Beziau, J.-Y., Read, S. (eds) Special issue of History and Philosophy of Logic on the square of opposition. 4 (2014).
Beziau, J.-Y., Gan-Krzywoszynska, K. (eds): New dimension of the square of Opposition. Philosophia, Munich (2016)
Beziau, J.-Y., Basti, G. (eds): The square of opposition, a cornerstone for thought. Birkhäuser, Basel (2016)
Bjørdal, F.: Cubes and hypercubes of opposition, with ethical ruminations on inviolability. Logica Univers. 10 (2016). doi:10.1007/s11787-016-0149-9
Blanché R.: Sur la structuration du tableau des connectifs interpropositionnels binaires. J. Symb. Logic 22, 17–18 (1957)
Blanché R.: Structures intellectuelles. Essai sur lorganisation systématique des concepts. Vrin, Paris (1966)
Cartier P.: How to take advantage of the blur between the finite and the infinite. Logica Univers. 6, 217–226 (2012)
Choudhury L., Chakraborty, M.K.: Singular propositions, negation and the square of opposition. Logica Univers. 10, (2016). doi:10.1007/s11787-016-0145-0
Dekker, P.J.E.: Herakleitean Oppositions. In: [15].
Demey, L., Smessaert, H.: Metalogical decorations of logical diagrams. Logica Univers. 10 (2016). doi:10.1007/s11787-015-0136-6
Giovagnoli, R.: Why the Fregean “square of opposition” matters for epistemology. In: [11], pp. 111–116.
Jacquette, D.: Subalternation and existence presuppositions in an unconventionally formalized canonical square of opposition. Logica Univers. 10 (2016). doi:10.1007/s11787-016-0147-y
Jaspers D.: Logic and colour. Logica Univers. 6, 227–248 (2012)
Lachance, G.: Platonic Contrariety (enantia): Ancestor of the Aristotelian notion of contradiction (antiphasis)? Logica Univers. 10 (2016). doi:10.1007/s11787-016-0141-4
Lemaire, J.: Is Aristotle the father of the square of opposition?. In [15].
Lenzen, W.: Leibniz’s logic and the “cube of opposition”. Logica Univers. 10 (2016). doi:10.1007/s11787-016-0143-2
Lenzen, W.: Leibniz: Logic. Internet Encyclopedia of Philosophy. http://www.iep.utm.edu/leib-log/
Lepage, F.: A square of oppositions in intuitionistic logic with strong negation. Logica Univers. 10 (2016). doi:10.1007/s11787-016-0144-1
Łukasiewicz J.: A system of modal logic. J. Comput. Syst. 1, 111–149 (1953)
Magnani L.: Understanding Violence. The Intertwining of Morality, Religion, and Violence: A Philosophical Stance. Springer, Heidelberg (2011)
Magnani, L.: Violence hexagon. Logica Univers. 10 (2016). doi:10.1007/s11787-016-0140-5
Moktefi, A., Shin, S.-J. (eds): Visual reasoning with diagrams. Birkhäuser, Basel (2013)
Moretti, A.: The geometry of logical opposition. PhD Thesis directed by J.-Y.Beziau, University of Neuchâtel, Neuchâtel (2009)
Murinová, P., Novák, V.: Syllogisms and 5-Square of opposition with intermediate quantifiers in fuzzy natural logic. Logica Univers. 10 (2016). doi:10.1007/s11787-016-0146-z
Nicolas, F.: The hexagon of opposition in music. In: [15]
Pizzi, C.: Generalization and composition of modal squares of oppositions. Logica Univers. 10 (2016). doi:10.1007/s11787-016-0142-3
Robert, S., Brisson, J.: The Klein group, squares of opposition and the explanation of fallacies in reasoning. Logica Univers. 10 (2016). doi:10.1007/s11787-016-0150-3
Shin S.-J.: The logical status of diagrams. Cambridge University Press, Cambridge (1994)
Wybraniec-Skardowska, U.: Logical squares for classical logic sentences. Logica Univers. 10 (2016). doi:10.1007/s11787-016-0148-x
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Beziau, JY., Giovagnoli, R. The Vatican Square. Log. Univers. 10, 135–141 (2016). https://doi.org/10.1007/s11787-016-0152-1
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DOI: https://doi.org/10.1007/s11787-016-0152-1