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The square of opposition as a framework for Stephen Langton’s theological solutions. (English) Zbl 07909177

Beziau, Jean-Yves (ed.) et al., The exoteric square of opposition. The sixth world congress on the square of opposition, Crete, Greece, November 1–5, 2018. Cham: Birkhäuser. Stud. Univers. Log., 109-121 (2022).
Summary: In some texts of the prominent medieval thinker Stephen Langton (1150/55–1228), whose main theological works are being edited these days, it is possible to point out solutions based on the square of opposition. Although it is not clear whether he had such a structure in mind as a geometric representation, in his analyses devoted to God’s will, he introduced from three to four options representing possible states of will connected by such relations as contradiction, contrariety and the relationships set up by the possible distributions of logical values. Regardless of whether he knew the square of opposition, it is argued that this was the framework of his theological solutions. The power of the square of opposition in theological consideration is also seen in the example of the problem of predestination and the problem of theodicy. Finally, the “square of will” based on Langton’s analyses is further developed to a “hexagon of will”.
For the entire collection see [Zbl 1515.03010].

MSC:

03B05 Classical propositional logic
03B80 Other applications of logic
Full Text: DOI

References:

[1] A Partial Edition of Stephen Langton’s Summa and Questiones with Parallels from Andrew Sunesen’s Hexaemeron, eds. S. Ebbesen and L. B. Mortensen, Cahiers de l’Institut du Moyen Age Grec et Latin, XLIX, 1985.
[2] Augustine, Handbook on Faith, Hope, and Love, transl. A. C. Outler, Grand Rapids, MI, Christian Classics Ethereal Library, generated online 2019.
[3] Baldwin J. W., Master Stephen Langton, Future Archbishop of Canterbury: The Paris Schools and Magna Carta, English Historical Review 123(503) (2008), 811-846.
[4] Béziau J.-Y., The Power of Hexagon, Logica Universalis 6 (2012), 1-43 · Zbl 1272.03008
[5] Blanché R., Sur l’opposition des concepts, Theoria 19 (1953), 89-130.
[6] Der Sentenzkommentar des Kardinals Stephan Langton, ed. A.M. Landgraf, Aschendorff Verlag, Münster 1952.
[7] Lacombe G., Smalley B., Studies on the Commentaries of Cardinal Stephen Langton, Archives d’Histoire Doctrinale et Littraire du Moyen Age 5-6 (1931).
[8] Magistri Guillelmi Altissiodorensis Summa aurea, ed. J. Ribaillier et al., Grottaferrata (Roma)—Paris, 1980.
[9] Magistri Petri Lombardi Parisiensis Episcopi Sententiae in IV libris distinctae, ed. Collegii S. Bonaventurae Ad Claras Aquas, Grottaferrata (Roma) 1971.
[10] Quinto R., “Doctor Nominatissimus”. Stefano Langton ( 1228) e la tradizione delle sue opere, Aschendorff Verlag, Münster 1994.
[11] Stephen Langton, Quaestiones Theologiae, Liber I, eds. R. Quinto and M. Bieniak, Oxford University Press, Oxford 2014.
[12] Stephen Langton, Quaestiones Theologiae, Liber III.1, eds. M. Bieniak and W. Wciórka, Oxford University Press, Oxford 2021.
[13] Stephen Langton, Quaestiones Theologiae, Liber III.2, eds. M. Bieniak, M. Trepczyński and W. Wciórka, Oxford University Press, Oxford 2022.
[14] Summa theologiae—The Summa Theologi of St. Thomas Aquinas, Second and Revised Edition, 1920, transl. Fathers of the English Dominican Province, online ed. K. Knight 2017, URL: http://www.newadvent.org/summa
[15] Valente L., Logique et thologie trinitaire chez Étienne Langton: res, ens, suppositio communis et propositio duplex, in: Étienne Langton, prdicateur, bibliste, théologien, Brepols, 2010.
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