Per Se Modality and Natural Implication – an Account of Connexive Logic in Robert Kilwardby
DOI:
https://doi.org/10.12775/LLP.2019.033Keywords
Robert Kilwardby, connexive logic, modal logic, medieval logicAbstract
We present a formal reconstruction of the theories of the medieval logician Robert Kilwardby, focusing on his account of accidental and natural inferences and the underlying modal logic that gives rise to it. We show how Kilwardby’s use of an essentialist modality underpins his connexive account of implication.
References
Aristotle, The Complete Works of Aristotle, the revised Oxford translation, edited by Jonathan Barnes, Bollingen series; 71, 2, Princeton University Press, Princeton, Guildford, 1984.
Cameron, M., and J. Marenbon, “Aristotelian logic east and west, 500–1500: On interpretation and Prior Analytics in two traditions – Introduction”, Vivarium 48 (2010): 1–6. http://booksandjournals.brillonline.com/content/10.1163/156853410x489691
Conti, A.D., “Semantics and ontology in Robert Kilwardby’s commentaries on the Logica Vetus”, in A Companion to the Philosophy of Robert Kilwardby, Brill, 2013. DOI: http://dx.doi.org/10.1163/9789004235991_004
Davey, B.A., and H.A Priestly, Introduction to Lattices and Order, Cambridge University Press, Cambridge, UK, 1990. DOI: http://dx.doi.org/10.1017/CBO9780511809088
de Rijk, L.M., and J. Spruyt, Syncategoreumata: First Critical Edition, with an Introduction and Indexes, Brill, Leiden, 1992.
Ebbesen, S., “The Prior Analytics in the latin west: 12th–13th centuries”, Vivarium 48 (2010): 96–133(37).
Fine, K., “Semantics for the logic of essence”, Journal of Philosophical Logic 29, 6 (2000): 543–584. DOI: http://dx.doi.org/10.1023/A:1026591900038
Giordani, A., “A new semantics for systems of logic of essence”, Studia Logica 102, 3 (2014): 411–440. DOI: http://dx.doi.org/10.1007/s11225-013-9472-9
Humberstone, L., “Contra-classical logics”, Australasian Journal of Philosophy 78, 4 (2000): 438–474. DOI: http://dx.doi.org/10.1080/00048400012349741
Kilwardby, R., Robert Kilwardby, notule libri priorum, critical edition with translation, introduction and indexes by P. Thom and J. Scott, Auctores Britannici Medii Aevi; 23–24, Oxford University Press, Oxford, 2015.
Malink, M., “A reconstruction of Aristotle’s modal syllogistic”, History and Philosophy of Logic 27, 2 (2006): 95–141. DOI: http://dx.doi.org/10.1080/01445340500405130
Malink, M., Aristotle’s Modal Syllogistic, Harvard University Press, Boston, MA, 2013. DOI: http://dx.doi.org/10.4159/harvard.9780674726352
McCall, S., “Connexive implication”, Journal of Symbolic Logic 31, 3 (1966): 415–433. DOI: http://dx.doi.org/10.2307/2270458
McCall, S., “Connexive class logic”, Journal of Symbolic Logic 32, 1 (1967): 83–90. DOI: http://dx.doi.org/10.2307/2271246
Mendelsohn, J., “Term kinds and the formality of Aristotelian modal logic”, History and Philosophy of Logic 38, 2 (2017): 99–126. DOI: http://dx.doi.org/10.1080/01445340.2016.1247321
Sommer-Seckendorff, E.M.F., Studies in the Life of Robert Kilwardby O. P., Romae ad S. Sabinae, Rome, 1937.
Thom, P., Medieval Modal Systems: Problems and Concepts, Ashgate, Aldershot, England, 2003. DOI: http://dx.doi.org/10.4324/9781315249261
Thom, P., Logic and Ontology in the Syllogistic of Robert Kilwardby, Brill, Leiden, 2007. DOI: http://dx.doi.org/10.1163/ej.9789004157958.i-316
Uckelman, S.L., “Logic and the condemnations of 1277”, Journal of Philosophical Logic 39, 2 (2010): 201–227. DOI: http://dx.doi.org/10.1007/s10992-010-9126-6
Uckelman, S.L., and S. Johnston, “A simple semantics for Aristotelian apodeictic syllogistics”, Advances in Modal Logic 8 (2010): 454–469.
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