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Logic and Logical Philosophy

Per Se Modality and Natural Implication – an Account of Connexive Logic in Robert Kilwardby
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  3. Vol. 28 No. 3 (2019): September /
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Per Se Modality and Natural Implication – an Account of Connexive Logic in Robert Kilwardby

Authors

  • Spencer Johnston University of Cambridge

DOI:

https://doi.org/10.12775/LLP.2019.033

Keywords

Robert Kilwardby, connexive logic, modal logic, medieval logic

Abstract

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.

Author Biography

Spencer Johnston, University of Cambridge

British Academy Postdoctoral Fellow, Faculty of Philosophy

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).

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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.

Logic and Logical Philosophy

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Published

2019-09-12

How to Cite

1.
JOHNSTON, Spencer. Per Se Modality and Natural Implication – an Account of Connexive Logic in Robert Kilwardby. Logic and Logical Philosophy [online]. 12 September 2019, T. 28, nr 3, s. 449–479. [accessed 26.3.2023]. DOI 10.12775/LLP.2019.033.
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