Studying Aristotelian Syllogism according to Implicative and Conductive Accounts

Document Type : Research Paper

Authors

1 PhD Candidate in Philosophical Logic, University of Isfahan, Iran

2 Associate Professor of Philosophy Department, University of Isfahan, Iran.

3 Associate Professor of Philosophy Department, University of Allameh Tabataba’i, Iran

Abstract

Aristotelian Logic, the oldest system of reasoning, has always been come into focus. The Syllogism as the focal issue amid Aristotle’s logic has caused many controversial discussions. After Classic Logic expansion in the 20th century, logicians had a chance to study Aristotelian Syllogism, especially premises-conclusion relation, precisely. In 1951, Jan Lukasiewicz suggested Conditional-Implicative perception and examined the Syllogistic system within axiomatic confines. Lukasiewicz believed a conditional sentence with conjunctive premises as the antecedent could thoroughly represent a perfect mood. Twenty years later, Timothy Smiley and John Corcoran criticized Lukasiewicz’s account independently. As believed by them, Syllogism is a deduction, and Aristotelian Syllogism must be studied in the context of the Natural Deduction system. In the 80s, Paul Thom claimed that Aristotle’s Syllogism could be taken as Triadic Implication. As stated by Thom, a syllogism is a conditional sentence without a conjunctive antecedent. The present article begins with a brief introduction on each standpoint. Then the Implicative and Conductive accounts and their relation to Aristotelian Syllogism are investigated.

Keywords

References

Alexander of Aphrodisias. (2006). On Aristotle Prior Analytics 1.32-46. Translated by I. Mueller, Bloomsbury.
Alexander of Aphrodisias. (2014). On Aristotle Prior Analytics 1.1-7. Translated by J. Barnes; S. Bozien; K. Flannery & S. J., K. Ierodiakonou. Bloomsbury.
Aristotle. (1989). Prior Analytics. Translated by Robin Smith. Hackett Publishing Company.
Aristotle. (2011). Organon. 2nd edition. Translated by Mir Shamsuddin Adib-Soltani, Negah Publisher. (in Persian)
Blackburn, S. (2008). The Oxford Dictionary of Philosophy. 2nd edition. Oxford University Press.
Bochenski, I. M. (1961). History of Formal Logic. Translated by Ivo Thomas. University of Norte Dame Press.
Burly, W. (2000). On the Purity of the Art of Logic, the shorter and longer treaties. Translated by Paul V. Spade. Yale University Press.
Carey, R. & Ongley, J. (2010). The A to Z of Bertrand Russell’s Philosophy. The Scarecrow Press, Inc.
Copleston, F. (1993). A History of Philosophy. Vol. I. Doubleday.
Corcoran, J. (1973). A Mathematical Model of Aristotle’s Syllogistic. In: Archive für Geschichte der Philosophie, 55, 191–219.
Corcoran, J. (1974). Aristotle’s Natural Deduction System. In: Ancient Logic and Its Modern Interpretations. J. Corcoran. (ed.). pp. 85–132. D. Reidel Publishing Company.
Corcoran, J. (1994). The Founding of Logic; Modern Interpretations of Aristotle’s Logic. In: Ancient Philosophy, 14, 9-24.
Corcoran, J. (2018). Aristotle’s Prototype Rule-Based Underlying Logic. In: Logica Universalis, 12, 9-35.
Kant, I. (1781/7). Critique of pure reason. Translated by P. Guyer & A. Wood. Cambridge university press.
Kneale, W. & Kneale, M. (1971). The Development of Logic, Clarendon Press.
Lukasiewicz, J. (1955). Aristotle’s Syllogistic: from Standpoint of Modern Formal Logic. 2nd Edition. Clarendon Press.
Mueller, I. (1978). An Introduction to Stoic Logic. In: The Stoics. J. M. Rist. (ed.). pp. 1-26. University of California Press.
Plato. (2004). Gorgias. Translated by W. Hamilton and C. Emlyn-Jones. Penguin.
Shorey, P. (1924). The Origin of Syllogism. In: Classical Philology, The University of Chicago Press. 19(1), 1-24.
Smiley, T. (1973). What is Syllogism? In: Journal of Philosophical Logic, 2, 136-154.
Tarski, A. (1956). Logic, Semantics and Metamathematics. Translated by J. H. Woodger. Clarendon Press.
Thom, P. (1979). Aristotle’s Syllogistic. In: Notre Dame Journal of Formal Logic, 20(4), 751-759.
Thom, P. (1981). The Syllogism. Philosophia Verlag GmbH.
Wilkinson Miller, J. (2016). The Structure of Aristotelian Logic. Routledge.
Wolf, A. (1938). The Text book of Logic. 2nd edition. Surjeet Publications.
Zakian, G. R. (2021). A Study of Material Implication in Mathematical Logic. In: Logical Essays. Tahabooks. (In Persian)
Zakiani, G. R. (2021). The Secret of First Figure Self-evident. In: Logical Essays. Tahabooks. (In Persian)
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Journal of Philosophical Investigations
Volume 17, Issue 43 - Serial Number 43
Articles
2023
Pages 20-46

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