SYLLOGISTIC REASONING FROM PETRUS HISPANUS TO MODERN CONCEPTUALIZATIONS
Keywords:
syllogism, fourth figure, proposition, Summulae Logicales, reasoning, traditional logic, modern logicAbstract
This paper is going to present the syllogistic reasoning beginning with the Middle Ages and comparing the traditional type of this kind of reasoning with some modern conceptualizations (Hodges and Makinson). In this paper is emphasized the view of Petrus Hispanus, a Middle Age philosopher who based his point on Aristotle’s and Boethius’ logic. There is a difference between their presentations of this reasoning. The conceptual difference between Aristotle’s and the traditional one is going to be pointed. The problem of the fourth figure is also going to be considered. The conclusion of this analysis is going to underline the evolution and continuity of the syllogistic reasoning.References
Aristotle, Organon, trad. Mircea Florian, Editura IRI, Bucureşti, 1997
Başkent, Can, “Hypothetical Syllogism in Aristotle and Boethius”, 11 sept. 2008, accessed in June 2015, at the following address:(http://canbaskent.net/logic/early/syllogism.pdf)
Dotterer, Ray, H., “Doing Without Distribution in Formal Logic”, în The Journal of Philosophy, vol. 19, no. 17 (Aug. 17. 1922), pp. 462-469
Dumitriu, Anton, Istoria logicii (vol II), Editura Tehnică, București, 1995 Istoria logicii, 2nd ed, Editura Didactică și Pedagogică, București, 1975
Englebresten, George, “Noncategorical Syllogisms in the Analytics”, în Notre Dame Journal of Formal Logic, Vol. 21, No. 3 (Jul. 1980) pp. 602- 608
Fogelin, Robert, J., și Sinnott – Armstrong, Walter, Understanding Arguments – An Introduction to Informal Logic, Wadsworth Publishing, 2005
Geach, Peter, Thomas, Subject and Predicate, în Mind, Vol.59, No. 236 (Oct., 1950) pp. 461-482
Gyula, Klima, “Two Summulae, Two Ways of Doing Logic: Peter of Spain's ‘Realism’ and Buridan's ‘Nominalism’,” în Methods and Methodologies: Aristotelian Logic East and West, 500–1500, M. Cameron and J. Marenbon (eds.), Leiden/Boston: Brill, 2011, pp. 109–126
Halsted, George, Bruce, “Statement and Reduction of Syllogism”, în The Journal of Speculative Philosophy, vol. 12, No. 4 (Oct. 1878), pp. 418-426
Hodges, Wilfrid, “The Laws of Distribution for Syllogisms”, în Notre Dame Journal of Formal Logic, vol. 39, no. 2 (spring 1998), pp. 221-230
Kneale, William, Kneale, Martha, Dezvoltarea logicii, trad. Cornel Popa, Editura Dacia, Cluj – Napoca, 1974
Kretzmann, Norman, “Medieval Logicians on the Meaning of the Propositio”, în The Journal of Philosophy, Vol. 67, No. 20 (Oct. 22, 1970) pp. 767-787
Łukasiewicz, Jan, Aristotle's Syllogistic from the Standpoint of Modern Formal Logic, 2nd ed, Oxford University Press, London, 1955
Makinson, David, “Remarks on the Concept of Distribution in Traditional Logic”, în Noûs, Vol. 3, No. 1 (Feb. 1969), pp. 103-108
Parsons, Terence, Articulating Medieval Logic, Oxford University Press, Oxford, 2014
Patzig, Günther, Silogistica aristotelică, trad. Mircea Constantinescu, Niels Offenberger, Editura Științifică, București, 1970
Petrus, Hispanus, Tractatus- Summule Logicales, van Gorcum & Comp. B.V., Assen, 1972
Rose, Lynn, E., “Aristotle’s Syllogistic and the Fourth Figure”, în Mind, vol. 74, No. 295 (Jul.,1965), pp.382-389
Spade, Paul, Vincen, Thoughts, Words and Things: An Introduction to Late Mediaeval Logic and Semantic Theory, version 1.1.: August 9, 2002. (Available at: http://pvspade.com/Logic/docs/thoughts1_1a.pdf)
Withy, Andrew, “ A Principled Account of Boethian Hypothetical Syllogism”, accessed in June 2015, at the following address: https://www.academia.edu/4273408/A_Principled_Account_of_Boethian_Hypothetical_Syllogisms
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