Aristotle’s Syllogistics revisited

Titolo Rivista EPISTEMOLOGIA
Autori/Curatori Gennaro Auletta
Anno di pubblicazione 2014 Fascicolo 2013/2 Lingua Inglese
Numero pagine 29 P. 233-261 Dimensione file 1893 KB
DOI 10.3280/EPIS2013-002004
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In this paper, following Peirce’s examination of the problem, I shall treat Aristotle’s syllogistics according to the rules of modern logic. In particular I shall show that two syllogisms (Darapti and Felapton) are not acceptable according to these principles. Finally, I shall show some very general properties of syllogistics that could be very helpful for building a general theory of inferences.

In questo lavoro mi rifaro all’esame che Peirce ha svolto della sillogistica aristotelica e la inquadrero negli sviluppi logici contemporanei. In particolare, mostrero che due sillogismi (Darapti and Felapton) non sono in accordo con i principi logici oggi riconosciuti. Infine mostrero alcune caratteristiche generali della sillogistica che potrebbero risultare molto utili per costruire una teoria generale delle inferenze.

Keywords:Inferenza, estensione, intensione, denotazione, connotazione, prima figura, seconda figura, terza figura.

  1. Anagnostopoulos G. (ed.) (2009). A Companion to Aristotle, Malden (Mass.), Wiley-Blackwell.
  2. Aristotle. An. Pr., An. Post. Analytica Priora et Posteriora (eds. Ross W.D. Minio-Paluello L.), Oxford, Clarendon, 1964.
  3. Aristotle. Cat., Int. Categoria et Liber de Interpretatione, Oxford, Clarendon, 1949, 1986.
  4. Aristotle. An. Primi. Gli Analitici primi (ed. M. Mignucci), Napoli, Loffredo, 1969.
  5. Boole G. (1854). An Investigation of the Laws of Thought, on which are Founded the Mathematical Theories of Logic and Probabilities, London, Walton and Maberly.
  6. De Morgan A. (1847). FormalLogic or the Calculus of Inference, Necessary and Probable, London, Taylor and Walton.
  7. Ferejohn M. (2009). Empiricism and the First Principles of Aristotelian Science. In Anagnostopoulos G. (ed.) (2009), pp. 66-80.
  8. Frege G. (1892). Uber Sinn und Bedeutung, Zeitschriftfur Philosophie und philosophische Kritik, 100, pp. 192-205 (eng. tr. in A.W. Moore, ed., 1993, Meaning and Reference, Oxford, Oxford University Press, pp. 23-42).
  9. Jacquette D. (ed.) (2002a). A Companion to Philosophical Logic, Oxford, Blackwell. Jacquette D. (2002b). Modality of Deductive Valid Inference. In Jacquette D. (ed.) (2002a), pp. 256-261.
  10. Keyt D. (2009). Deductive Logic. In Anagnostopoulos G. (ed.) (2009), pp. 31-50.
  11. Lukasiewicz J. (1951). Aristotle’s Syllogistic, Oxford, Clarendon.
  12. Mill J.S. (1843). System of Logic Ratiocinative and Inductive: Being a Connected View of the Principles of Evidence and the Methods of Scientific Investigation, London, J. Parker.
  13. Montague R., Henkin L. (1956). On the Definition of Formal Deduction, Journal of Symbolic Logic, 21, pp. 129-136.
  14. Peirce C.S. (1865). On the Logic of Science: Harvard Lectures. In Peirce (1982), I, pp. 161-302.
  15. Peirce C.S. (1866a). The Logic of Science or Induction and Hypothesis: Lowell Lectures. In Peirce (1982), I, pp. 357-504.
  16. Peirce C.S. (1866b). Memoranda Concerning the Aristotelean Syllogism. In Peirce (1982), I, pp. 505-514.
  17. Peirce C.S. (1868a). On the Natural Classifications of Arguments, Proceedings of the American Academy of Arts and Sciences, 7, pp. 261-287 (rep. in Peirce (1982), II, pp. 23-48).
  18. Peirce C.S. (1868b). Upon Logical Comprehension and Extension, Proceedings of the American Academy of Arts and Sciences,7, pp. 416-432 (rep. in Peirce (1982), II, pp. 70-86.
  19. Peirce C.S. (1880). On the Algebra of Logic, American Journal of Mathematics, 3, pp. 15-57 (rep. in Peirce (1982), IV, pp. 163-209).
  20. Peirce C.S. (1881). Methods of Reasoning. In Peirce (1982), IV, pp. 245-256.
  21. Peirce C.S. (1885). On the Algebra of Logic: A Contribution to the Philosophy of Notation, American Journal of Mathematics, 7, pp. 180-202 (rep. in Peirce, 1982, V, pp. 162-190).
  22. Peirce C.S. (1998) The Essential Peirce, Bloomington, Indiana University Press.
  23. Peirce C.S. (1982). Writings, Bloomington, Indiana University Press. Petrus Hispanus. Summulae Logicales, Torino, Marietti, 1947.
  24. Smith R. (2009). Aristotle’s Theory of Demonstration. In Anagnostopoulos G. (ed.) (2009), pp. 51-65.
  25. Sundholm B.G. (2002). Varieties of Consequence. In Jacquette D. (ed.) (2002a), pp. 241-255.
  26. William of Shyreswood. Introductiones in logicam, Munchen, 1937.

Gennaro Auletta, Aristotle’s Syllogistics revisited in "EPISTEMOLOGIA" 2/2013, pp 233-261, DOI: 10.3280/EPIS2013-002004