Aristotle’s Syllogistics revisited

Journal title EPISTEMOLOGIA
Author/s Gennaro Auletta
Publishing Year 2014 Issue 2013/2 Language English
Pages 29 P. 233-261 File size 1893 KB
DOI 10.3280/EPIS2013-002004
DOI is like a bar code for intellectual property: to have more infomation click here

Below, you can see the article first page

If you want to buy this article in PDF format, you can do it, following the instructions to buy download credits

Article preview

FrancoAngeli is member of Publishers International Linking Association, Inc (PILA), a not-for-profit association which run the CrossRef service enabling links to and from online scholarly content.

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.

Keywords: Inference, extension, intension, denotation, connotation, first figure, second figure, third figure.

  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