LUKASIEWICZ’S SYMBOLIC SYSTEM FOR ARISTOTLE’S LOGIC

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HEIDARI DAVUD

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Journal: Journal of Philosophical Investigations in Scopus Year:2010 | Volume:53 | Issue:216 Page(s): 1-29

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Information Journal Paper

Title

LUKASIEWICZ’S SYMBOLIC SYSTEM FOR ARISTOTLE’S LOGIC

Author(s)

HEIDARI DAVUD | Issue Writer Certificate

Keywords

SYLLOGISMQ2

IMPLICATIONQ3

AXIOMQ3

PROPOSITIONAL CALCULUSQ2

THEOREMQ3

THESESQ2

CONVERSIONQ3

ECTHESISQ3

REDUCTIO AD IMPOSSIBLEQ3

REJECTIONQ3

Abstract

This article deals with Lukasiewicz’s view of Aristotle's syllogistic. His fundamental work on the SYLLOGISM is Aristotle's Syllogistic from the Standpoint of Modern Formal Logic. The Lukasiewiczian view takes Aristotle’s logic to be an AXIOMatized system presupposing the PROPOSITIONAL CALCULUS. Lukasiewicz noted that Aristotle generally presents SYLLOGISMs in conditional form. For example, Barbara is stated as: “if A is said of every B and B of every C, then it is necessary for A to be predicated of every C.” This suggests that SYLLOGISMs aren’t inferences but IMPLICATIONs. The strong claim constituting Lukasiewicz’s view is that Aristotle’s theory of SYLLOGISM is a system of true propositions. He calls all true propositions (whether AXIOMs or THEOREMs) “theses”. From this point of view, imperfect SYLLOGISMs are not AXIOMs and need to be proved, i.e. established as THEOREMs. To do that, Aristotle uses a few methods of proof, namely proofs by CONVERSION, proofs by ECTHESIS and proofs by reductio ad impossibile.

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References

WHAT IS A SYLLOGISM?

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APA: Copy

HEIDARI, DAVUD. (2010). LUKASIEWICZ’S SYMBOLIC SYSTEM FOR ARISTOTLE’S LOGIC. PHILOSOPHICAL INVESTIGATION (JOURNAL OF FACULTY OF LETTERS AND HUMANITIES) (TABRIZ), 53(216), 1-29. SID. https://sid.ir/paper/140839/en

Vancouver: Copy

HEIDARI DAVUD. LUKASIEWICZ’S SYMBOLIC SYSTEM FOR ARISTOTLE’S LOGIC. PHILOSOPHICAL INVESTIGATION (JOURNAL OF FACULTY OF LETTERS AND HUMANITIES) (TABRIZ)[Internet]. 2010;53(216):1-29. Available from: https://sid.ir/paper/140839/en

IEEE: Copy

DAVUD HEIDARI, “LUKASIEWICZ’S SYMBOLIC SYSTEM FOR ARISTOTLE’S LOGIC,” PHILOSOPHICAL INVESTIGATION (JOURNAL OF FACULTY OF LETTERS AND HUMANITIES) (TABRIZ), vol. 53, no. 216, pp. 1–29, 2010, [Online]. Available: https://sid.ir/paper/140839/en

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