History and Philosophy of Logic 3 (2):113-127 (1982)

Authors
Robin Smith
Texas A&M University
Abstract
I consider the proper interpretation of the process of ecthesis which Aristotle uses several times in the Prior analytics for completing a syllogistic mood, i.e., showing how to produce a deduction of a conclusion of a certain form from premisses of certain forms. I consider two interpretations of the process which have been advocated by recent scholars and show that one seems better suited to most passages while the other best fits a single remaining passage. I also argue that ecthesis for Aristotle really means ?setting out? the case to be proved using letters. Aristotle?s remarks about the use of letters in mathematical proofs suggest that he had some understanding of rules equivalent to universal generalization and existential instantiation; the ?proofs through ecthesis? are so called because they rest on the latter rule, with which use of letters is involved in a special way
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DOI 10.1080/01445348208837035
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References found in this work BETA

What is a Syllogism?T. J. Smiley - 1973 - Journal of Philosophical Logic 2 (1):136 - 154.
Completeness of an Ancient Logic.John Corcoran - 1972 - Journal of Symbolic Logic 37 (4):696-702.
Aristotle and Logical Theory.Jonathan Lear - 1980 - Cambridge University Press.

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Citations of this work BETA

The Founding of Logic.John Corcoran - 1994 - Ancient Philosophy 14 (S1):9-24.
Aristotle's Syllogistic and Core Logic.Neil Tennant - 2014 - History and Philosophy of Logic 35 (2):120-147.
Was Ist Ein Vollkommener Syllogismus des Aristoteles?Theodor Ebert - 1995 - Archiv für Geschichte der Philosophie 77 (3):221-247.

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