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2017 A Completed System for Robin Smith’s Incomplete Ecthetic Syllogistic
Pierre Joray
Notre Dame J. Formal Logic 58(3): 329-342 (2017). DOI: 10.1215/00294527-3882234


In this paper we first show that Robin Smith’s ecthetic system SE for Aristotle’s assertoric syllogistic is not complete, despite what is claimed by Smith. SE is then not adequate to establish that ecthesis allows one to dispense with indirect or per impossibile deductions in Aristotle’s assertoric logic. As an alternative to SE, we then present a stronger system EC which is adequate for this purpose. EC is a nonexplosive ecthetic system which is shown to be sound and complete with respect to all valid syllogistic arguments with a consistent set of premises.


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Pierre Joray. "A Completed System for Robin Smith’s Incomplete Ecthetic Syllogistic." Notre Dame J. Formal Logic 58 (3) 329 - 342, 2017.


Received: 14 May 2014; Accepted: 7 December 2014; Published: 2017
First available in Project Euclid: 23 March 2017

zbMATH: 1380.03016
MathSciNet: MR3681098
Digital Object Identifier: 10.1215/00294527-3882234

Primary: 03A99

Keywords: Aristotle , ecthesis , noncontradiction , syllogistic

Rights: Copyright © 2017 University of Notre Dame


Vol.58 • No. 3 • 2017
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