David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
History and Philosophy of Logic 3 (2):113-127 (1982)
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
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
Michael Clark (1980). The Place of Syllogistic in Logical Theory. Nottingham University Press.
John Corcoran (1973). A Mathematical Model of Aristotle's Syllogistic. Archiv für Geschichte der Philosophie 55 (2):191-219.
John Corcoran (1972). Completeness of an Ancient Logic. Journal of Symbolic Logic 37 (4):696-702.
Jonathan Lear (1980). Aristotle and Logical Theory. Cambridge University Press.
Citations of this work BETA
Michael V. Wedin (1990). Negation and Quantification in Aristotle. History and Philosophy of Logic 11 (2):131-150.
Similar books and articles
David Hitchcock (2000). Fallacies and Formal Logic in Aristotle. History and Philosophy of Logic 21 (3):207-221.
Hugo Mercier & Guy Politzer (2011). Solving Categorical Syllogisms with Singular Premises. Thinking and Reasoning 14 (4):434-454.
Guy Politzer & Hugo Mercier (2008). Solving Categorical Syllogisms with Singular Premises. Thinking and Reasoning 14 (4):434 – 454.
Paolo Crivelli & David Charles (2011). In Aristotles Prior Analytics. Phronesis 56 (3):193-203.
George Boger (1998). Completion, Reduction and Analysis: Three Proof-Theoretic Processes in Aristotle'sprior Analytics. History and Philosophy of Logic 19 (4):187-226.
Katerina Ierodiakonou (2002). Aristotle's Use of Examples in the Prior Analytics. Phronesis 47 (2):127-152.
Katerina Ierodiakonou (2002). Aristotle's Use of Examples in the "Prior Analytics". Phronesis 47 (2):127 - 152.
Paul Thom (1993). Apodeictic Ecthesis. Notre Dame Journal of Formal Logic 34 (2):193-208.
Fred Johnson (1993). Modal Ecthesis. History and Philosophy of Logic 14 (2):171-182.
Charles J. Kelly (2002). S4 and Aristotle on Three Syllogisms with Contingent Premisses. Journal of Philosophical Research 27:405-431.
Added to index2009-08-27
Total downloads50 ( #40,519 of 1,692,220 )
Recent downloads (6 months)9 ( #25,757 of 1,692,220 )
How can I increase my downloads?