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Truth and Contradiction in Aristotle’s De Interpretatione 6-9

Truth and Contradiction in Aristotle’s De Interpretatione 6-9 <jats:sec><jats:title>Abstract</jats:title><jats:p>In De Interpretatione 6-9, Aristotle considers three logical principles: the principle of bivalence, the law of excluded middle, and the rule of contradictory pairs (according to which of any contradictory pair of statements, exactly one is true and the other false). Surprisingly, Aristotle accepts none of these without qualification. I offer a coherent interpretation of these chapters as a whole, while focusing special attention on two sorts of statements that are of particular interest to Aristotle: universal statements not made universally and future particular statements. With respect to the former, I argue that Aristotle takes them to be indeterminate and so to violate the rule of contradictory pairs. With respect to the latter, the subject of the much discussed ninth chapter, I argue that the rule of contradictory pairs, and not the principle of bivalence, is the focus of Aristotle’s refutation. Nevertheless, Aristotle rejects bivalence for future particular statements.</jats:p> </jats:sec> http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Phronesis Brill

Truth and Contradiction in Aristotle’s De Interpretatione 6-9

Phronesis , Volume 55 (1): 26 – Jan 1, 2010

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References (17)

Publisher
Brill
Copyright
© 2010 Koninklijke Brill NV, Leiden, The Netherlands
ISSN
0031-8868
eISSN
1568-5284
DOI
10.1163/003188610X12589452898804
Publisher site
See Article on Publisher Site

Abstract

<jats:sec><jats:title>Abstract</jats:title><jats:p>In De Interpretatione 6-9, Aristotle considers three logical principles: the principle of bivalence, the law of excluded middle, and the rule of contradictory pairs (according to which of any contradictory pair of statements, exactly one is true and the other false). Surprisingly, Aristotle accepts none of these without qualification. I offer a coherent interpretation of these chapters as a whole, while focusing special attention on two sorts of statements that are of particular interest to Aristotle: universal statements not made universally and future particular statements. With respect to the former, I argue that Aristotle takes them to be indeterminate and so to violate the rule of contradictory pairs. With respect to the latter, the subject of the much discussed ninth chapter, I argue that the rule of contradictory pairs, and not the principle of bivalence, is the focus of Aristotle’s refutation. Nevertheless, Aristotle rejects bivalence for future particular statements.</jats:p> </jats:sec>

Journal

PhronesisBrill

Published: Jan 1, 2010

Keywords: bivalence; falsehood; truth; De Interpretatione; contradiction

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