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Oxford Studies in Ancient Philosophy, Volume 51$
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Victor Caston

Print publication date: 2016

Print ISBN-13: 9780198795797

Published to Oxford Scholarship Online: February 2017

DOI: 10.1093/acprof:oso/9780198795797.001.0001

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Stoic Trichotomies

Stoic Trichotomies

Chapter:
(p.207) Stoic Trichotomies
Source:
Oxford Studies in Ancient Philosophy, Volume 51
Author(s):

Daniel Nolan

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198795797.003.0006

Chrysippus often talks as if there is a third option when we might expect that two options in response to a question are exhaustive. Things are true, false, or neither; equal, unequal, or neither; the same, different, or neither; and so on. There seems to be a general pattern here that calls for a general explanation. This paper offers a general explanation of this pattern, preserving Stoic commitments to excluded middle and bivalence, arguing that Chrysippus employs this trichotomy move when he wishes to argue that apparent contradictories are only contraries, and wishes to endorse a third option. This general explanation of the pattern of trichotomies sheds light on a number of interpretative puzzles, including Chrysippus’ response to Democritus’ paradox of the cone. The purpose of these trichotomies is also discussed, and it is suggested that they originate from the dialectical context in which philosophical problems were posed.

Keywords:   Chrysippus, Stoics, law of excluded middle, dialectic, cone paradox, Democritus

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