Stoic Trichotomies

Oxford Studies in Ancient Philosophy 51:207-230 (2016)
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Abstract

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 interpretive puzzles, including on Chrysippus's response to the 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.

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Daniel Nolan
University of California, Santa Cruz

Citations of this work

The Stoics on Time.Daniel Nolan - forthcoming - In Dominic Bailey, The Oxford Handbook of Stoicism. Oxford: Oxford University Press.
A Chrysippean Modality.D. T. J. Bailey - 2024 - Archiv für Geschichte der Philosophie 106 (3):492-517.

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References found in this work

Singular terms, truth-value gaps, and free logic.Bas C. van Fraassen - 1966 - Journal of Philosophy 63 (17):481-495.
Something and nothing: the Stoics on concepts and universals.Victor Caston - 1999 - Oxford Studies in Ancient Philosophy 17:145-213.
Chrysippus and the epistemic theory of vagueness.Susanne Bobzien - 2002 - Proceedings of the Aristotelian Society 102 (1):217-238.
Stoic Gunk.Daniel Nolan - 2006 - Phronesis 51 (2):162-183.

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