Chrysippus' Modal Logic and Its Relation to Philo and Diodorus

In K. Doering & Th Ebert (eds.), Dialektiker und Stoiker. Franz Steiner. pp. 63--84 (1993)
ABSTRACT: The modal systems of the Stoic logician Chrysippus and the two Hellenistic logicians Philo and Diodorus Cronus have survived in a fragmentary state in several sources. From these it is clear that Chrysippus was acquainted with Philo’s and Diodorus’ modal notions, and also that he developed his own in contrast of Diodorus’ and in some way incorporated Philo’s. The goal of this paper is to reconstruct the three modal systems, including their modal definitions and modal theorems, and to make clear the exact relations between them; moreover, to elucidate the philosophical reasons that may have led Chrysippus to modify his predessors’ modal concept in the way he did. It becomes apparent that Chrysippus skillfully combined Philo’s and Diodorus’ modal notions, with making only a minimal change to Diodorus’ concept of possibility; and that he thus obtained a modal system of modalities (logical and physical) which fit perfectly fit into Stoic philosophy.
Keywords modal logic  necessity  temporal truth  Stoics  Diodorus Cronus  Chrysippus  Stoic logic  contingency  master argument  propositions
Categories (categorize this paper)
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive
External links

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

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles
Logic: The Megarics.Susanne Bobzien - 1999 - In Keimpe Algra & et al (eds.), The Cambridge History of Hellenistic Philosophy. Cambridge University Press.
Chrysippus's Response to Diodorus's Master Argument.Harry Ide - 1992 - History and Philosophy of Logic 13 (2):133-148.
Logic: The Stoics (Part One).Susanne Bobzien - 1999 - In Keimpe Algra & et al (eds.), The Cambridge History of Hellenistic Philosophy. Cambridge University Press.
The Combinatorics of Stoic Conjunction.Susanne Bobzien - 2011 - Oxford Studies in Ancient Philosophy 40 (1):157-188.
Aristotle Vs. Diodorus.John A. Barker & Thomas D. Paxson Jr - 1985 - Philosophy Research Archives 11:41-76.
Diodorus and Modal Logic: A Correction.A. N. Prior - 1958 - Philosophical Quarterly 8 (32):226-230.
Chrysippus Confronts the Liar: The Case for Stoic Cassationism.Michael Papazian - 2012 - History and Philosophy of Logic 33 (3):197-214.
What One May Come to Know.van Benthem Johan - 2004 - Analysis 64 (2):95–105.
Logic for Contigent Beings.Harry Deutsch - 1994 - Journal of Philosophical Research 19:273-329.
The Modal Ontological Argument Meets Modal Fictionalism.T. Parent - 2016 - Analytic Philosophy 57 (4):338-352.

Monthly downloads

Added to index


Total downloads

304 ( #10,035 of 2,171,921 )

Recent downloads (6 months)

42 ( #5,962 of 2,171,921 )

How can I increase my downloads?

My notes
Sign in to use this feature

There  are no threads in this forum
Nothing in this forum yet.

Other forums