This article records tradition as it has been passed down and reported. Its sources are not yet part of the atlas's verified catalogue.
Almost nothing Chrysippus wrote survives whole. He is credited by ancient sources with more than seven hundred books, and the Internet Encyclopedia of Philosophy's account of his thought has to be assembled from roughly 475 fragments preserved by writers who were often arguing against him, chiefly Cicero, Plutarch and Diogenes Laertius. The later Stoic saying quoted in the entry, that if Chrysippus had not existed neither would the Stoa, is not empty flattery. Zeno and Cleanthes founded the school, but it was Chrysippus, its third head, who built the systematic logic and physics sturdy enough to survive three centuries of attack from the Academic skeptics, and the fragments that remain are mostly the residue of that fight.
The sharpest of those fights concerned freedom and fate, and it is the part of Chrysippus's thought that still gets argued over today. Stoic physics held that the cosmos runs on an unbroken causal chain, described in one fragment as a natural, everlasting ordering in which one thing follows another with what the source calls inviolable interconnection. Critics, ancient and modern, pressed the obvious objection: if every event, including every human choice, is fixed in advance by this chain, on what basis can anyone be praised or blamed for anything. Chrysippus's answer was compatibilist, and he reached for two images to make it work. The first is the dog tied to a cart, who can either strain against the rope or trot along with it, but who ends up moving with the cart either way, so that a willing dog experiences its own motion as free even though the outcome was never in doubt. The second, more carefully worked out, is a cylinder given an initial push: the push is external, but once the cylinder is moving, it rolls according to its own shape, its own nature, not simply according to the force that started it. Applied to a person, an impression from outside supplies the initial push, but assenting to that impression, choosing to accept it as a reason to act, proceeds through the person's own character, so that the act is caused and yet still, in Chrysippus's phrase, up to us.
Whether this actually answers the objection rather than restating it is exactly where scholars still divide. The entry notes that Susanne Bobzien reads the dog and cart simile as a later, cruder addition from the Roman Stoa, expressing mere resignation to fate rather than a real defense of moral responsibility, which would leave the cylinder as Chrysippus's real position and a more defensible one, since it locates freedom in the agent's own contribution to the outcome rather than in a willingness to be dragged along. The objection that will not go away is that if a person's character, the very thing supposedly doing the free work of assenting, is itself just one more link in the same causal chain, then compatibilism has only pushed the problem back a step rather than solved it.
The same reconstructive difficulty runs through Chrysippus's logic and his ontology, both of which the entry treats as attempts to hold a materialist, thoroughly deterministic system together against Academic pressure, from his propositional logic of five basic argument forms to his nominalist refusal to let abstract universals like Man count as things that exist anywhere in particular. In each case the historian is working from the losing side's quotations of the winning side's arguments, which is why so much of Chrysippus scholarship is still occupied with the ongoing dispute about what he actually meant by freedom that is caused all the way down.