Also, in relation to how the atomism arguments fit in relation to the other logic-based issues:
Where the Common Thread Applies
The starting point is the same: Zeno's conclusion — that motion is impossible — is directly contradicted by sensation. We see things move. That is a Canon-level datum, and no formal argument can override it. So in that sense, Epicurus's first move is identical to his handling of the Liar or the Sorites: the argument reaches an absurd conclusion, therefore the argument is wrong.
But Here Epicurus Goes Further
With the Liar Paradox and the Sorites, Epicurus was largely content to dismiss the argument as a verbal or dialectical trap and move on. He didn't feel obligated to locate the precise flaw.
With Zeno's paradoxes he did something more demanding: he identified exactly where the argument goes wrong and replaced it with a positive physical theory. The false premise is infinite divisibility. Magnitude is not infinitely divisible — both atoms and the distances they traverse have genuine minima, smallest parts that cannot be further subdivided even conceptually. This doesn't just block Zeno's conclusion; it gives you a coherent account of how finite traversal of finite distances is physically possible.
The Deeper Point
So the minimal parts doctrine represents the Canon working at its most constructive. The Canon tells you the conclusion is false; reason then has the obligation to find the defective premise and build a correct account in its place. This is Epicurus at his most systematic — not just deflecting bad logic, but doing genuine physics in response to it.
It also shows that his anti-dialectical stance was not laziness or ignorance. When the stakes were high enough — when a logical argument threatened to undermine the entire intelligibility of the physical world — he would engage it fully on its own terrain and win on those terms.