In his arguments against the idea that the world contains more than one thing, Zeno derived his paradoxes from the assumption that if a magnitude can be divided then it can be divided infinitely often. Zeno also assumes that a thing which has no magnitude cannot exist. Simplicius, the last head of Plato's Academy in Athens, preserved many fragments of earlier authors including Parmenides and Zeno.
Zeno din assumes na ang isang bagay na kung saan ay walang magnitude ay hindi umiiral. Simplicius, ang huling pinuno ng Plato's Academy sa Athens, nakapreserba maraming fragments ng mas maaga ang mga may-akda kasama ang Parmenides at Zeno.