Zeno is the greatest figure of the Eleatic School.
Diogenes Laertes says that Zeno was a native of Elea (Velia), the son of Telentagoras and pupil of Parmenides. He says Aristotle called him the inventor of dialectics, and the writer of many books. Zeno was politically active in trying to get rid of a tyrant of Elea, whom he managed to take aside -- and bite, possibly taking off his nose.
Zeno of Elea is known through the writing of Aristotle and the medieval Neoplatonist Simplicius (A.D. 6th C.). Zeno presents 4 arguments against motion which are demonstrated in his famous paradoxes. The paradox referred to as "Achilles" claims that a faster runner (Achilles) can never overtake the tortoise because the pursuer must always first reach the spot the one he seeks to overtake has just left.
