Little is known about my life, except that I was a philosopher, the son of Teleutagoras, and a pupil of the philosopher Parmenides in the Eleatic School (a leading pre-Socratic schools of Greek philosophy).
Similar to Socrates evental use of indirect arguments, I used dialectical techniques to establish the inconsistency of the Pythagoreans' concepts of multiplicity and infinite divisibility.
My arguments basically started from a Pythagorean premise (e.g. motion)...which I then reduced to absurdity.
I am best known for my paradoxes of motion: the Dichotomy, the Achilles, ther Arrow, annd the Stade.
By focusing on the idea of continuity and the incommensurable, I helped shift the view of the world from that of number to that of geometry.
Zeno of Elea (ca. 450 B.C.)