Zeno of Elea
Zeno of Elea was a pre-Socratic Greek philosopher and a member of Eleatic
School founded by Parmenides. He was born during 490 century before Christ era and died with
the age around 60 during c. 430 before Christ era. HIs main interests are Metaphysics and
Ontology and he is also known with his paradoxes.
In Book VII of his Topics, Aristotle says that an epicheirema is "a dialectical
syllogism." It is a connected piece of reasoning which an opponent has put forward as true. This
style of argument is said to be first implemented by Parmenides and Zeno also use this kind of
argument.
Zeno is well-known with his three paradoxes, 'The Race', 'Achilles and the Tortoise',
and 'The Arrow.' In these three paradoxes of him, he described the infinite motion that we must
take in order to be on the place that we want to go. Which Bertrand Rusell has described as
"immeasurably subtle and profound".
On his paradox, 'The Arrow,' he stated that the arrow must reach the half of its way
in order get on the target. But also, the arrow must reach the half of the half or the 1/4 of the
way. And in order to to reach the 1/4, the arrow must reach the 1/8 of the way and so on.
Aside on 'The Arrow', his paradox 'The Race' and 'Achilles and the Tortoise' also
have the same idea about the motion. And these paradoxes define that there are infinite number
of points on our way when we go from one place to another.