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495 - 430 BC,
He was a pre-Socratic philosopher, who Aristotle called that author dialectic.
His paradoxes were to defend Parmenides's idea that motion is an illusion. He did this in response to paradoxes that had been proposed in response to Parmenides's view.
Dichotomy paradox
When an agent is in motion, it must arrive at a half-way stage before it reaches its goal. Somebody walking must, before they get somewhere, get halfway there. They must also get a quarter of the way there, so on and so forth. Thus there are an infinite number of tasks required in order to perform this operation. Zeno maintains that this is impossible.
This paradox is called dichotomy since it involves dividing the distance repeatedly into two parts.
These philosophical musings of Zeno actually have implication in quantum gravity and the understanding of spacetime at the quantum scale.
What is the smallest length scale?
We call this the quantum foam.
"[John Archibald] Wheeler proposed that, because of quantum mechanics, (the Heisenberg uncertainty principle), given sufficiently short intervals of time and distance, spacetime's very geometry will vibrate. This would be different from how we observe the smoothness of space on macroscopic scales. These would be large fluctuations in this spacetime. This would give space a foamy character. "
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