Zeno of Elea Quotes


The second [argument about motion] is the so-called Achilles, and it amounts to this, that in a race the quickest runner can never overtake the slowest, since the pursuer must first reach the point whence the pursued started, so that the slower must always hold a lead.
Statement of the Achilles and the Tortoise paradox in the relation of the discrete to the continuous.; perhaps the earliest example of the reductio ad absurdum method of proof.


Citations

Aristotle. Physics. Translated by R. P. Hardie and R. K. Gaye, Clarendon Press, 1930, p. 239b.

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Zeno of Elea
Zeno of Elea
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Zeno of Elea (c.495 – c.430 BC) was a pre-Socratic Greek philosopher of Magna Graecia and a member of the Eleatic School founded by Parmenides. Aristotle called him the inventor of the dialectic. He is best known for his paradoxes, which Bertrand Russell described as "immeasurably subtle and profound".