Zeno of Elea
Zeno a member of the Eleatic School founded by Parmenides. Aristotle called him the inventor of dialectic. He is best known for his paradoxes, which Bertrand Russell has described as "immeasurably subtle and profound".
Although many ancient writers refer to the writings of Zeno, none of his writings survive intact.
Plato says that Zeno's writings were "brought to Athens for the first time on the occasion of" the visit of Zeno and Parmenides
According to Proclus in his Commentary on Plato's Parmenides, Zeno produced "not less than forty arguments revealing contradictions", but only nine are now known.
Zeno's arguments are perhaps the first examples of a method of proof called reductio ad absurdum, literally meaning to reduce to the absurd. This destructive method of argument was used by him to such an extent that he became famous for it.
- ↑ Diogenes Laërtius, 8.57, 9.25
- ↑ Russell, p. 347: "In this capricious world nothing is more capricious than posthumous fame. One of the most notable victims of posterity's lack of judgement is the Eleatic Zeno. Having invented four arguments all immeasurably subtle and profound, the grossness of subsequent philosophers pronounced him to be a mere ingenious juggler, and his arguments to be one and all sophisms. After two thousand years of continual refutation, these sophisms were reinstated, and made the foundation of a mathematical renaissance..."
- ↑ Plato (370 BC). Parmenides , translated by Benjamin Jowett. Internet Classics Archive.
- ↑ Proclus; Morrow, Glenn R.; Dillon, John M. (1992) . Proclus' Commentary on Plato's Parmenides. Princeton, N.J.: Princeton University Press. ISBN 978-0-691-02089-1. OCLC 27251522 . p29
- ↑ Zeno in The Presocratics, Philip Wheelwright ed. 1966. The Odyssey Press. 106-107.
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