Название книги: Fl ближе, чем думают
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О книге «Fl ближе, чем думают»
Plato has Socrates claim that Zeno and Parmenides were essentially arguing exactly the same point (Parmenides 128a–b).
Some of Zeno's nine surviving paradoxes (preserved in Aristotle's Physics Three of the strongest and most famous—that of Achilles and the tortoise, the Dichotomy argument, and that of an arrow in flight—are presented in detail below.
Zeno's arguments are perhaps the first examples of a method of proof called reductio ad absurdum also known as proof by contradiction.
They are also credited as a source of the dialectic method used by Socrates. Diogenes Laertius, a fourth source for information about Zeno and his teachings, citing Favorinus, says that Zeno's teacher Parmenides was the first to introduce the Achilles and the tortoise paradox.
But in a later passage, Laertius attributes the origin of the paradox to Zeno, explaining that Favorinus disagrees.
Before he can get halfway there, he must get a quarter of the way there.
Before traveling a quarter, he must travel one-eighth; before an eighth, one-sixteenth; and so on. This sequence also presents a second problem in that it contains no first distance to run, for any possible (finite) first distance could be divided in half, and hence would not be first after all. The paradoxical conclusion then would be that travel over any finite distance can neither be completed nor begun, and so all motion must be an illusion.