- paradoxes of Zeno
Arguments by which Zeno of Elea upheld the doctrine of Parmenides that real Being is unique and unchanging.Zeno's arguments were aimed at discrediting the beliefs in plurality and motion that were inconsistent with Parmenides' doctrine. His best-known arguments are those against the reality of motion. One argument begins from the fact that a body in motion can reach a given point only after having traversed half the distance. But before traversing half, it must traverse half of this half, and so on ad infinitum; consequently, the goal can never be reached.
* * *▪ Greek philosophystatements made by the Greek philosopher Zeno Of Elea, a 5th-century-BC disciple of Parmenides, a fellow Eleatic, designed to show that any assertion opposite to the monistic teaching of Parmenides leads to contradiction and absurdity. Parmenides had argued from reason alone that the assertion that only Being is leads to the conclusions that Being (or all that there is) is (1) one and (2) motionless (motion). The opposite assertions, then, would be that instead of only the One Being, many real entities in fact are, and that they are in motion (or could be). Zeno thus wished to reduce to absurdity the two claims, (1) that the many are and (2) that motion is.Plato's dialogue, the Parmenides, is the best source for Zeno's general intention, and Plato's account is confirmed by other ancient authors. Plato referred only to the problem of the many, and he did not provide details. Aristotle, on the other hand, gave capsule statements of Zeno's arguments on motion; and these, the famous and controversial paradoxes, generally go by names extracted from Aristotle's account: the Achilles (or Achilles and the tortoise), the dichotomy, the arrow, and the stadium.The Achilles paradox (q.v.) is designed to prove that the slower mover will never be passed by the swifter in a race. The dichotomy paradox is designed to prove that an object never reaches the end. Any moving object must reach halfway on a course before it reaches the end; and because there are an infinite number of halfway points, a moving object never reaches the end in a finite time. The arrow paradox endeavours to prove that a moving object is actually at rest. The stadium paradox tries to prove that, of two sets of objects traveling at the same velocity, one will travel twice as far as the other in the same time.If, in each case, the conclusion seems necessary but absurd, it serves to bring the premise (that motion exists or is real) into disrepute, and it suggests that the contradictory premise, that motion does not exist, is true; and indeed, the reality of motion is precisely what Parmenides denied.
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Zeno — is a Greek name derived from the more ancient variant Zenon. The word may refer to any of the following:PeoplePhilosophers* Zeno of Elea (c.490–c.430 BC), philosopher, follower of Parmenides, famed for his paradoxes . * Zeno of Citium (333 BC 264 … Wikipedia
Zeno's paradoxes — Achilles and the Tortoise redirects here. For other uses, see Achilles and the Tortoise (disambiguation). Arrow paradox redirects here. For other uses, see Arrow paradox (disambiguation). Zeno s paradoxes are a set of problems generally thought… … Wikipedia
Zeno of Elea — c490 c430 B.C., Greek philosopher. Also called Zeno. * * * born с 495 died с 430 BC Greek philosopher and mathematician. He was called by Aristotle the inventor of dialectic. He is best known for his paradoxes (see paradoxes of Zeno). As a pupil… … Universalium
Zeno — /zee noh/, n. 1. See Zeno of Citium. 2. See Zeno of Elea. * * * I orig. Tarasicodissa born , Isauria, Diocese of the East died April 9, AD 491 Eastern Roman emperor (474–491). A military leader, he married the daughter of Emperor Leo I (с 466),… … Universalium
Zeno of Elea — (b. c. 490 BC) The pupil and principal defender of Parmenides, Zeno was called the inventor of dialectic by Aristotle . His one book, of which we possess only fragments, contained many arguments for the unreality of the pluralistic world that we… … Philosophy dictionary
Zeno of Elea — (pronEng|ˈziːnoʊ əv ˈɛliə, Greek: Ζήνων ὁ Ἐλεάτης) (ca. 490 BC? – ca. 430 BC?) was a pre Socratic Greek philosopher of southern Italy and a member of the Eleatic School founded by Parmenides. Aristotle called him the inventor of the dialectic… … Wikipedia
Zeno's paradoxes — Zeno of Elea s arguments against motion precipitated a crisis in Greek thought. They are presented as four arguments in the form of paradoxes : (1) the Racecourse, or dichotomy paradox, (2) Achilles and the Tortoise, (3) the Arrow, and (4) the… … Philosophy dictionary
Zeno's paradoxes — /zēˈnōz parˈə dok siz/ (mathematics) plural noun Four paradoxes designed to demonstrate that the supposition that motion actually occurs leads to logical dilemmas ORIGIN: Zeno of Elea (c.490–c.420BC), Greek philosopher and mathematician … Useful english dictionary
Zeno's paradox — Zeno s paradoxes … Philosophy dictionary
Zeno of Elea — (c. 490 bc–c. 430 bc) Greek philosopher Zeno was born at Elea (now Velia in Italy) and in about 450 bcaccompanied his teacher, Parmenides, to Athens. There he propounded the theories of the Eleatic school and became famous for his series of… … Scientists