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- Zeno's_paradoxes abstract "Zeno's paradoxes are a set of philosophical problems generally thought to have been devised by Greek philosopher Zeno of Elea (ca. 490–430 BC) to support Parmenides's doctrine that contrary to the evidence of one's senses, the belief in plurality and change is mistaken, and in particular that motion is nothing but an illusion. It is usually assumed, based on Plato's Parmenides (128a–d), that Zeno took on the project of creating these paradoxes because other philosophers had created paradoxes against Parmenides's view. Thus Plato has Zeno say the purpose of the paradoxes "is to show that their hypothesis that existences are many, if properly followed up, leads to still more absurd results than the hypothesis that they are one." (Parmenides 128d). 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 Physicsand Simplicius's commentary thereon) are essentially equivalent to one another. Aristotle offered a refutation of some of them. 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.Some mathematicians and historians, such as Carl Boyer, hold that Zeno's paradoxes are simply mathematical problems, for which modern calculus provides a mathematical solution.Some philosophers, however, say that Zeno's paradoxes and their variations (see Thomson's lamp) remain relevant metaphysical problems.The origins of the paradoxes are somewhat unclear. 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.".
- Zeno's_paradoxes thumbnail Race_between_Achilles_and_the_tortoise.gif?width=300.
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- Zeno's_paradoxes id "5538".
- Zeno's_paradoxes id "p/a012710".
- Zeno's_paradoxes title "Antinomy".
- Zeno's_paradoxes title "Zeno's paradox".
- Zeno's_paradoxes subject Category:Mathematics_paradoxes.
- Zeno's_paradoxes subject Category:Paradoxes.
- Zeno's_paradoxes subject Category:Paradoxes_of_infinity.
- Zeno's_paradoxes subject Category:Supertasks.
- Zeno's_paradoxes type Abstraction100002137.
- Zeno's_paradoxes type Communication100033020.
- Zeno's_paradoxes type Contradiction107206887.
- Zeno's_paradoxes type Falsehood106756407.
- Zeno's_paradoxes type MathematicsParadoxes.
- Zeno's_paradoxes type Message106598915.
- Zeno's_paradoxes type Paradox106724559.
- Zeno's_paradoxes type Paradoxes.
- Zeno's_paradoxes type Statement106722453.
- Zeno's_paradoxes comment "Zeno's paradoxes are a set of philosophical problems generally thought to have been devised by Greek philosopher Zeno of Elea (ca. 490–430 BC) to support Parmenides's doctrine that contrary to the evidence of one's senses, the belief in plurality and change is mistaken, and in particular that motion is nothing but an illusion.".
- Zeno's_paradoxes label "Paradojas de Zenón".
- Zeno's_paradoxes label "Paradoks Zeno".
- Zeno's_paradoxes label "Paradoksy Zenona z Elei".
- Zeno's_paradoxes label "Paradossi di Zenone".
- Zeno's_paradoxes label "Paradoxes de Zenó".
- Zeno's_paradoxes label "Paradoxes de Zénon".
- Zeno's_paradoxes label "Paradoxos de Zeno".
- Zeno's_paradoxes label "Zeno's paradoxen".
- Zeno's_paradoxes label "Zeno's paradoxes".
- Zeno's_paradoxes label "Zenon'un paradoksları".
- Zeno's_paradoxes label "Zenons Paradoxien der Vielheit".
- Zeno's_paradoxes label "Zenónovy paradoxy".
- Zeno's_paradoxes label "Zénón paradoxonjai".
- Zeno's_paradoxes label "Апории Зенона".
- Zeno's_paradoxes label "Парадокси на Зенон".
- Zeno's_paradoxes label "ゼノンのパラドックス".
- Zeno's_paradoxes label "제논의 역설".
- Zeno's_paradoxes sameAs Zenónovy_paradoxy.
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- Zeno's_paradoxes sameAs Παράδοξα_του_Ζήνωνα.
- Zeno's_paradoxes sameAs Paradojas_de_Zenón.
- Zeno's_paradoxes sameAs Paradoxes_de_Zénon.
- Zeno's_paradoxes sameAs Paradoks_Zeno.
- Zeno's_paradoxes sameAs Paradossi_di_Zenone.
- Zeno's_paradoxes sameAs ゼノンのパラドックス.
- Zeno's_paradoxes sameAs 제논의_역설.
- Zeno's_paradoxes sameAs Zeno's_paradoxen.
- Zeno's_paradoxes sameAs Paradoksy_Zenona_z_Elei.
- Zeno's_paradoxes sameAs Paradoxos_de_Zeno.
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- Zeno's_paradoxes depiction Race_between_Achilles_and_the_tortoise.gif.
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