[6] Assuming an age for Socrates of around 20 and taking the date of Socrates' birth as 469 BC gives an approximate date of birth for Zeno of 490 BC. was an important Pre-Socratic Greek philosopher from the Greek colony of Elea in southern Italy. Aristotle called him the ‘founder of dialectic’. Zeno of Elea (ca. Parmenides, along with Zeno and Melissus of Samos, are grouped together as members of the Eleatic school of philosophy. Zeno was the son of a certain Teleutagoras and the pupil and friend of Parmenides. Zeno was an Eleatic philosopher, a native of Elea (Velia) in Italy, son of Teleutagoras, and the favorite disciple of Parmenides. Only fragments of this book are extant. Zeno is especially known for his paradoxes that contributed to the development of logical and mathematical rigour and that were insoluble until the development of precise concepts of continuity and infinity . Yet he incorporated arguments for each: for the first premise, he argued that that which, added to or subtracted from something else, does not increase or decrease the second unit is nothing; for the second, that a unit, being one, is homogeneous and that therefore, if divisible, it cannot be divisible at one point rather than another; for the third, that a unit, if divisible, is divisible either into extended minima, which contradicts the second premise or, because of the first premise, into nothing. That Zeno was arguing against actual opponents, Pythagoreans who believed in a plurality composed of numbers that were thought of as extended units, is a matter of controversy. After two thousand years of continual refutation, these sophisms were reinstated, and made the foundation of a mathematical renaissance...", Lives and Opinions of Eminent Philosophers, Dictionary of Greek and Roman Biography and Mythology, https://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A1999.01.0258%3Abook%3D9%3Achapter%3D5, "The Purpose of Zeno's Arguments on Motion", Ancient Greek and Hellenistic mathematics, https://en.wikipedia.org/w/index.php?title=Zeno_of_Elea&oldid=1013732725, Wikipedia articles incorporating a citation from the DGRBM, Wikipedia articles incorporating a citation from the DGRBM without a Wikisource reference, Short description is different from Wikidata, Articles with unsourced statements from May 2008, Articles with unsourced statements from February 2013, Wikipedia articles incorporating the template Lives of the Eminent Philosophers, Wikipedia articles with BIBSYS identifiers, Wikipedia articles with CANTIC identifiers, Wikipedia articles with CINII identifiers, Wikipedia articles with PLWABN identifiers, Wikipedia articles with SELIBR identifiers, Wikipedia articles with SUDOC identifiers, Wikipedia articles with WORLDCATID identifiers, Wikipedia articles with multiple identifiers, Creative Commons Attribution-ShareAlike License, Lewis, Eric. 490 BC? Whatever has magnitude can be divided into distinguishable parts; whatever has distinguishable parts is not everywhere the same as itself; thus, whatever has magn… But you were disappointed; for the tyrant Ð ca. Zeno was famous for the paradoxes whereby, in order to recommend the Parmenidean doctrine of the existence of “the one” (i.e., indivisible reality), he sought to controvert the commonsense belief in the existence of “the many” (i.e., distinguishable qualities and things capable of motion). [11] According to Valerius Maximus, when he was tortured to reveal the name of his colleagues in conspiracy, Zeno refused to reveal their names, although he said that he did have a secret that would be advantageous for Nearchus to hear. Zeno of Elea certainly is one of them. "Zeno’s Dichotomy in Aristotle. “Achilles and the Tortoise” is the easiest to understand, but it’s devilishly difficult to explain away. Zeno's Paradox, Aporia, Achilles, Tortoise: First-Ever Metaphysical Solution Truth is no longer, if just one of its elements is amputated See also paradoxes of Zeno. [3], Little is known for certain about Zeno's life. In his famous paradoxes he attempted to shows that pluralism (i.e. [22], Ancient Greek philosopher best known for his paradoxes, This article is about the 5th century BC Greek philosopher, famed for his paradoxes. Each of the many is the same as itself and one. Zeno made use of three premises: first, that any unit has magnitude; second, that it is infinitely divisible; and third, that it is indivisible. "Why Mathematical Solutions of Zeno’s Paradoxes Miss the Point: Zeno’s One and many Relation and Parmenides’ Prohibition. Plato has Socrates paraphrase the "first thesis of the first argument" of Zeno's work as follows: "If being is many, it must be both like and unlike, and this is impossible, for neither can the like be unlike, nor the unlike like."[6]. Others content themselves with reckoning Parmenides as well as Zeno as belonging to the Pythagorean school, or with speaking of a Parraenidean life, in the same way as a Pythagorean life is spoken of; and even the censorious Timon allows Parmenides to have been a high-minded man; while Plato speaks of him with veneration, and Aristotle and others give him an unqualified preference over the rest of the Eleatics. For other uses, see, Zeno shows the Doors to Truth and Falsity (, Russell (1996 [1903]), p. 347: "In this capricious world nothing is more capricious than posthumous fame. He appears to have resided some time at Athens, and is said Zeno and Zeno Later on Zeno of Citium, in accordance with Universal Reason, ate all of Zeno of Elea's leftovers, because Zeno of Elea doesn't deserve them after the mess he left. He was a fervent disciple of Parmenides with whom he … Although many ancient writers refer to the writings of Zeno, none of his works survive intact. I say wrong, According to Diogenes Laërtius, Zeno conspired to overthrow Nearchus the tyrant. The main source of our knowledge of Zeno comes from the dialogue Parmenides written by Plato. Zeno of Elea (c. 490 - 430 B.C.) On contemporary assessments, this paradox is largely considered to be Zeno’s weakest surviving paradox. "[19], Zeno is also regarded as the first philosopher who dealt with the earliest attestable accounts of mathematical infinity. Zeno of Elea (490-430 BC) is famous for his paradoxes that seem to prove, among other points, that no movement is possible. Zeno of Elea was the student to Parmenides; an ancient philosopher who believed that motion was an illusion and that everything in the known world was one. This form of argument soon became known as the epicheirema. [14], Zeno may have also interacted with other tyrants. Plato’s account of Zeno’s purpose (Parmenides), however, is presumably accurate. [6] Plato also has Zeno say that this work "meant to protect the arguments of Parmenides",[6] was written in Zeno's youth, stolen, and published without his consent. 430 BC?) Although written nearly a century after Zeno's death, the primary source of biographical information about Zeno is Plato's Parmenides[4] and he is also mentioned in Aristotle's Physics. Zeno of Elea (born ca. By signing up for this email, you are agreeing to news, offers, and information from Encyclopaedia Britannica. Zeno of Elea (commonly known as Zeno) was a pre-Socratic Greek philosopher. Zeno of Elea… 488 BCE.) In early youth he collected his arguments in a book, which, according to Plato, was put into circulation without his knowledge. The main sources on the nature of Zeno's arguments on motion, in fact, come from the writings of Aristotle and Simplicius of Cilicia. Previous Post Previous post: ___ Crane co-creator of the famous sitcom Friends. 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