21. Theaetetus By Plato Read classic literature including theaetetus by Plato at 4literature.net As I was going down to the harbour, I met theaetetushe was being carried up to athens from the army at Corinth. http://www.4literature.net/Plato/Theaetetus

Books [ Titles Authors Articles Front Page ... FAQ Theaetetus by Plato Buy more than 2,000 books on a single CD-ROM for only $19.99. That's less then a penny per book! Click here for more information. Read, write, or comment on essays about Theaetetus Search for books Search essays 360 BC THEAETETUS by Plato translated by Benjamin Jowett THEAETETUS - PERSONS OF THE DIALOGUE: SOCRATES; THEODORUS; THEAETETUS Euclid and Terpsion meet in front of Euclid's house in Megara; they enter the house, and the dialogue is read to them by a servant. - Euclid. Have you only just arrived from the country, Terpsion? Terpsion. No, I came some time ago: and I have been in the Agora looking for you, and wondering that I could not find you. Euc. But I was not in the city. Terp. Where then? Euc. As I was going down to the harbour, I met Theaetetus-he was being carried up to Athens from the army at Corinth. Terp. Was he alive or dead? Euc. He was scarcely alive, for he has been badly wounded; but he was suffering even more from the sickness which has broken out in the army. Terp. The dysentery, you mean?

22. Theaetetus417 BC?-369 BC? Most Of What We Know Of Theaetetus's Life Comes From T Book (was Re First incommensurables, theaetetus, etc) Author Antreas P. Hatzipolakis one ignorant of Geometry enter here" http//www.geocities.com/athens/2092/ paper1.htm 3. http://www.stetson.edu/~efriedma/periodictable/html/Te.html

Theaetetus BC BC Most of what we know of Theaetetus's life comes from the writing of Plato. It is clear that Plato held Theaetetus in the highest regard and he wrote two dialogues which had Theaetetus as the principal character. He was sent to Athens to be educated at the Academy there under Plato. He died of wounds he received in the battle between Athens and Corinth around 369 BC Theaetetus made very important contributions to mathematics, despite none of his writing having survived. Books 10 and 13 of Euclid's Elements are almost certainly a description of Theaetetus's work. This means that it was Theaetetus's work on irrational lengths which is described in the Book 10, thought by many to be the finest work of the Elements. Theaetetus was no doubt inspired by the work of Theodorus to work on incommensurables, and that he made major contributions to the theory. Given two magnitudes a and b, then the medial is ab, the binomial is a+b, and the apotome is a-b. It was also Theaetetus who "assigned the medial line to geometry, the binomial to arithmetic and the apotome to harmony". He was the first to generalize Theodorus's proof that 3, 5, ..., 17 were irrational to all non-square numbers, which he called oblong numbers. Theaetetus is also thought to be the author of the theory of proportion which appears in Eudoxus's work. Theaetetus was the first to study the octahedron and the icosahedron, the other 3 Platonic solids being studied by the Pythagoreans.

23. A History Of Irrational Numbers before, some claim this was proved by Pythagoras himself. theaetetusof athens. Born about 417 BC in athens, Greece theaetetus made http://home.zonnet.nl/mathematics/Geschiedenis/Getallen/sub4.htm

A History of irrational numbers The history of irrational numbers is almost as complex as the history of rational numbers. I have diffided it in three sectens. 1. Square roots 2. Pi 3. e Square roots Pythagoras of Samos Born: about 569 BC in Samos, Ionia Some claim he had proofed that the sqrt(2) is irrational. Theodorus of Cyrene Born: 465 BC in Cyrene (now Shahhat, Libya) Theodorus of Cyrene was a pupil of Protagoras and himself the tutor of Plato, Our whole knowledge of Theodorus's mathematical achievements are given by this passage from Plato. Yet there are points of interest which immediately arise. The first point is that Plato does not credit Theodorus with a proof that the square root of two was irrational. This must be because 2 was proved irrational before Theodorus worked on the problem, as stated before, some claim this was proved by Pythagoras himself. Theaetetus of Athens Born: about 417 BC in Athens, Greece Euclid of Alexandria Born: about 325 BC Book ten deals with the theory of irrational numbers and is mainly the work of Theaetetus. Euclid changed the proofs of several theorems in this book so that they fitted the new definition of proportion given by Eudoxus. Pi e The number e was first studied by the Swiss mathematician Leonhard Euler in the 1720s, although its existence was more or less implied in the work of John Napier, the inventor of logarithms, in 1614. Euler was also the first to use the letter e for it in 1727 (the fact that it is the first letter of his surname is coincidental). As a result, sometimes e is called the Euler Number, the Eulerian Number, or Napier's Constant (but not Euler's Constant).

24. Project BookRead - FREE Online Book: Theaetetus By Plato to athens and correcting the copy from Socrates' own mouth. The narrative, having introduced theaetetus, and having http://www.tanaya.net/Books/thtus10

Theaetetus Plato Theaetetus Plato Translated by Benjamin Jowett INTRODUCTION AND ANALYSIS. Some dialogues of Plato are of so various a character that their relation to the other dialogues cannot be determined with any degree of certainty. The Theaetetus, like the Parmenides, has points of similarity both with his earlier and his later writings. The perfection of style, the humour, the dramatic interest, the complexity of structure, the fertility of illustration, the shifting of the points of view, are characteristic of his best period of authorship. The vain search, the negative conclusion, the figure of the midwives, the constant profession of ignorance on the part of Socrates, also bear the stamp of the early dialogues, in which the original Socrates is not yet Platonized. Had we no other indications, we should be disposed to range the Theaetetus with the Apology and the Phaedrus, and perhaps even with the Protagoras and the Laches. But when we pass from the style to an examination of the subject, we trace a connection with the later rather than with the earlier dialogues. In the

25. NBI: Raphael, School Of Athens, Plato Plato (427 347 BCE.). RAFFAELLO SANZIO, The School of athens (detail) Plato (likenessof Leonardo da Vinci). PLATO theaetetus (text, in English, at VT.EDU). http://www.newbanner.com/AboutPic/athena/raphael/nbi_plat.html

Plato (427 - 347 BCE.) RAFFAELLO SANZIO, The School of Athens (detail): Plato (likeness of Leonardo da Vinci). Documents PLATO: Alcibiades 1 (html, in English, at PERSEUS) PLATO: Alcibiades 2 (html, in English, at PERSEUS) PLATO: Apologia di Socrate (testo, zip, in italiano, trad. Stazzone, a UNIMI/MANUZIO) PLATO: Apology (html, in English, at MIT) PLATO: Apology (html, in English, at PERSEUS) PLATO: Charmides, or Temperance (html, in English, at MIT) PLATO: Charmides (text, in English, at VT.EDU) PLATO: Charmides (html, in English, at PERSEUS) PLATO: Cleitophon (html, in English, at PERSEUS) PLATO: Cratylus (html, in English, at MIT) PLATO: Cratylus (html, in English, at PERSEUS) PLATO: Critias (text, in English, at VT.EDU) PLATO: Critias (html, in English, at MIT) PLATO: Critias (html, in English, at PERSEUS) PLATO: Crito (html, in English, with commentary, at UOREGON) PLATO: Crito (html, in English, at MIT) PLATO: Crito (text, in English, at WIRETAP) PLATO: Crito (html, in English, at PERSEUS) PLATO: Critone (testo, zip, in italiano, trad. Sassi. a UNIMI/MANUZIO) PLATO: Epinomis (html, in English, at PERSEUS)

26. Euclid If he did exist, he must have studied in Plato's Academy in athens to have learntof the geometry of Eudoxus and theaetetus of which he was so familiar. http://www.stetson.edu/~efriedma/periodictable/html/Eu.html

Euclid BC BC Little is known of Euclid's life. It is has even been suggested that Euclid never existed, and his works were written by a team of mathematicians. But there is strong evidence that Euclid actually existed and wrote the works attributed to him. If he did exist, he must have studied in Plato's Academy in Athens to have learnt of the geometry of Eudoxus and Theaetetus of which he was so familiar. We assume he taught at Alexandria in Egypt. Euclid's most famous work is his treatise on mathematics The Elements . The book was a compilation of knowledge that became the centre of mathematical teaching for 2000 years. Probably no results in it were first proved by Euclid, but the organisation of the material and its exposition are certainly his. The Elements begins with definitions and 5 postulates. The first 3 postulates are postulates of construction, which implicitly assume the existence of points, lines and circles and the existence of other geometric objects. The fourth and fifth postulates are of a different nature. Postulate 4 states that all right angles are equal. This may seem "obvious" but it actually assumes that space in homogeneous. The famous fifth, or parallel, postulate states that one and only one line can be drawn through a point parallel to a given line. Euclid's decision to make this a postulate led to Euclidean geometry. It was not until the 19th century that this postulate was dropped and non-euclidean geometries were studied. There are also axioms which Euclid calls "common notions", such as "Things which are equal to the same thing are equal to each other".

27. Zeal.com - United States - New - Library - Humanities - History - Europe - Ancie wwwgroups.mcs.st-and.ac.uk/~history/BirthplaceMaps/P Features profiles on thegreat minds of athens including Antiphon, Plato, theaetetus, and Zenodorus. http://www.zeal.com/category/preview.jhtml?cid=564123

28. ... A Footnote To Plato: An Introduction To Plato's Theaetetus- Paul Rezendes- T In a rich dramatic setting typical of the early dialogues, we learn of the returnto athens of the deathly ill theaetetus, whom our narrator Euclid describes http://examinedlifejournal.com/articles/template.php?shorttitle=theatetus&author

29. THEAETETUS By Plato Euc. As I was going down to the harbour, I met theaetetushe was being carriedup to athens from the army at Corinth. Terp. Was he alive or dead? http://www.geocities.com/Athens/Academy/3963/books/theaetet.htm

360 BC THEAETETUS by Plato translated by Benjamin Jowett PERSONS OF THE DIALOGUE: SOCRATES; THEODORUS; THEAETETUS. Euclid and Terpsion meet in front of Euclid's house in Megara; they enter the house, and the dialogue is read to them by a servant. [Euclid] Have you only just arrived from the country, Terpsion? [Terpsion] No, I came some time ago: and I have been in the Agora looking for you, and wondering that I could not find you. [Euc.] But I was not in the city. [Terp.] Where then? [Euc.] As I was going down to the harbour, I met Theaetetus-he was being carried up to Athens from the army at Corinth. [Terp.] Was he alive or dead? [Euc.] He was scarcely alive, for he has been badly wounded; but he was suffering even more from the sickness which has broken out in the army. [Terp.] The dysentery, you mean? [Euc.] Yes. [Terp.] Alas! what a loss he will be! [Euc.] Yes, Terpsion, he is a noble fellow; only to-day I heard some people highly praising his behaviour in this very battle. [Terp.] No wonder; I should rather be surprised at hearing anything else of him. But why did he go on, instead of stopping at Megara? [Euc.] He wanted to get home: although I entreated and advised him to remain he would not listen to me; so I set him on his way, and turned back, and then I remembered what Socrates had said of him, and thought how remarkably this, like all his predictions, had been fulfilled. I believe that he had seen him a little before his own death, when Theaetetus was a youth, and he had a memorable conversation with him, which he repeated to me when I came to Athens; he was full of admiration of his genius, and said that he would most certainly be a great man, if he lived.

30. Theaetetus Plato's theaetetus An Adequate Theory of Knowledge? But such a hasty conclusionoverlooks the real progress towards a theory that the theaetetus does make. http://www.geocities.com/Athens/Agora/4405/Theaetetus.html

February 25, 1998 Plato's Theaetetus An Adequate Theory of Knowledge? by Korihor Since Socrates does not outline a complete epistemological theory in the Theaetetus , one might argue that after reading it, we are no closer to such a theory than before. But such a hasty conclusion overlooks the real progress towards a theory that the Theaetetus does make. First, by critiquing the serious flaws that exist in other theories, Socrates at the very least shows us what does not work. By showing the mistakes that other philosophers made, he paves the way for someone else to conceive of a better theory, who can learn from their mistakes. Second, although the Theaetetus is for the most part deconstructive, it must be noted that Socrates does come to a few conclusions about what a theory of knowledge must have. For example, by critiquing Protagorean relativism as an untenable theory, he makes it clear that an account of knowledge must be objective and universally true. Anything less would fall under the relativism critique. In 186d, he also makes clear that knowledge, "is to be found not in the experiences but in the process of reasoning about them; it is here, seemingly, not in the experiences, that is possible to grasp being and truth." (Emphasis mine) Thus, he limits knowledge to being a cognitive function, rather than to what’s external. One, having read Plato’s theory of forms, could conceivably integrate the two by positing that the Forms are external phenomenon while knowledge is defined as the act of perceiving a Form.

31. Encyclopædia Britannica Visit Britannica Store, Encyclopædia Britannica, theaetetus EncyclopædiaBritannica Article. born c. 417 BC , athens Greece died 369 , athens. http://www.britannica.com/eb/article?eu=73825

32. Ziniewicz On Theaetetus Of Plato Part Two The trial is Socrates' final chance to educate athens. the worldly and the otherworldly is not sufficiently arousing to awaken both theaetetus and Theodorus http://www.fred.net/tzaka/theatet2.html

GREEK PHIL Knowledge and Virtue in Plato's Theaetetus: Part Two by Gordon L. Ziniewicz 18. It is important to understand the full implications (and ambiguity) of Theaetetus' response that "knowledge is simply perception." (151e) The word perception ( aisthesis 19. One might ask if the geometer knows the Pythagorean theorem even when he is not picturing it to himself. Similar refutations will emerge in subsequent discussion, including the problem of seeing versus remembering. What Theaetetus has in mind is something like Heraclitus' saying, "I prefer things which can be seen, heard, and perceived." (Fragment 55) The question of direct versus hearsay evidence, of great importance in courts of law, may, ironically, have something to do with knowledge. The Theaetetus 20. One could make the case that as long as the argument looks for knowledge in the sphere of opinion in the dark, as it were such looking is doomed to failure. There is no way within the flux of opinion to find knowledge, except in the negative sense to find that it cannot be found there. Heraclitus wrote: "Eyes and ears give bad testimony to men, if men's souls do not understand what their eyes and ears are telling them." (Fragment 107) Perception and opinion are meaningless unless some stable meaning (

33. Best Books: /Philosophy/400BC-301BC/plato-theaetetus-359.txt-ps50-pn2 up from memory, writing them out at leisure; and whenever I went to athens, I asked Itoo shall be very glad of a rest, for I went with theaetetus as far as http://www.rosinstrument.com/cgi-bin/showtext.pl/Philosophy/400BC-301BC/plato-th

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34. Philosophy And Science In The Greco Katerina Ierodiakonou (National Technical University, athens/ St He published a Hungariantranslation and commentary of Plato’s theaetetus and is preparing a http://www.ceu.hu/sun/sun 2003 modmod/courses/philosophy_and_science_2003.htm

Central European University A Program for University Teachers, Researchers and Professionals in the Social Sciences and Humanities Summer University you are visitor no. Philosophy and Science in the Greco-Roman World July 7 - 18, 2003 Course directors István Bárány (ELTE, Budapest) Gábor Betegh (CEU, Budapest) István Bodnár (ELTE/CEU, Budapest) Resource Persons: Katerina Ierodiakonou (National Technical University, Athens/ St. Hugh's College, Oxford) André Laks (Université Charles De Gaulle- Lille III) Henry R. Mendell (California State University) Reviel Netz (Stanford University) David N. Sedley (University of Cambridge) Leonid Zhmud (Institute for the History of Science and Technology, St. Petersburg) István Bárány Assistant Professor at at Eötvös University, Budapest. He is currently a Mellon Research Fellow at the Warburg Institute of London. His main area of research is Platonic philosophy and ancient epistemology. He published a Hungarian translation and commentary of Plato’s Theaetetus and is preparing a translation and commentary of the Protagoras Gábor Betegh Assistant Professor at the Philosophy Department of Central European University. He earned his PhD at the École des Hautes Études en Sciences Sociales, Paris and at the Eötvös University, Budapest. He conducted research at Christ's College, Cambridge and was a Junior Fellow at the Center for Hellenic Studies of Harvard University. He has published on various aspects of ancient cosmology, and his book

35. Project BookRead - FREE Online Book: Theaetetus By Plato Euclides as from time to time coming to athens and correcting the copy from Socrates'own mouth. The narrative, having introduced theaetetus, and having http://tanaya.net/Books/thtus10/

Theaetetus Plato Theaetetus Plato Translated by Benjamin Jowett INTRODUCTION AND ANALYSIS. Some dialogues of Plato are of so various a character that their relation to the other dialogues cannot be determined with any degree of certainty. The Theaetetus, like the Parmenides, has points of similarity both with his earlier and his later writings. The perfection of style, the humour, the dramatic interest, the complexity of structure, the fertility of illustration, the shifting of the points of view, are characteristic of his best period of authorship. The vain search, the negative conclusion, the figure of the midwives, the constant profession of ignorance on the part of Socrates, also bear the stamp of the early dialogues, in which the original Socrates is not yet Platonized. Had we no other indications, we should be disposed to range the Theaetetus with the Apology and the Phaedrus, and perhaps even with the Protagoras and the Laches. But when we pass from the style to an examination of the subject, we trace a connection with the later rather than with the earlier dialogues. In the

36. The Portrait Of The Philosopher In The Theaetetus In a society like 5th century athens, late 16th who when stargazing fell down awell, much to the amusement of a pert Thracian miss (theaetetus, 174a 175e http://plato-dialogues.org/email/961120_1.htm

Bernard SUZANNE Last updated November 21, 1998 Plato and his dialogues : Home Biography Works and links to them History of interpretation New hypotheses - Map of dialogues : table version or non tabular version . Tools : Index of persons and locations Detailed and synoptic chronologies - Maps of Ancient Greek World . Site information : About the author E-mail Archives : The portrait of the philosopher in the November 20-23, 1996 This page is part of the "e-mail archives" section of a site, Plato and his dialogues , dedicated to developing a new interpretation of Plato's dialogues. The "e-mail archives" section includes HTML edited versions of posts that I submitted on various e-mail discussion lists about Plato and ancient philosophy. Date : November 20, 1996, 21:19:15 Subject : re: perfect society Nicholas Denyer writes: Theaetetus, ). Such people will have their minds so full of (to adapt an example from Theaetetus 175c) the Car itself that they will not be bothered about where their own cars are parked. Be careful that the portrait of the philosopher in the you are refering to, which is at the exact center of the dialogue, in opposition to the portrait of the rhetor, might not be the portrait of the philosopher according to Socrates/Plato's mind! If you read carefully the Greek text (not a translation that adds subjects that aren't there to split the too long phrases of Plato), you will find out that the word

37. Theaetetus Name Theaitetos. Occupation From Sounion, athens. Son of Euphronios.Occupation Dates c. 417369 BC. Brief biography Studied http://www.swan.ac.uk/classics/staff/ter/grst/People/Theaetetus.htm

Name Theaitetos Occupation: From Sounion, Athens Son of: Euphronios Occupation: Dates c. 417-369 BC Brief biography Studied with Theodoros of Cyrene and at the Academy with Plato. Father died before he reached manhood and left a large fortune but the trustees of the estate squandered it. At some time taught in Herakleia in Pontus; may have taught Herakleides. Died from disease contracted after wounding in battle (prob. v. Korinth 369) Contributed to the theory of irrational quantities, construction of regular solids, and theory of proportions, built upon by Eudoxos and set out by Euclid bk 5. Eponym of one Platonic dialogue and principal character of Sophist Context Works No writings survive, even as frags.. References I Bulmer-Thomas DSB T E Rihll Last modified: 11 March 2003

38. THEAETETUS Through the eyes of Eucleides, we see a sick and mortally, wounded Theaetetusbeing carried back to athens from the battlefields near Corinth. http://caae.phil.cmu.edu/Cavalier/80250/Plato/Theatetus/Theat.html

THE PATH OF KNOWLEDGE: THE THEAETETUS The Theaetetus can be considered a Socratic dialogue, since in it we do not arrive at any definitive answers to the questions which are posed. Its central concern is the problem of knowledge, yet its main conclusions all serve to show us what knowledge is not. Be this as it may, the Theaeteus rightfully belongs to the later set of dialogues since it prepares the way for the truly Platonic analyses of knowledge which are found in the Sophist. The Theaeteus, by clearing away many false opinions, allows Plato to introduce his own full-blown theory, a theory which connects the problem of knowledge with the realm of the Forms. Because of this interconnection between the two dialogues, and because the analyses of the Sophist presuppose the negative critiques of the Theaeteus, we shall begin our path of knowledge with the Socratic problem. The dialogue opens with a brief prologue which serves to date the time of the supposed conversation. An introduction then guides the reader into the setting for the discussions which were to have taken place between an aging Socrates and a youthful Theaetetus. It ishere that the dialogue is given its direction through the posing of its central question: "What is the nature of knowledge?" Theaetetus makes three general attempts to answer this question, and his responses form the major divisions of the work. The first attempt tries to equate knowledge with sense perception; the second speaks of knowledge as true judgement (but how do we know that a judgement is true?); the third response augments the second by saying that knowledge is true Judgement accompanied by an explanation. Yet Socrates is able to show Theaetetus that each attempt to arrive at an absolute answer to the problem of knowledge is fatally flawed. In the end, we are left with an awareness of our ignorance concerning the nature of knowledge (and the way is prepared for the more thoroughgolng analyses of the Sophist).

39. Torrey Honors Institute Home Page--School Of Athens Plato's theaetetus, Parmenides, and Sophist are preoccupied with Parmenidean problems. Hewas a pupil and assistant at Plato's Academy in athens, but later http://www.biola.edu/academics/torrey/athens/lowerleft.cfm

Torrey Abroad Torrey Ministries The School of Athens: Lower left close-up by Raffaello Sanzio (Raphael), 1483-1520 Zeno of Citium (far left, with green cap and beard): The founder of Stoicism, Zeno was born in Cyprus in 336 BC, and died in 261 BC. He went to Athens around 313. He sought live a life that to "followed reason"dignified, free from passion. He believed that one was either a good person in every way (a Stoic sage), or if one had any faults, that one was completely without virtue. He believed that the human soul is solely reason (logos). All other aspects of humanity, including emotions, should be eliminated. Epicurus (left, with the grape leaf wreath): A Greek philosopher who lived from 341-270 BC, he founded the system known as Epicureanism. After studying with followers of Plato, he opened his own school (later called the Garden) in Athens. Epicurus' school was unusual in that it accepted women and slaves as students. Though the school was accused of sponsoring debauchery, it was actually quite austere. Most of the writings of Epicurus have been lost. Averroes (just right of Epicurus, with white cap and bending over): Averroes (Arabic: Ibn Rushd), 1126-98, was a Spanish-Arab philosopher, the most noted Aristotelian scholar in Islam. He composed 38 treatises on the various works of Aristotle, among other works. His primary work was

40. Island Of Freedom - Plato He died at about the age of 80 in athens in 347 BC Plato wrote 26 dialogueson various The best of the late dialogues are Parmenides and theaetetus. http://www.island-of-freedom.com/PLATO.HTM

Plato 427-347 B.C. D. Anthony Storm's Web Site on Plato Plato and his dialogues Art, Science, and Transcendence: a comparison between Tolstoy and Plato - compares Plato's doctrine of Eros with Tolstoy's expression theory of art On-line Works by Plato Plato was born to an aristocratic family in Athens. His father, Ariston, was believed to have descended from the early kings of Athens. Perictione, his mother, was distantly related to the 6th-century B.C. lawmaker Solon. When Plato was a child, his father died, and his mother married Pyrilampes, who was an associate of the statesman Pericles. As a young man Plato had political ambitions, but he became disillusioned by the political leadership in Athens. He eventually became a disciple of Socrates, accepting his basic philosophy and dialectical style of debate: the pursuit of truth through questions, answers, and additional questions. Plato witnessed the death of Socrates at the hands of the Athenian democracy in 399 B.C. Perhaps fearing for his own safety, he left Athens temporarily and traveled to Italy, Sicily, and Egypt. In 389 B.C. he founded the "Academy" in Athens, the institution often described as the first European university. It provided a comprehensive curriculum, including such subjects as astronomy, biology, mathematics, political theory, and philosophy. The main purpose of the Academy was to cultivate thought to lead to a restoration of decent government in the cities of Greece. Pursuing an opportunity to combine philosophy and practical politics, Plato went to Sicily in 367 to tutor the new ruler of Syracuse, Dionysius the Younger, in the art of philosophical rule. The experiment failed. Plato made another trip to Syracuse in 361, but again his engagement in Sicilian affairs met with little success. The concluding years of his life were spent lecturing at the Academy and writing. He died at about the age of 80 in Athens in 347 B.C.

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