The Internet Classics Archive | Theaetetus By Plato theaetetus by Plato, part of the Internet Classics Archive to the harbour, I met theaetetushe was being carried up to athens from the army at Corinth before his own death, when theaetetus was a youth, and he had http://classics.mit.edu/Plato/theatu.html
Theaetetus clear that Plato held theaetetus in the highest regard and he wrote two dialogueswhich had theaetetus as the principal character. He was sent to athens to be http://www.stetson.edu/~efriedma/periodictable/html/Te.html
Extractions: 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.
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
Extractions: 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".
Theaetetus -- Encyclopædia Britannica born c. 417 BC, athens Greece died 369, athens Athenian mathematician who had asignificant influence on the development of Greek geometry. theaetetus was a http://www.britannica.com/eb/article?eu=73825
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
Extractions: (427 - 347 BCE.) RAFFAELLO SANZIO, The School of Athens (detail): Plato (likeness of Leonardo da Vinci). 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)
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
Extractions: 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. Born: about 417 BC in Athens, Greece 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. 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).
Theaetetus Where then? Euc. As I was going down to the harbour, I met theaetetushe was beingcarried up to athens from the army at Corinth. Terp. Was he alive or dead? http://www.molloy.edu/academic/philosophy/sophia/plato/theaetetus.htm
Extractions: Scene : 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?
Plato's Academy - 428 - 347BC b. 415 BC, theaetetus, a member of Plato s Academy, creates solid geometry of Plato sAcademy, made famous by Raphael s painting, The School of athens. Draw a http://www.virtualology.com/virtualmuseumofnaturalhistory/hallofanthropology/gre
Extractions: You are in: Museum of History Hall of Rhetoric Rhetorical Theory Plato's Academy - 428 - 347BC Plato founded in 387 BC, on land which had belonged to Academos, a school of learning which being situated in the grove of Academos was called the Academy. He presided over his Academy in Athens, an institution devoted to research and instruction in philosophy and the sciences until his death. After his death the Academy continued to flourished for over 900 years until in 529 AD when it was closed down by Emperor Justinian who claimed it was a pagan establishment.
Theaetetus - Introduction And Analysis Agora; the latter explains that he has been down to the harbour, and on his waythither had met theaetetus, who was being carried up from the army to athens. http://www.worldwideschool.org/library/books/lit/socialcommentary/Theaetetus/Cha
Extractions: by Plato translated by B. Jowett Terms Contents Introduction and Analysis Part II ... Part VI Introduction and Analysis ome 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. The direct indications of a date amount to no more than this: the conversation is said to have taken place when Theaetetus was a youth, and shortly before the death of Socrates. At the time of his own death he is supposed to be a full-grown man. Allowing nine or ten years for the interval between youth and manhood, the dialogue could not have been written earlier than 390, when Plato was about thirty-nine years of age. No more definite date is indicated by the engagement in which Theaetetus is said to have fallen or to have been wounded, and which may have taken place any time during the Corinthian war, between the years 390-387. The later date which has been suggested, 369, when the Athenians and Lacedaemonians disputed the Isthmus with Epaminondas, would make the age of Theaetetus at his death forty-five or forty-six. This a little impairs the beauty of Socrates' remark, that 'he would be a great man if he lived.'
Theaetetus - Theaetetus EUCLID As I was going down to the harbour, I met Theaetetushe was being carriedup to athens from the army at Corinth. TERPSION Was he alive or dead? http://www.worldwideschool.org/library/books/lit/socialcommentary/Theaetetus/cha
Extractions: by Plato translated by B. Jowett Terms Contents Introduction and Analysis Part II ... Part VI Theaetetus ERSONS 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. EUCLID: But I was not in the city. TERPSION: Where then? EUCLID: As I was going down to the harbour, I met Theaetetushe was being carried up to Athens from the army at Corinth. TERPSION: Was he alive or dead? EUCLID: 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. TERPSION: The dysentery, you mean? EUCLID: Yes. TERPSION: Alas! what a loss he will be! EUCLID: Yes, Terpsion, he is a noble fellow; only to-day I heard some people highly praising his behaviour in this very battle. TERPSION: No wonder; I should rather be surprised at hearing anything else of him. But why did he go on, instead of stopping at Megara?
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
Extractions: GREEK PHIL Knowledge and Virtue in Plato's Theaetetus: Part Two by Gordon L. Ziniewicz 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 (
ClassicNotes: Plato The works produced in these years theaetetus, Parmenides, Philebus, Laws, and Timaeus,constitute the in his sleep at about the age of 80 in athens in 348 or http://www.gradesaver.com/ClassicNotes/Authors/about_plato.html
Extractions: Plato's biography is mainly drawn from the work of other ancient writers and a few of Plato's own letters. He was born in Athens around 428 BC to an aristocratic family with a long and esteemed history of political leadership in the state. According to an anecdote of dubious veracity, Plato was originally named Aristocles, but was quickly dubbed, "Platon," meaning "broad," by schoolmates impressed with his broad shouldersshoulders that would one day burden themselves with the foundational weight of Western thought. Plato's father, Ariston, descended from the early kings of Athens, and his mother, Perictone, from a distinguished line that included 6th Century BC legislator Solon. Plato's father died when Plato was a young child; his mother, unable to support Plato, his two older brothers Adeimantus and Glaucon, and his young sister Potone on her own, remarried to Pyrilampes, an associate of the statesman Pericles. Socrates has been credited with teaching Plato basic philosophy along with his dialectic style of debate, in which the truth is elucidated through a series of questions and answers. It is also thought that Socrates directed his disciple's inquiries toward the question of virtue and how it manifested itself into the nobility of human character. If there is a broader context under which Plato's philosophy developed, eventually unifying to some extent metaphysics, epistemology, aesthetics, politics, and ethics, it is the pursuit of virtue.
Theaetetus 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.kat.gr/kat/history/Txt/Cl/Plato/Dial/Theaetetus.htm
Extractions: 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.
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
Extractions: 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).
Theaetetus 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. http://www.ac-nice.fr/philo/textes/Plato-Works/21-Theaetetus.htm
Extractions: SOCRATES ; THEODORUS ; THEAETETUS. Scene : Euclid and Terpsion meet in front of Euclids 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.
Plato: Theaetetus EUCLID As I was going down to the harbour, I met theaetetus he was being carriedup to athens from the army at Corinth. TERPSION Was he alive or dead? http://www.sliderfamily.net/theaetetus.html
Extractions: SOCRATES; THEODORUS; THEAETETUS. Scene: Euclid and Terpsion meet in front of Euclids 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. EUCLID: But I was not in the city. TERPSION: Where then? TERPSION: Was he alive or dead? EUCLID: 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. TERPSION: The dysentery, you mean? EUCLID: Yes. TERPSION: Alas! what a loss he will be! EUCLID: Yes, Terpsion, he is a noble fellow; only to-day I heard some people highly praising his behaviour in this very battle. TERPSION: No wonder; I should rather be surprised at hearing anything else of him. But why did he go on, instead of stopping at Megara? EUCLID: 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.
Plato, Theaetetus Where then? Euc. As I was going down to the harbor, I met theaetetus. He was beingcarried up to athens from the army at Corinth. Terp. Was he alive or dead? http://24.24.31.212/literature/POL-LDS-TEXT-Theaetetus.htm
Extractions: THEAETETUS Scene: Euclid and Terpsion meet at Euclid's house in Megara about 30 years after Socrates' death. 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 harbor, 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?
Greek Philosophy - Plato He died at about the age of 80 in athens in 348 or 347 The Meno The Symposium -The Republic - Gorgias - Phaedrus - Philebus - theaetetus - Protagoras - The http://www.hellenism.net/eng/plato.htm
Extractions: His Life 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 BC lawmaker Solon. When Plato was a child, his father died, and his mother married Pyrilampes, who was an associate of the statesman Pericles. The Peloponnesian War was fought between Athens and Sparta between 431 BC and 404 BC. Plato was in military service from 409 BC to 404 BC but at this time he wanted a political career rather than a military one. At the end of the war he joined the oligarchy of the Thirty Tyrants in Athens set up in 404 BC, one of whose leaders being his mother's brother Charmides, but their violent acts meant that Plato quickly left. In 403 BC there was a restoration of democracy at Athens and Plato had great hopes that he would be able to enter politics again. However, the excesses of Athenian political life seem to have persuaded him to give up political ambitions. In particular, the execution of Socrates in 399 BC had a profound effect on him and he decided that he would have nothing further to do with politics in Athens.
Plato, Cratylus, Theaetetus, Sophist, Statesman Terpsion Where then? Eucleides As I was going down to the harbor I met Theaetetusbeing carried to athens from the camp at Corinth. Terpsion Alive or dead? http://www.chlt.org/cgi-bin/ptext?doc=Perseus:text:1999.01.0172:div1=Theaet.
