Fulton Street Gallery - Interior: Artist As Decorator Note theaetetus of athens was a student of Platos and the creator of solidgeometry. He was the first to study and construct all five regular solids. http://www.fultonstreetgallery.org/exhibits/interior - artist as decorator/jim l
Extractions: Jim Lewis / Coordinator Sound collaboration with Stephen Moore If thought is creative, is interior different from exterior because of time or because of space? Or is it a question of outlook? The Kingdom of God is within you, kiddo. As I was working on this show, I looked to artists who play with these themes. I wanted pieces that tweak the boundaries, that would be perfectly acceptable furniture yet equally at home in a gallery. I wanted art that hits us where we live. I have a fascination with mathematics, geometry in particular. What is it about those Platonic Euclid's Elements .] The Greeks called math the calculus (stone) because they played it with pebbles in the dust. Very physical and oh so obvious. Square numbers make a square array, 3 x 3. Rectangular numbers make rectangles, 3 x 4, 4 x 5. As simple as that.
Extractions: ABSTRACT As Alexander reached Persepolis in January 330 BC he met a large group of newly released Greek captives who had been severely mutilated during Persian enslavement. Alexander agreed to aid their resettlement. The men debated whether to return to Greece with money in hand and disperse to their old families, who might be shocked by their appearance; or to stay as a mutually supportive group and receive benefits in Persia with their local partners. Detailed review is made of the historicity of this story recorded by Quintus Curtius, Diodorus Siculus and Justin. Evidence is presented of groupings of disabled people in Middle Eastern antiquity, the transmission of stories about Alexander, textual and linguistic analysis, social responses to severe disability, and truth or exaggeration of war atrocities or gross physical abuse from antiquity and modern times. CONTENTS INTRODUCTION DISABLED PEOPLE IN GROUPS IN ANTIQUITY
Combinatorial Tiling Theory all regular polyhedra, the five Platonic solids, which were treated mathematicallyby theaetetus of athens and in Euclid s Elements over 2000 years ago. http://www.mathematik.uni-bielefeld.de/~huson/approach.html
Extractions: Clearly, the art of designing tilings and patterns is very old and well developed. But also the science of tilings and patterns, i.e. the study of their mathematical properties, has its roots in antiquity. One of the earliest known results in mathematics is the enumeration of all regular polyhedra, the five Platonic solids, which were treated mathematically by Theaetetus of Athens and in Euclid's Elements over 2000 years ago. The classification of all 13 semi-regular polyhedra goes back to Archimedes and earlier. A further milestone is Kepler's work (1571-1630) on 2- and 3-dimensional packings and tilings, such as the classification of all Archimedian tilings of the plane. Let be an index set. Recall that a Coxeter matrix M:IxI -> N is a map with Mii=1 and Mij>1 (if i not equal to j), that is often depicted as a graph with vertex set I, in which any two vertices i,j with are connected by an edge labeled Mij. Interpreting each i in I as a mirror and Mij as the angle between two such mirrors, Coxeter (1934) used these matrices (or graphs) to systematically investigate d-dimensional symmetry groups generated by reflections. In their comprehensive book, Gruenbaum and Shephard survey the work devoted to the classification of periodic patterns and tilings (1987). Many papers have been written on the subject, especially in the two-dimensional case. For example, the classification of all tile-transitive tilings of the plane is treated in (Delone 1959, Delone et al. 1978, Heesch 1968, Gruenbaum and Shephard 1979). Later, this classification was again derived as a simple and paradigmatic application of Delaney symbols in (Dress and Scharlau 1984). Similarly, all tile-transitive tilings of the sphere are classified in (Gruenbaum and Shephard 1981). However, for all the problems solved, the book also showed that a systematic approach to the classification of two- and higher-dimensional periodic tilings was missing.
Plato In UK Directory: Library: Philosophers MacTutor History of Mathematics theaetetus of athens Resource describes whatis known of the life of Theaetetus, the mathematician who is also a character http://www.ukdirectory.co.uk/Library/Category920753.html
Extractions: For those who are unfamiliar with this topic an outline of major discoveries is given below in chronological order: Phytagoras born about 569 BC in Samos, Ionia Greece, died about 475 BC. Although early findings acknowledged by mathematicians and historians date back before the time of Phytagoras like the Babylonians who were aquainted with the famous Pythagoras's theorem c^2=a^2+b^2 as early as 3750 BC, this was not discoverd until 1962. Some of the first basic geometric theorems are credited to Phytagoras. Phytagoras is often called the first pure mathematician; he founded a school "the semicircle" and many pupils elaborated on his findings and thoughts.
Henry Mendell Articles on Theodorus of Cyrene and theaetetus of athens, Aristarchus ofSamos , Nicomachus of Gerasa in The Encyclopedia of Classical Philosophy (ed. http://www.ceu.hu/sun/sun_2003/CV/henry_mendell_2003.htm
Extractions: AOC: Philosophy of Science, Metaphysics Publications Book with Pat Suppesand Julius Moravcsik (eds.). Ancient and Medieval Traditions in the Exact Sciences: Essays in Memory of Wilbur Knorr. Stanford: CSLI (distr. University of Chicago Press), 2001. Articles "The Trouble withEudoxus". In Pat Suppes, Julius Moravcsik, and Henry Mendell (eds.), Ancient and Medieval Traditions in the Exact Sciences: Essays in Memory of Wilbur Knorr (Stanford: CSLI (distr. University of Chicago Press), 2001), 59-138 "Making Sense of Aristotelian Demonstration". Oxford Studies in Ancient Philosophy, 16 (1998), 160-225.
Math 124 Introduction To Mathematical Thought Proclus Diadochus Claudius Ptolemy Pythagoras of Samos Thales of Miletus theaetetus of athens Zeno of Elea Socrates http://math.boisestate.edu/~tconklin/MATH124/Main/M124People.html
Biography-center - Letter T www.messagenet.com/myths/bios/medusa.html; theaetetus of athens,wwwhistory.mcs.st-and.ac.uk/~history/Mathematicians/Theaetetu s.html; Theiler, Max http://www.biography-center.com/t.html
Extractions: random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish 366 biographies T humamah ibn Uthal,
The Internet Classics Archive | Theaetetus By Plato theaetetus by Plato, part of the Internet Classics Archive. I met theaetetushewas being carried up to athens from the army at Corinth. http://classics.mit.edu/Plato/theatu.html
Theaetetus Harvard University Press/Plato, theaetetus. Sophisttheaetetus. Sophist by Plato Translated by HN Fowler, published by HarvardUniversity Plato, the great philosopher of athens, was born in 427 BC. http://turnbull.mcs.st-and.ac.uk/~history/Mathematicians/Theaetetus.html
Extractions: Version for printing 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, one of the dialogues being Theaetetus while the other is the Sophist In Theaetetus a discussion between Socrates , Theaetetus and his teacher Theodorus of Cyrene is recorded. This conversation took place in 399 BC and Theaetetus is described as a youth at the time. This allows us to give a fairly accurate date for Theaetetus's birth (although some have claimed that the Greek word could describe a man of up to 21 years old). Again from Plato we learn that Theaetetus's father, Euphronius of Sunium, was a wealthy man and left a large fortune. However, the money was squandered by the trustees of the will but despite this Theaetetus was generous to all around him. In appearance Theaetetus had a snub nose and protruding eyes but he is described by Plato as having a beautiful mind and he is also described as being the perfect gentleman.
Platos Theaetetus [Internet Encyclopedia Of Philosophy] According to the Oxford Classical Dictionary, theaetetus lived in athens (c.415369 BCE) and was a renowned geometer. He is credited with the theory of http://www.iep.utm.edu/t/theatetu.htm
Extractions: Platos Theaetetus The Theaetetus is one of the middle to later dialogues of the ancient Greek philosopher Plato . Plato was Socrates student and Aristotles teacher. As in most of Platos dialogues, the main character is Socrates. In the Theaetetus , Socrates converses with Theaetetus, a boy, and Theodorus, his mathematics teacher. Although this dialogue features Platos most sustained discussion on the concept of knowledge, it fails to yield an adequate definition of knowledge, thus ending inconclusively. Despite this lack of a positive definition, the Theaetetus has been the source of endless scholarly fascination. In addition to its main emphasis on the nature of cognition, it considers a wide variety of philosophical issues: the Socratic Dialectic, Heraclitean Flux, Protagorean Relativism, rhetorical versus philosophical life, and false judgment. These issues are also discussed in other Platonic dialogues. The Theaetetus poses a special difficulty for Plato scholars trying to interpret the dialogue: in light of Platos metaphysical and epistemological commitments, expounded in earlier dialogues such as the Republic , the Forms are the only suitable objects of knowledge, and yet the Theaetetus fails explicitly to acknowledge them. Might this failure mean that Plato has lost faith in the Forms, as the
Protagoras [Internet Encyclopedia Of Philosophy] His audience consisted mainly of wealthy men, from athens social and commercialelites. Plato VII theaetetus, Sophist. Trans. HN Fowler. http://www.iep.utm.edu/p/protagor.htm
Extractions: Protagoras (c. 490 - c. 420 BCE) Protagoras of Abdera was one of several fifth century Greek thinkers (including also Gorgias, Hippias, and Prodicus) collectively known as the Older Sophists, a group of traveling teachers or intellectuals who were experts in rhetoric (the science of oratory) and related subjects. Protagoras is known primarily for three claims (1) that man is the measure of all things (which is often interpreted as a sort of radical relativism) (2) that he could make the "worse (or weaker) argument appear the better (or stronger)" and (3) that one could not tell if the gods existed or not. While some ancient sources claim that these positions led to his having been tried for impiety in Athens and his books burned, these stories may well have been later legends. Protagoras' notion that judgments and knowledge are in some way relative to the person judging or knowing has been very influential, and is still widely discussed in contemporary philosophy.
Island Of Freedom - Plato Plato was born to an aristocratic family in athens. The theaetetus is Plato smost successful work in analytical philosophy, in which perception, http://www.island-of-freedom.com/PLATO.HTM
Extractions: 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.
Extractions: Socrates Little is known about the third-century historian of philosophy, Diogenes Laertius. Even his real name is in question, as some scholars have suggested Laertius is a pen-name chosen to distinguish himself from the numerous other persons named Diogenes at the time. The best guess is that Diogenes Laertius wrote his collection of sketches of famous philosophers in the first half of the third century, based on the fact that the latest philosophers mentioned in his book date to the early third century, and important later philosophers are strikingly omitted from the work. The biographical sketches of Diogenes Laertius cannot be assumed to be entirely accurate. Although described by one scholar as "basically honest," Laertius' use of sources is entirely uncritical. Nonetheless, Laertius stands as one of the most important sources of information about Socrates because most of the earlier primary and secondary sources cited in his sketch have been lost. Laertius has become, according to Herbert S. Long, "the chief continuous source for the history of Greek philosophy."
Theaetetus - Theaetetus P b ERSONS OF THE DIALOGUE /b Socrates, Theodorus, theaetetus. I mettheaetetushe was being carried up to athens from the army at Corinth. TERPSION 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?
Theaetetus - Introduction And Analysis The theaetetus, like the Parmenides, has points of similarity both with his 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 From Sounion, athens. Son of Euphronios. Occupation. Dates c. 417369 BC.Brief biography Studied with Theodoros of Cyrene and at the Academy with http://www.swan.ac.uk/classics/staff/ter/grst/People/Theaetetus.htm
Extractions: 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 Last modified: 11 March 2003
Biography Of Plato Plato was born in athens, Greece to one of the oldest and most distinguishedfamilies in The best of the later dialogues are Parmenides and theaetetus. http://www.andrews.edu/~calkins/math/biograph/bioplato.htm
Extractions: Back to the Table of Contents Biographies of Mathematicians-Plato "I am the wisest man in Athens because I know I don't know. I am only singularly ignorant. The rest of the citizens are twice ignorant. They think they know, but they still don't know. (Plato in his dialogue "The Republic") Background Plato was born in Athens, Greece in 427 BC. Plato was born in Athens, Greece to one of the oldest and most distinguished families in the city. He lived with his mother, Perictione, and his father, Ariston (Until Ariston died.) As a young man, Plato grew up wanting to be a politician. However, after witnessing his mentor's killing and discovering the true heartlessness of politics, his interests changed and he was no longer wanted a place in government. Then, in 387 B.C. Plato returned to Athens after travelling for a few years. He set up the Academy, which many scholars consider to be the first University. Subjects taught in the University included astronomy, biological sciences, mathematics, and political science. According to legend, his University stood in a place that was once owned by the Greek hero, Academus. That's where we began to use the term academy when referring to schools. He stayed there and headed the school for the remainder of his life. Influences Socrates(470-399 BC) was a Greek philosopher who greatly impacted Plato through his teachings.
