81. Archytas A1, A2, A7, A16). Aristotle and his pupil eudemus do not explicitly call Archytas a Pythagorean and Opposites, reflects the work of Andronicus of rhodes, who first separated the http://plato.stanford.edu/entries/archytas

version history HOW TO CITE THIS ENTRY Stanford Encyclopedia of Philosophy A B C D ... Z This document uses XHTML-1/Unicode to format the display. Older browsers and/or operating systems may not display the formatting correctly. last substantive content change JUN Archytas Archytas of Tarentum was a Greek mathematician, political leader and philosopher, active in the first half of the fourth century BC (i.e., during Plato's lifetime). He was the last prominent figure in the early Pythagorean tradition and the dominant political figure in Tarentum, being elected general seven consecutive times. He sent a ship to rescue Plato from the clutches of the tyrant of Syracuse, Dionysius II, in 361, but his personal and philosophical connections to Plato are complex, and there are many signs of disagreement between the two philosophers. A great number of works were forged in Archytas' name starting in the first century BC, and only four fragments of his genuine work survive, although these are supplemented by a number of important testimonia. Archytas was the first to solve one of the most celebrated mathematical problems in antiquity, the duplication of the cube. We also have his proof showing that ratios of the form ( n n , which are important in music theory, cannot be divided by a mean proportional. He was the most sophisticated of the Pythagorean harmonic theorists and provided mathematical accounts of musical scales used by the practicing musicians of his day. He was the first to identify the group of four canonical sciences (logistic [arithmetic], geometry, astronomy and music), which would become known as the

82. Eudemus Name eudemus. Occupation From rhodes. Son of only known relatives area brother Boethus and his son (ie Eudemos s nephew) Pasikles. Occupation http://www.swan.ac.uk/classics/staff/ter/grst/People/Eudemos.htm

Name : Eudemus Occupation: From : Rhodes. Son of: only known relatives are a brother Boethus and his son (i.e. Eudemos's nephew) Pasikles Occupation: Dates : c. 350-300 BC Brief biography : Became student of Aristotle when latter at Assos, or Mytilene, or Athens. Very close to Aristotle, who named the Eudemian Ethics after him. He and Theophrastos were known as Aristotle's companions, and he was T's only rival for the scholarchate on Aristotle's departure. When Theophrastos was chosen, Eudemos left Athens and set up his own school, perhaps at Rhodes. Edited Aristotle's writings. Wrote on physics and logic. Father of the history of science: wrote a history of arithmetic, a history of geometry, and a history of astronomy. The last two are cited extensively by later authors, the first only once. Context Works References : I Bulmer-Thomas DSB T E Rihll Last modified: 11 March 2003

83. Vartiklis: Greek Philosophy. Plato And Aristotle jo darbus, ypac istorijos srityje Theophrastus paraše filosofijos istorijabei veikalus apie botanika ir mineralogija; eudemus iš rhodes raše apie http://www.spauda.lt/plato/plato.htm

Senovës Graikijos filosofijos srovës Platonas ir Aristotelis Platonas Jis buvo garsiausias Sokrato mokinys, kilæs ið kilmingos Atënø ðeimos, savo kiltá atsekanèios iki paskutiniojo Atënø karaliaus ir Solono, didþiojo socialinio gyvenimo ir politikos pertvarkytojo. Dar jaunystëje Platonas tapo karðtu Sokrato gerbëju nepaisydamas ðio plebëjiðkos kilmës Bet skirtingai nuo mokytojo, vertinusio asmenybiø svarbà, tikëjo politiniø institucijø svarba. Dar jaunystëje jis pastebëjo, kad atënieèiai, pasiduodami ambicingø politikø kalboms, ásivëlë á avantiûras ir galutinai pralaimëjo Peloponeso kare. Pavojaus akivaizdoje buvo atsisakyta demokratijos ir tada Platonas patikëjo 30 tironija – ypaè, kai jø lyderis Kritijas buvo artimas giminaitis. Taèiau greit patyrë, kad demokratija buvo auksas lyginant su kilusiu teroru. 399 m.pr.m.e. nuvertus oligarchijà ir atstaèius demokratijà, buvo priimtas naujas ástatymas, ið esmës raðytinë konstitucija, siekiant apsisaugoti nuo neapgalvotø politiniø sprendimø – tai Platonas priëmë su viltimi ir net Sokrato mirties bausmæ laikë kvailu atsitiktinumu, o ne naujo reþimo pasekme. Tik po keliø metø vël ásigalëjus demagogijai, jis nusivylæs politikais siûlë filosofams tapti valdovais (arba ðiems – filosofais).

84. Philosophy - Aristotle: Overview The followers of Aristotle, known as Peripatetics (Theophrastus of Lesbos, Eudemusof rhodes, Strato of Lampsacus, etc.), to a great extent abandoned http://www.archaeonia.com/philosophy/aristotle/main.htm

ARISTOTLE T he most important among Plato's disciples is Aristotle of Stagyra (384-322 B.C.), who shares with his master the title of the greatest philosopher of antiquity . But whereas Plato had sought to elucidate and explain things from the supra-sensual standpoint of the forms, his pupil preferred to start from the facts given us by experience . Philosophy to him meant science , and its aim was the recognition of the purpose in all things. Hence he establishes the ultimate grounds of things inductively that is to say, by a posteriori conclusions from a number of facts to a universal. In the series of works collected under the name of Organon , Aristotle sets forth, almost in a final form, the laws by which the human understanding effects conclusions from the particular to the knowledge of the universal. Like Plato, he recognizes the true being of things in their concepts , but denies any separate existence of the concept apart from the particular objects of sense. They are inseparable as matter and form. In matter and form, Aristotle sees the fundamental principles of being. Matter is the basis of all that exists; it comprises the potentiality of everything, but of itself is not actually anything. A determinate thing only comes into being when the

85. Zeller, Eduard Under his direction Theophrastus wrote the history of natural philosophy, Eudemusof rhodes that of mathematics and astronomy and Meno that of medicine. 185. http://phoenixandturtle.net/excerptmill/Zeller.htm

Zeller, Eduard. Outlines of the History of Greek Philosophy. New York: Meridian Books, 1958. IV. ARISTOTLE AND THE PERIPATETIC SCHOOL Aristotle’s life Aristotle of Stageira (384-322) was the son of Nicomachus the physician-in-waiting of the Macedonian king Amyntas. The philosophic development and the works of Aristotle The pedagogical works, which originally formed merely the basis of Aristotle’s lectures in the Lyceum and were in various states of completion, where first made known to the public in the edition of Andronicus of Rhodes (c. 60-50 B.C.). from this edition the whole of later antiquity drew its material (1) the Platonic period, when he attended the Academy, (2) the Transition period, when he was engaged in independent teaching in Assus, Mitylene and later at the Macedonian court, (3) the time of his second stay in Athens as the head of the Lyceum. The Period of the Academy, 367-347 Eudemus, or On the Soul corresponds to Plato’s Phaedo Aristotle shows himself in his metaphysics still completely dominated by the influence of Plato. He shares the doctrine of recollection and the perception of the ideas in pre-existence.

86. Re: [HM] The Shaping Of Deduction In Greek Mathematics By Antreas P. Hatzipolaki Hippocrates of Chios and the Earliest Form of a Greek Mathematical Text , in Eudemusof rhodes, (Rutgers University studies in classical humanities) ed. WW http://mathforum.org/epigone/math-history-list/fundixvee/v01540B00630B633DA45D@[

Re: [HM] The Shaping of Deduction in Greek Mathematics by Antreas P. Hatzipolakis reply to this message post a message on a new topic Back to messages on this topic Back to math-history-list Subject: Re: [HM] The Shaping of Deduction in Greek Mathematics Author: xpolakis@otenet.gr Date: http://www.sigu7.jussieu.fr/hpr/theuth-netz.html APH The Math Forum

87. Philological Quarterly : Books Received. @ HighBeam Research Pp. xlix + 283. $14.00 paper. Bodnar, Istvan, and William W. Fortenbaugh. Eudemusof rhodes. Rutgers University Studies in Classical Humanities, Vol. 11. http://static.highbeam.com/p/philologicalquarterly/september222001/booksreceived

eLibrary Web Tour Become a Member ... Customer Support Question / Keyword(s): Advanced Search Current Article: Books received. Start P Philological Quarterly September 22, 2001 ... Books received. Books received. Philological Quarterly; September 22, 2001; Philological Quarterly September 22, 2001 pp, new york, paper, cloth, penguin, press, intro, ed, notes, cambridge, trans, english literature, xi, pennsylvania press, xiii LANGUAGE Hansen, Hans Lauge, ed. Changing Philologies: Contributions to the Redefinition of Foreign Language Studies in the Age of Globalisation. Museum Tusculanum Press, U. of Cophenhagen, 2002. Pp. 160. $22.00 paper. CLASSICS INCLUDING LATER LATIN Aristotle. Historia Animalium. Vol. I, Books I-X. Ed. D. M. Balme. Cambridge U. Press, 2002. Pp. xxiv + 528. $125.00 cloth. Barnes, Jonathan, trans. and ed. Early Greek Philosophy. New York: Penguin, 2002. Pp. xlix + 283. $14.00 paper. Bodnar, Istvan, and William W. Fortenbaugh. Eudemus of Rhodes. Rutgers University Studies in Classical Humanities, Vol. 11.

88. Rogueclassicism (review in English). Istvan Bodnar, William W. Fortenbaugh (edd.), eudemus ofRhodes. 82930 PM Click here to send an email to the editor of this weblog. http://www.atrium-media.com/rogueclassicism/2003/11/05.html

rogueclassicism 1. n. an abnormal state or condition resulting from the forced migration from a lengthy Classical education into a profoundly unClassical world; 2. n. a blog about Ancient Greece and Rome compiled by one so afflicted (v. "rogueclassicist"); 3. n. a Classics blog. November 5, 2003 LAST POST From the Frank and Ernest site ... natch! 9:15:22 PM NUNTII : Origins So we come across this in a column on chicken pot pie (as Dr. Weevil says, "mmmmmmmmmm .... pie"): Archaeological evidence points to pie as a passion for thousands of years, beginning with the early Egyptians, who served foods under pastry crusts. Historians believe that the Greeks invented what we think of as pie — food entirely surrounded by crust, baked in it, and eaten along with that crust. The Romans, who conquered Greece, took the concept of pie with them back to Italy, where savory pies of all types became popular at every level of society. The richer you were, the more complex and expensive the filling. Poor people could stretch soaked grains or foraged nuts and herbs by baking them under a simple flour and water dough. The Roman statesman Cato the Elder is said to have created the first pie recipe: a mixture of goat cheese and honey in a rye crust. Fill in the blank: coquenda est!

89. Î÷·½ÎÄÃ÷µÄÔ´Í·¡ª¡ªÏ£À°ÎÄ»¯ The summary for this Chinese (Simplified) page contains characters that cannot be correctly displayed in this language/character set. http://www.ntsf.edu.cn/dy/qita/qita5.htm

90. ±±´ó¿ÆѧʷÓë¿ÆѧÕÜѧ-Ö÷ÌâÎÄÕ The summary for this Chinese (Simplified) page contains characters that cannot be correctly displayed in this language/character set. http://www.phil.pku.edu.cn/hps/viewarticle.php?sid=273&st=0

91. ·· ? The summary for this Chinese (Simplified) page contains characters that cannot be correctly displayed in this language/character set. http://www.xys.org/xys/magazine/GB/2001/articles/010213.txt

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