21. Euclid's Geometry: Proclus 5. proclus 410485 AD. In proclus' opinion, mathematics was a means to anend an exercise to prepare young minds for the philosophical life. http://mathforum.org/geometry/wwweuclid/proclus.htm

5. Proclus: 410-485 A.D. Proclus was trained at Alexandria and then moved to Athens, where he devoted himself to Neo-Platonic philosophy, and became the head of that school: Though he esteemed mathematics highly, it was only as a handmaid to philosophy. He quotes Plato's opinion to the effect that "mathematics, as making use of hypotheses, falls short of the non-hypothetical and perfect science." And again, while "mathematical science must be considered desirable in itself, though not with reference to the needs of daily life, if it is necessary to refer the benefit arising from it to something else, we must connect that benefit with intellectual knowledge, to which it leads the way and is a propaedeutic, clearing the eye of the soul and taking away the impediments which the senses place in the way of the knowledge of universals." We know that in the Neo-Platonic school the younger pupils learnt mathematics; and it is clear that Proclus taught this subject, and that this was the origin of the commentary. Heath

22. Quotations By Proclus Collected quotations on science and mathematics. http://www-history.mcs.st-and.ac.uk/history/Quotations/Proclus.html

23. On Proclus By Antreas P. Hatzipolakis On proclus by Antreas P. Hatzipolakis. reply to this message t try.What I will do is to comment a reference to proclus. quote for http://mathforum.org/epigone/math-history-list/kilpextah/v01540B00B26B837FE125@[

On Proclus by Antreas P. Hatzipolakis reply to this message post a message on a new topic Back to math-history-list Subject: On Proclus Author: xpolakis@hol.gr Date: http://www.astro.virginia.edu/~eww6n/math/DidosProblem.html ) But, does Proclus actually say that the circle is the "poluxwro/tatos" of all (isoperimetric geometrical) figures? Does anyone know? PS: The ISOPERIMETRICAL PROBLEM was solved by Steiner. See: Alexander Bogomolny: Isoperimetric Theorem and Inequality. http://www.cut-the-knot.com/do_you_know/isoperimetric.html Antreas The Math Forum

24. Personal Info For Proclus Personal info for proclus. This person is currently certified at Journeyerlevel. Name proclus realm. Homepage http//proclus.tripod.com/. http://www.advogato.org/person/proclus/

Personal info for proclus This person is currently certified at Journeyer level. Name: proclus realm Homepage: http://proclus.tripod.com/ This person is: a Helper on project Darwin a Lead Developer on project GNU-Darwin Recent diary entries for proclus: 29 Nov 2000 Today was a big day. I posted my mozilla build instructions to my website, and they headlined at Darwinfo. I also founded the GNU-Darwin distribution. I am project administrator and the sole developer. Hopefully others will come on board soon! darwin mozilla GNU-Darwin Darwinfo Regards, proclus 27 Nov 2000 I've made some progress with Mozilla for Darwin, but no binary yet. Here are my notes on building Mozilla for Darwin Regards, 17 Nov 2000 (updated 17 Nov 2000) In the few tests that I have done, LinuxPPC outperformed Darwin for graphics calculations (like rasterization). Still, there is promise for Darwin, which has certain advantages such as, interoperablility with MacOSX and a realtime kernel Additionally, SMP may be better with Darwin, and I plan to test that soon. Meanwhile, I have been doing more ports. Here is a list of software that I have ported to Darwin.

25. 20th WCP: Mathematics As Paideia In Proclus Mathematics as Paideia in proclus. I hope to supplement this rather narrow perspectiveby discussing proclus's broader purpose in preparing such a commentary. http://www.bu.edu/wcp/Papers/Anci/AnciClea.htm

Ancient Philosophy Mathematics as Paideia in Proclus John J. Cleary cleary@bc.edu ABSTRACT: I examine one aspect of the central role which mathematics plays in Proclus's ontology and epistemology, with particular reference to his Elements of Theology . I focus on his peculiar views about the ontological status of mathematical objects and the special faculties of the soul that are involved in understanding them. If they are merely abstract objects that are "stripped away" from sensible things, then they are unlikely to reorient the mind towards the intelligible realm, as envisioned by Plato in the Republic . Thus, in order to defend the function of mathematics as a prodaideutic to dialectic, Proclus rejects Aristotelian abstractionism in favor of an elaborate account in terms of Nous projecting images of its Forms through the medium of the imagination. In metaphorical terms, he replaces the Aristotelian image of the soul as a blank tablet with that of a tablet that has always been inscribed and is always writing itself, while also being written on by Nous . The mediating function of mathematics for understanding the higher realities is grounded in the fact that its central principles of Limit and Unlimited have a universal provenance in Proclus's whole system of reality. Introduction Most people who have written about Proclus's commentary on the first book of Euclid's

26. Encyclopædia Britannica proclus Encyclopædia Britannica Article. proclus was reared at Xanthus in Lycia,and he studied philosophy under Olympiodorus the Elder at Alexandria. http://www.britannica.com/eb/article?eu=63031

27. The Historical Proclus I first became interested in the historical proclus after reading The Sirius Mystery,by RKG Temple. proclus (412485 AD), On the sacred art. The Real Me. http://members.tripod.com/~proclus/proclus.html

Get Five DVDs for $.49 each. Join now. Tell me when this page is updated The Historical Proclus Is Proclus the source of Jewish Mysticism and Cabala The Proclus Home Page at Leiden University The Chaldaean Oracles Proclus on the Timaeus (excerpt) The Life of Proclus The Armillary Sphere from Proclus ... Quotations by Proclus The Sirius Mystery Click here for a little surprise!. I first became interested in the historical Proclus after reading The Sirius Mystery, by R. K. G. Temple. Here are some links related to that book. The Sirius Mystery Morgana's Observatory The Mysteries of Sirius The Star Sirius ... The Mysteries of Sirius William of Moerbeke William of Moerbeke , a neglected figure, helped to lay the foundation for the Renaissance revival of Neoplatonism by translating the writings of Proclus into latin. Sir Gawain and the Green Knight This ancient tale can be viewed as a stellar initiation, not unlike the mormon temple endowment or the rituals of the Golden Dawn. I have an essay about this. Also, you can check out these links Pseudo-Dionysius and History of the Franks Ironically, the work of Proclus was carried by Pseudo-Dionysius into Christianity. He created a fascinating and influential Christian Neoplatonism, in contrast to prevailing thought in his day, ala Gregory of Tours in

28. Proclus' Poems proclus' poems. No Secrets The dewy grass is the flesh of a woman Wet primordialvirginal sensuous She rides me close Against black satin with stars. http://members.tripod.com/~proclus/poems.html

Get Five DVDs for $.49 each. Join now. Tell me when this page is updated proclus' poems No Secrets The dewy grass is the flesh of a woman Wet primordial virginal sensuous She rides me close Against black satin with stars For love of life the seed fly forth to certain death A gambit for glory, a chance for earth and dew and green Suspended in the void From this paroxysm of joy A sudden return reborn to walk on rock again In endless search of clever ways to push this dirt around And yet in the wet glimmer Of a tender green blade is a recollection of worlds And worlds beyond worlds Beyond words The Promise The spirit of Elijah is a relentless fire. It consumes my bundle of preconceptions. They blaze and sputter And are cast to the wind, As a truth more true Insinuates itself upon my being, Colors my every action. Its pulsing innuendoes rise up from my bowels. Blazing, they entrain my beating heart. This fountainous flame Quenches my prominent thirst, As the mordant bells Ring out with dread and promise, Tolling, no longer distant.

29. Proclus Translate this page proclus de Lycie grec, vers 410-485. Philosophe et historien néo-platonicien.Originaire de Xanthos en Lycie (au sud de l'Asie Mineure http://www.sciences-en-ligne.com/momo/chronomath/chrono1/Proclus.html

PROCLUS de Lycie grec, vers 410-485 Alexandrie . On lui doit de nombreux "Commentaires" sur les dialogues de Platon Euclide Son oeuvre, poursuivie par Eutocius d'Ascalon Eudoxe de Cnide exhaustion pour le calcul d'aires et de volumes. d'Aristote Eutocius : Hypatie Aryabhata

30. Proclus Translate this page proclus (412-486). proclus est le plus célèbre des philosophes de l'écolenéoplatonicienne. L'unité est, selon proclus, l'objet le plus simple. http://perso.wanadoo.fr/jm.nicolle/cusa/sources/proclus.htm

Proclus (412-486) Proclus est le plus célèbre des philosophes de l'école néoplatonicienne. Presque toutes ses oeuvres nous sont parvenues, dont le Commentaire sur le premier livre des Eléments d' Euclide , son chef d'oeuvre. Grâce à cet ouvrage qui commente notamment les définitions géométriques d'Euclide, on peut se faire une idée précise de la définition métaphysique que Proclus donne aux objets mathématiques. Proclus compare la pensée à un miroir-plan : "Il faut entendre le plan pour ainsi dire comme préétabli et placé devant les yeux, la pensée comme y décrivant toutes choses, et l'imagination assimilée en quelque sorte à un miroir plan sur lequel les concepts de la pensée renvoient leurs propres images." (PROCLUS, Commentaire sur le premier livres des Eléments d'Euclide , p. 109). On retrouve la même image chez N. de Cues : "l'âme regardant en elle-même, produit à la fois les concepts mathématiques et les sciences qui les étudient." ( De Mente , Herder, III, 554, et De Ludo Globi , Herder, III, 322).

31. Proclus proclus, 410 485. proclus, a Neoplatonist, was an influence on AmosBronson Alcott, Ralph Waldo Emerson, Margaret Fuller, as well http://www.alcott.net/alcott/home/champions/Proclus.html

Proclus, 410 - 485 Proclus, a Neoplatonist, was an influence on Amos Bronson Alcott Ralph Waldo Emerson Margaret Fuller , as well as other New England Transcendentalists. As the last major Greek philosopher, and elaborated upon by Damascius , Proclus codified later Platonism, offering not only a coherent metaphysical system but a complete pagan theology. By combining his own views with those of his teachers Plutarch , Syrianus, Porphyry , and Iamblichus

32. Proclus Translate this page Presentiamo una prima selezione di contributi. proclus (16.1N 46.8E)Autore / Note, Immagine. C. Ebdon (London, UK) (27 3 99) Newton 250, http://www.uai.it/sez_lun/proclus.htm

IMMAGINI RICEVUTE Presentiamo una prima selezione di contributi Proclus Autore / Note Immagine C. Ebdon (London, UK) Newton 250 Paola Battaglia Rifr 60 f11.7 Si notano distintamente 2 raggi dipartirsi da Proclus: uno in direzione N.O., l'altro in direzione S. Osservando con maggiore attenzione si notano 2 deboli raggi nel M.Crisium e uno in direzione N. F. Badalotti SC 250 f10 + telecamera Immagine negativa, per meglio evidenziare le raggiere Davide Zompatori New 200 f6 Davide Zompatori New 200 f6 Torna alla pagina principale del programma raggi

33. Proclus proclus was one of the last in line in the golden chain of Platonic succession. proclus, the successor of Syrianus, at the Athenian school, wrote a http://www.brown.edu/Students/OHJC/hm4/proclus.htm

Proclus was one of the last in line in the "golden chain of Platonic succession." "Proclus, the successor of Syrianus, at the Athenian school, wrote a commentary on Euclid's Elements. We possess only that on the first book, which is valuable for the information it contains on the history of geometry" (Cajori 61).

34. Proclus - Wikipedia proclus. From Wikipedia, the free encyclopedia. proclus Lycaeus surnamed The successor (oo? o d?ado?o?). Greek http://www.wikipedia.org/wiki/Proclus

Main Page Recent changes Edit this page Older versions Special pages Set my user preferences My watchlist Recently updated pages Upload image files Image list Registered users Site statistics Random article Orphaned articles Orphaned images Popular articles Most wanted articles Short articles Long articles Newly created articles All pages by title Blocked IP addresses Maintenance page External book sources Printable version Talk Log in Help Proclus From Wikipedia, the free encyclopedia. Proclus Neoplatonist Philosopher ( February 8 April 17 Born to a rich family in Constantinople , he studied rhetoric, philosophy and mathematics in Alexandria of Egypt. He came back to Constantinopole and was a successful lawyer for a short time. However as he preferred philosophy, he went to Athens in to study at the famous School of Philosophy which was founded 800 years before by Plato . He lived in Athens until the end of his life, except for a one year exile due to his political-philosophical activity which was not tolerated by the Christian regime. He became head master of Athens' School of Philosophy. His work can be divided in two parts. In the first part are his

35. Proclus Diadochus Early Geometry. proclus Diadochus, AD 410485. (From his book Commentaryon Euclid's Elements I). We must next speak of the origin http://galileoandeinstein.physics.virginia.edu/lectures/proclus.html

Early Geometry Proclus Diadochus, AD 410-485. (From his book: Commentary on Euclid's Elements I It was Thales, who, after a visit to Egypt, first brought this study to Greece. Not only did he make numerous discoveries himself, but laid the foundation for many other discoveries on the part of his successors, attacking some problems with greater generality and others more empirically. After him Mamercus the brother of the poet Stesichorus, is said to have embraced the study of geometry, and in fact Hippias of Elis writes that he achieved fame in that study. After these Pythagoras changed the study of geometry, giving it the form of a liberal discipline, seeking its first principles in ultimate ideas, and investigating its theorems abstractly and in a purely intellectual way. [He then mentions several who developed this abstract approach further: Anaxagoras, Hippocrates, Theodorus, etc.] Plato, who lived after Hippocrates and Theodorus, stimulated to a very high degree the study of mathematics and of geometry in particular because of his zealous interest in these subjects. For he filled his works with mathematical discussions, as is well known, and everywhere sought to awaken admiration for mathematics in students of philosophy. [He then lists several mathematicians, including Eudoxus and Theatetus, who discovered many new geometric theorems, and began to arrange them in logical sequences-this process culminated in the work of Euclid, called his

36. Proclus proclus 410?485, Neoplatonic philosopher, b. Constantinople. A synthesizer of Neoplatonicdoctrines, proclus gave the philosophy its most systematic form. http://www.slider.com/enc/43000/Proclus.htm

Home Encyclopeadia P Pou - Pre ... Rope Ladders Slider Search: The Web Encyclopaedia Shopping Index Help Encyclopaedia Proclus 410?-485, Neoplatonic philosopher, b. Constantinople. He studied at Alexandria and at Athens, where he was a pupil of the Platonist Syrianus, whom he succeeded as a teacher. As a partisan of paganism he was forced to leave Athens, but he returned at the end of a year. A synthesizer of Neoplatonic doctrines, Proclus gave the philosophy its most systematic form. He kept the elements of Plotinus, but introduced a principle of triadic development in the series of emanations; the three stages are an original, an emergence from the original, and a return in a lower form to the original. Proclus differed from Plotinus in regard to the origin of matter, which he held to emerge from the first emanation rather than from the plastic forces. Among his writings are commentaries on several Platonic dialogues and two treatises, On Plato's Theology and Institutes of Theology. See Neoplatonism See Fragments of the Lost Writings of Proclus (ed. by Robert Navon, tr. by Thomas Taylor, 1987).

37. Proclus Diadochus 1560 proclus Diadochus 1560, First edition in Latin and a very fresh copy ofthis handsome book; this is one of proclus' most important writings. http://www.mysunrise.ch/users/geissbuehler/pic_of_the_month_042002_02.htm

Geometricum Books and Instruments from 15th to 18th Century HOME BOOKS INSTRUMENTS PIC of MONTH ... SEARCH Proclus Diadochus 1560 Proclus Diadochus In Primum Euclidis Elementorum librum Commentariorum ad Universam Mathematicam Disciplinam Principium Eruditionis Tradentium Libri IIII. Folio, Holzschnittportrait auf der Rückseite des Titels mit vielen Holzschnittdiagrammen. Die Extrakte von Euclid sind mit gestochenen Rahmen eingefasst. Neuer Pergamenteinband. Padua, Gratiosus Perchacinus, 1560 First edition in Latin and a very fresh copy of this handsome book; this is one of Proclus' most important writings. "A Venetian patrician, Barocius [Barozzi] received a humanistic education and achieved an admirable command of Greek and Latin. He studied at the University of Padua and according to his own account, lectured there about 1559 on the Sphere of Sacrobosco. Barocius' edition of Proclus' commentary on the first book of Euclid 's Elements was the first important translation of this work, for it was based on better manuscripts than previous efforts had been. The translation, published at Venice in 1560, was completed by Barocius at the age of twenty-two."D.S.B., I, p. 468.

38. Proclus Name proclus. Occupation Philosopher. From Byzantium = Constantinople.Son of Patricius and Marcella, citizens of Lycia. Occupation http://www.swan.ac.uk/classics/staff/ter/grst/People/Proclus.htm

Name Proclus Occupation: Philosopher From : Byzantium = Constantinople Son of: Patricius and Marcella, citizens of Lycia Occupation: Advocate in courts of Byzantium Dates c. AD 410-485 Brief biography Educated at Xanthus and Alexandria, learnt Latin intending to become lawyer like father. Back in Byz. turned to philosophy; went back to Alexandria and studied Aristotle with Olympiodoros the elder and maths with a Heron. Before 20 years old, went to Athens, to study at the Academy under Plutarch of Athens. Member of academy from then till death; as student, then teacher, then scholarch. Last great Neoplatonist. Most writings lost. Contemporaries Works Comm on 1 st book of Euclid’s Elements survives. Also Hypotyposis (outline) of the hypotheses of the Astronomers ; and other writings on astronomy. Attributed are Sphaera ; paraphrase of Ptolemy's Tetrabiblos Eclipses Elements of Physics (summary of Aristotle Phy. 6 and 7 + bk 1 of De caelo). Elements of Theology, Platonic Theology; and commentaries on Platonic dialogues. Also lots of literature, e.g. 7 surviving hymns to the gods. References G Morrow DSB T E Rihll Last modified: 11 March 2003

39. Siorvanes/PROCLUS proclus NeoPlatonic Philosophy and Science Lucas Siorvanes Siorvanes's extensiveoriginal research presents proclus as much more than just a metaphysician. http://www.yale.edu/yup/books/068069.htm

PROCLUS Neo-Platonic Philosophy and Science Lucas Siorvanes 1997 Philosophy 356 pp. 6 1/8 x 9 1/4 Cloth ISBN 0-300-06806-9 Proclus, head of the Philosophy School at Athens for fifty years, was one of the leading philosophical figures in Late Antiquity. Lucas Siorvanes here introduces Proclus to English-language readers, discussing his metaphysics and theory of knowledge and focusing in particular on his Neo-Platonism. Proclus lived in the turbulent fifth century A.D., a time of struggles among Christians, Jews, and pagans, the invasion of Attila the Hun, the fall of the Western Roman Empire, and the rise of the Eastern Roman Empire in Byzantium. While Late Antiquity has been regarded as a time of superstition and forbiddingly complex philosophies, recent scholarship has shown it to be full of cultural and intellectual vigor. During Proclus's tenure as head of the Philosophy School, he systematized Neo-Platonism as the summit of ancient Greek thought, brought it to its peak of influence, and became responsible for the form in which it was transmitted to the Byzantine, Western European, and Islamic civilizations. Siorvanes's extensive original research presents Proclus as much more than just a metaphysician. He surveys all of Proclus's philosophical interestsincluding religion, physics, astronomy, mathematics, and poetryrevealing the philosopher's central concern with the problems of being and knowledge and relating the ideas of Proclus to those of such other major thinkers as Plato, Aristotle, and Ptolemy. To help the newcomer, Siorvanes supplies more than 200 quotations from Proclus's works. He also traces the impact of Proclus's Neo-Platonism across cultures, religions, and centuries, in such diverse areas as Christian and Islamic theologies, Renaissance art, Kepler's astronomy, Romantic poetry, Emerson's thought, modern philosophy and science, and current popular phrases.

40. Mot Clé: Proclus Translate this page page d'accueil sommaire, recherche. proclus Liste des unités de rechercheet des chercheurs ayant déclarés ce mot clé. unités de recherche, http://www.ulb.ac.be/rech/inventaire/motscles/9/MO7839.html

page d'accueil sommaire recherche Proclus Centre de philosophie ancienne chercheurs Maude VANHAELEN Mme Carine VAN LIEFFERINGE HISTOIRE DE LA PHILOSOPHIE ET DE LA MORALE HISTOIRE DES RELIGIONS ... LANGUE ET LITTERATURE GRECQUE ANCIENNES

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