Thematic Index of Classics in JStor

Article Themes

This page lists the automatically detected themes present in this article. The words shown for each theme reflect the overall content of the theme, and may not appear in this particular article.

For each theme, you can also find other articles from the same year.

The work presented here was developed by David Mimno under the Cybereditions Project, an effort led by the Perseus Project at Tufts University and funded by the Mellon Foundation.

Ptolemy's Pythagoreans, Archytas, and Plato's Conception of Mathematics

Andrew Barker

Phronesis. (1994) pp. 113-135

Full text at JStor

[1216 words] numbers, mathematical, mathematics, ratio, equal, euclid, geometry, square, geometrical, circle, ratios, pythagorean, triangle, division, line, plato, pythagoreans, proportion, archimedes, heath, arithmetic, archytas, theon, method, proclus, nicomachus, abacus, ptolemy, units, triangles

[532 words] context, simply, position, hypothesis, argued, text, makes, claim, explain, suggestion, correct, grounds, reasons, alternative, actually, argue, moreover, attempt, surely, obvious, accept, argues, unlikely, enough, issue, sense, passage, presumably, difficulties, plausible

[199 words] petronius, trimalchio, satyricon, encolpius, aristoxenus, cena, eumolpus, juvenal, tone, musical, intervals, diatonic, octave, interval, pitch, enharmonic, modes, instrument, instruments, pipes, scales, chromatic, tetrachord, damon, music, pipe, tones, sullivan, string, aulos

[181 words] himself, true, truth, matter, criticism, merely, facts, really, real, passage, attempt, false, claim, accept, words, knowledge, belief, enough, regard, prove, makes, error, simply, wrong, statements, critics, surely, actually, serious, take

[176 words] source, text, sources, passage, information, works, passages, written, version, fragments, name, authors, quoted, tradition, literary, mention, fragment, extant, books, himself, wrote, early, writers, title, commentary, quotations, texts, derived, knowledge, collection

[118 words] xocl, linnaeus, xail, xcai, xoct, xaci, syst, theseus, systema, trittyen, xacl, xata, giraldi, xcti, barbari, danai, nymphae, xaxov, aristot, gessner, hederich, heller, muncker, amoen, naturae, ryss, xcal, clipeo, hagberg, hoefnagel

[99 words] analysis, sources, understanding, individual, information, context, questions, literary, texts, development, role, provide, structure, aspects, early, basic, complex, traditional, range, provides, data, function, significant, patterns, process, useful, pattern, attempt, limited, techniques

[87 words] plato, republic, dialogues, socrates, platonic, laws, phaedo, dialogue, timaeus, ideas, phaedrus, parmenides, sophist, aristotle, taylor, philosophy, philebus, philosophical, theaetetus, cratylus, platon, cornford, burnet, doctrine, gorgias, dialectic, critias, method, symposium, passage

[82 words] aristotle, things, forms, plato, thing, sense, knowledge, objects, perception, something, object, matter, substance, sensible, distinction, true, senses, kind, mind, passage, equal, particulars, socrates, individual, definition, exist, unity, parmenides, species, thinking

[73 words] role, context, image, contrast, sense, narrative, audience, reader, text, power, language, theme, images, function, traditional, reading, imagery, himself, becomes, makes, central, literary, complex, focus, meaning, perspective, status, level, process, emphasis

[57 words] period, early, development, influence, forms, developed, earliest, tradition, stage, beginning, became, become, changes, periods, characteristic, process, result, tendency, greater, true, sixth, introduced, throughout, marked, fourth, stages, longer, began, fifth_century, simple

[56 words] aristotle, porphyry, proclus, boethius, commentary, quarterly, printed, great_britain, alexander, ross, plotinus, aristotelian, theophrastus, simplicius, metaphysics, works, oracles, jaeger, de_anima, philosophy, aristoteles, speusippus, categories, ammonius, aristote, damascius, doctrine, treatise, lamblichus, neoplatonic

[55 words] sentences, cross-references, pairs, complication, sentence, complicated, whieh, clauses, pronouns, simple, conjunction, cross-reference, gapping, anaphoric, passages, sentential, extra, conjoined, reach, double, relative, rigvedic, diodoros, clause, degree, fewer, fourth, constituent, logophoric, value

[51 words] language, words, effect, literary, poet, expression, tone, contrast, speech, passages, reader, manner, poetry, himself, rhetorical, passage, dramatic, prose, poetic, uses, technique, lines, characteristic, theme, writing, treatment, makes, serious, kind, familiar

[45 words] true, passage, words, merely, matter, position, suppose, regard, name, enough, natural, mention, difficulty, period, prove, having, regarded, himself, except, facts, really, naturally, supposed, definite, makes, assumed, alone, correct, actually, referred

[43 words] hetairos, therapon, hetairoi, philet, brendan, therapontes, phrynichus, associate, hyperesia, amisiae, automedon, navigatio, prav, laevo, amne, cornelianus, selmer, subvexit, emden, contingent, myrmidon, philetaerus, brendani, transposuit, parvm, delphobus, ypay, epibatai, hyperesiai, feriunt

[34 words] philosophy, literary, works, influence, philosophical, writers, tradition, greeks, intellectual, knowledge, ideas, writings, education, philosophers, poets, political, early, plato, period, wrote, written, romans, authors, writing, historians, attitude, moral, philosopher, poetry, himself

[29 words] text, translation, edition, volume, introduction, books, pages, commentary, illustrations, translations, works, index, volumes, useful, page, maps, texts, english, chapter, editions, latin, reader, translated, contains, authors, chapters, excellent, review, scholarship, full

[24 words] passage, sense, text, meaning, sentence, words, word, reading, phrase, line, mean, translation, clause, context, lines, follows, editors, refer, difficulty, verb, makes, emendation, take, refers, preceding, expression, passages, correct, understood, translates

[21 words] mind, power, true, sense, moral, truth, knowledge, things, idea, ideal, experience, himself, divine, spirit, individual, ideas, natural, conception, expression, reality, real, feeling, vision, attitude, toward, every, intellectual, beauty, something, action

[21 words] comments, suggestions, helpful, anonymous, help, version, advice, draft, assistance, valuable, referee, express, gratitude, referees, encouragement, professors, provided, reading, criticism, seminar, criticisms, generous, humanities, drafts, grant, colleagues, acknowledge, classics, delivered, errors

[21 words] verg, prop, lygd, lucr, kwis, compounds, ciris, fast, trist, plaut, lucretius, words, spondaic, tragica, catull, ganz, zingerle, aetna, dant, pont, subst, elegy, catal, calefacio, navibus, twice, fris, imma, hapaxes, ibis

[19 words] schol, plut, frag, paus, arist, diod, athen, soph, alex, aesch, dion, strabo, pind, suidas, aristoph, fgrhist, hesych, plat, suda, quoted, pollux, apollod, suid, aristot, lycophron, phot, rhod, bibl, fgrh, serv

[18 words] word, meaning, sense, words, term, uses, phrase, passage, mean, context, passages, usage, applied, verb, expression, refer, language, refers, meanings, adjective, idea, meant, equivalent, elsewhere, describe, latin, technical, epithet, definition, simply

[17 words] aristotle, true, proposition, definition, propositions, universal, false, syllogism, something, logical, logic, hypothesis, thing, truth, syllogisms, things, premiss, premisses, sense, definitions, term, principle, genus, hypothetical, every, demonstration, knowledge, species, passage, sentence

[16 words] himself, friends, political, personal, public, friend, whom, friendship, attitude, position, reputation, conduct, having, towards, toward, enemies, praise, private, cause, return, influence, claim, speech, charges, power, true, actions, themselves, felt, career

[15 words] himself, young, ever, whom, every, your, days, things, mind, wrote, spirit, enough, something, true, famous, friend, words, youth, country, poet, knew, high, become, love, take, poor, name, story, master, living

[15 words] brun, bent, mein, herm, reis, bgk2, fich, herw, tryphon, dobr, wila, elms, dind2, r2iunt, burg, apprentice, iunt, salmo, voss, lent, pors, kust, salmon, trout, beer, coul, seal, valck, bach, koen

[15 words] your, something, take, things, thing, enough, done, really, anything, himself, look, mind, mean, away, going, want, keep, matter, sort, every, kind, doing, else, tell, suppose, having, ever, words, help, understand

[12 words] average, size, numbers, population, high, proportion, data, length, ratio, higher, units, frequency, rate, range, increase, groups, percentage, relative, estimate, amount, lower, statistics, value, significant, approximately, sample, distribution, mean, greater, unit

[12 words] king, ptolemy, kings, antiochos, royal, antiochus, egypt, ptolemaic, parthian, armenia, mithridates, arsinoe, ptolemies, alexandria, seleucid, kingdom, reign, hellenistic, antioch, throne, cleopatra, ptolemaios, parthians, philadelphus, euergetes, parthia, queen, polemo, title, tigranes

[9 words] motion, aristotle, movement, atoms, cause, body, void, epicurus, causes, bodies, moving, move, physics, things, motions, natural, infinite, rest, space, swerve, democritus, necessity, alexander, moved, object, matter, causal, movements, sense, moves

[8 words] atti, nella, florence, naples, nell, degli, sulla, italia, romano, alla, turin, archeologia, greca, istituto, napoli, onore, ricerche, pisa, bologna, antichita, italian, antico, classica, bari, mondo, sull, cultura, argues, secolo, greco

[8 words] speech, words, himself, speaker, audience, lines, situation, scene, action, address, makes, line, speak, asks, addressed, response, begins, take, effect, immediately, reply, comes, your, speaking, speaks, moment, advice, beginning, passage, questions

[7 words] army, city, military, took, troops, himself, control, power, events, position, situation, policy, force, sent, return, revolt, attack, victory, peace, forces, defeat, action, soon, attempt, success, battle, enemy, became, command, remained

[7 words] socrates, plato, protagoras, knowledge, dialogue, justice, meno, gorgias, socratic, virtue, true, apology, euthyphro, himself, republic, thrasymachus, wisdom, things, callicles, truth, dialogues, sophists, crito, definition, vlastos, claim, irony, laws, xenophon, hippias

[6 words] collection, information, athens, done, knowledge, received, collections, objects, carried, completed, valuable, investigation, progress, devoted, country, task, service, hope, greece, visit, sent, every, volume, gave, soon, museums, value, german, full, future

[6 words] block, blocks, upper, edge, bottom, face, holes, stone, length, lower, height, base, front, hole, wide, width, cutting, sides, diameter, feet, broken, vertical, corner, high, ends, edges, position, along, flat, slightly

[6 words] aristotle, pleasure, virtue, action, justice, desire, pleasures, moral, things, happiness, ethics, pain, soul, virtues, goods, actions, desires, person, agent, eudaimonia, activity, rational, sake, sense, natural, plato, something, claim, ethical, pleasant