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Early Greek philosophy

INDEXES

Reading edition

I. ENGLISH

Aahmes, 22, 46

Abaris, 87, 97 n. 205

Abdera, school of, 381

Abstinence, Orphic and Pythagorean, 102 sq., 104 sq.; Empedoklean, 289

Academy, 35

Achilles and the Tortoise, 367

Aether. See αἰθήρ

Aetios, App. § 10

Aigospotamos, meteoric stone of, 292, 312, 413 sq.

Air, 77, 78, 79 n. 154, 120, 173, 214, 224, 263, 309, 336, 341, 411 sq. See ἀήρ

Akousmata, 105 sq., 328

Akousmatics, 96, 103

Akragas, 228 sqq.

Akron, 231

Alexander Aetolus, 295

Alexander Aphrodisiensis, 139, 209

Alkidamas, 229 n. 504, 231 n. 512, 235, 297 n. 675, 321 n. 739, 360

Alkmaion, 123 n. 263, 223 sq., 236, 327, 344, 350

Amasis, 39

Ameinias, 193

Anaxagoras, 290 sqq.; and Perikles, 294 sqq.; and Euripides, 295; relation to Ionic school, 292; and Zeno, 362

Anaxagoreans, 35 n. 50, 415

Anaximander, 52 sqq.

Anaximenes, 75 sqq.; School of, 83, 292, 408 n. 997

Androkydes, 328

Andron of Ephesos, 93

Animals, Anaximander, 72 sqq.; Empedokles, 279 sqq.; Anaxagoras, 315 sqq.; Diogenes of Apollonia, 414

Antichthon, 344, 349 sqq.

428Antonius Diogenes, 92

Apollo Hyperboreios, 93 n. 189, 97 n. 205, 232

Apollodoros, App. § 21, 43, 52, 75, 94 n. 192, 125, 143, 192 sq., 228 sq., 290 sq., 358, 370

Apollonios of Tyana, 90, 92

Apophthegms, 51, 127

Archelaos, 415 sqq.

Archippos, 99, 319

Archytas, 110, 319, 328, 346

Aristarchos of Samos, 349

Aristeas of Prokonnesos, 87, 97 n. 205

Aristophanes, 75, 296 n. 669, 381, 408

Aristotle, App. § 2; on Egypt, 18, 23; on Thales, 47 sqq., 50; on Anaximander, 57 sqq.; on Pythagoras, 93 n. 189, 100, 107 n. 226; on Xenophanes, 137 sq., 139 sq.; on Herakleitos, 160 n. 373, 162, 177, 179; on Parmenides, 193, 203, 207, 208, 213; on Alkmaion, 223; on Empedokles, 177 n. 401, 228 n. 502, 231 n. 511, 234, 237, 253 n. 565, 265, 266, 267, 268, 269, 271, 272, 274 n. 606, 278, 280, 281, 397 n. 962; on Anaxagoras, 263 n. 582, 291, 303, 305, 306, 309, 310; on the Pythagoreans, 100 n. 208, 110, 111 n. 232, 119, 331 sqq., 353 sqq.; on Zeno, 361, 365 sqq.; on Melissos, 374 sq., 377, 378; on Leukippos, 380, 385 sq., 387, 397 n. 962; on Hippon, 49 n. 85, 406; on the galeus levis, 74 n. 141; on the theoretic life, 90, 108; on the mysteries, 91

[Aristotle] de Mundo, 185

[Aristotle] de Plantis, 279 n. 618, 298 n. 677, 315

Aristoxenos on Pythagoras, 92, 94 n. 191, 95, 96 n. 201, 3, 98 sq., 102, 109 n. 231; on the Pythagoreans, 107, 319, 334, 353; 429Πυθαγορικαὶ ἀποφάσεις, 100 n. 209, 325; on Hippon, 406 n. 988; on Plato, 323 sqq.

Arithmetic, Egyptian, 22, 111 n. 233; Pythagorean, 109 sq.

Arithmetical symbolism, 111

Astronomy, Babylonian and Greek, 25 sqq. See Heavenly bodies, Sun, Moon, Planets, Stars, Earth, Eclipses, Geocentric and Heliocentric hypothesis

Atheism, 51, 75, 141

Athens, Parmenides and Zeno at, 192; Anaxagoras at, 294

Atomism. See Leukippos

Atoms, 387 sqq.

Babylonian language, 21 n. 29; astronomy, 25 sqq.; eclipse cycle, 41; μαθηματικοί, 350 n. 834

Beans, 102

Biology. See Animals, Plants

Blood, Empedokles, 286, 288; Diogenes of Apollonia, 414

Brain, Alkmaion, 224; Empedokles, 235; Sicilian school of medicine, 288 n. 645

Breath. See Respiration. Breath of the World, 79, 120

Cave, Orphic, 257 n. 571

Chaos, 8, 9 n. 7

Chronos, 10

Cicero, App. § 12; on Thales, 50; on Anaximander, 64; on Anaximenes, 82; on Parmenides, 220, 221 n. 482; on Atomism, 393 n. 953, 394 n. 956

Clement of Alexandria, 19

Comic poets on Pythagoreans, 103 n. 218

Condensation. See Rarefaction

Conflagration. See ἐκπύρωσις

Continuity, 369

Copernicus, 349

Corporealism, 15 sq., 206, 227, 357, 377

Cosmogonies, 8 sqq.

Croesus, 28, 37, 38

Çulvasūtras, 24

Damasias, 43 n. 68

Damaskios, 9 n. 10, 232

Darkness, 79, 121, 173, 214

Death, Herakleitos, 171 sqq.; Parmenides, 222; Alkmaion, 225; Empedokles, 283

Dekad, 113

Demetrios Phalereus, 290, 408

Demokritos, 2 n. 1; date, 381; on Egyptian mathematics, 24; 430on Anaxagoras, 291, 381; primitive astronomy of, 345, 392; and Leukippos, 381

Diagonal and Square, 116

Dialectic, 361

Dikaiarchos on Pythagoras, 92, 96 n. 202, 100

Diogenes of Apollonia, 381, 407 sqq.

Divisibility, 304, 306, 362, 365, 376

Dodecahedron, 341 sqq.

Doric dialect, 325, 327 sq.

Earth, a sphere, 26; Thales, 47 sqq.; Anaximander, 70, 72; Anaximenes, 80, 81, 83 n. 167; Xenophanes, 136; Anaxagoras, 313; Pythagoreans, 344 sqq.; Leukippos, 401; Diogenes of Apollonia, 413

Echekrates, 343

Eclipses, Thales, 40 sqq.; Anaximander, 67; Anaximenes, 82; Herakleitos, 164; Alkmaion, 224; Empedokles, 276; Anaxagoras, 299; Pythagoreans, 349 sq.; Leukippos, 401

Ecliptic. See Obliquity

Effluences. See ἀπορροαί

Egypt, 39; Thales in Egypt, 43; Pythagoras and Egypt, 94 sq.

Egyptian arithmetic, 22 sq.; geometry, 23 sq., 44 sq.

Ekphantos, 338 n. 794, 387 n. 939

Elea, era of, 125 n. 270, 127, 192

Eleatics (see Parmenides, Zeno, Melissos), 35 n. 49; Leukippos and, 382 sqq.

Elements (see στοιχεῖα, Roots, Seeds, ἰδέα, εἶδος, μορφή), 56 n. 103, 57, 59, 235, 263 sqq., 265 n. 586, 339 sqq.

Eleusinia, 86

Embryology, Parmenides, 203 n. 448; Empedokles, 282

Empedokles, 227 sqq.; relation to Leukippos, 236, 383, 392; on Xenophanes, 138, 246 n. 555; on Pythagoras, 232, 259 n. 577; on Parmenides, 239, 261

Ephesos, 143 sqq.

Epicurus and Leukippos, 380 sq., 388 n. 940, 391 n. 949, 394 sq.

Epimenides, 9, 87

Equinoxes, precession of, 25, 347 n. 824

Eratosthenes, App. § 21, 228 n. 502

Eros, 9, 219

Euclid, 116, 117

Eudemos on Thales, 44 sq.; on Pythagoras, 115 n. 241, 116 n. 243; 431on Parmenides, 203 n. 449; on Zeno, 363, 366 n. 889; on the term στοιχεῖον, 263 n. 580

Eudoxos, 118, 216, 342

Eukleides of Megara, 355

Euripides (fr. inc. 910), 12 n. 14, 14 n. 18; and Anaxagoras, 295 sq.

Eurytos, 110 sq., 320, 322

Eusebios, 19

Euthymenes, 44

Even and Odd, 333 sqq.

Evolution, Anaximander, 73 sq.; Empedokles, 281; Anaxagoras, 315

Examyes, 40

Experiment, 31 sq., 274

Figures, numerical, 110 sq., 337

Fire, 121, 160 sq., 215

Fire, central, 218, 344 sqq.

Forgeries, 46, 113 n. 235, 185

Fossils, 136

Galen, 234

Galeus levis, 74 n. 141

Geocentric hypothesis, 31, 123, 218

Geometry, Egyptian, 23 sq.; of Thales, 45 sq.; of Pythagoras, 115 sq.

Glaukos of Rhegion, 228 n. 503

Gnomon (the instrument), 31 n. 4, 53

Gnomon (in geometry and arithmetic), 114 n. 238

Gods, Thales, 50; Anaximander, 64, 74; Anaximenes, 82; Xenophanes, 140 sq.; Herakleitos, 188 sq.; Empedokles, 264, 272, 288 sq.; Diogenes of Apollonia, 410 n. 1005

Gorgias, 229 n. 504, 231, 234, 256 n. 569, 287 n. 642, 417

Great Year, 25, 175

Harmonics, 118

“Harmony of the Spheres,” 122, 351. See ἁρμονία and Soul

Harpedonapts, 24, 116

Hearing, Empedokles, 285; Anaxagoras, 317

Heart, 235, 288 n. 645

Heavenly bodies, Anaximander, 66 sqq.; Anaximenes, 80, 81; Pythagoras, 122 sq.; Xenophanes, 133 sqq.; Herakleitos, 165 sqq.; Parmenides, 215; Empedokles, 274 sq.; Anaxagoras, 312; Leukippos, 401; Diogenes of Apollonia, 413

Hekataios, 20, 44, 46, 53

Heliocentric hypothesis, 27, 347 n. 825, 348 sq.

432Herakleides of Pontos, on Pythagoras, 104, 105, 108, 321 n. 739, 387 n. 939; on Empedokles, 228 n. 502, 3, 233 n. 520, 236 n. 532; heliocentric hypothesis of, 349

Herakleiteans, 35 n. 48, 140, 417

Herakleitos, 143 sqq.; on Homer, 182, 185; on Pythagoras, 94, 107, 143; on Xenophanes, 143

Hermodoros, 143

Herodotos, on Homer and Hesiod, 8; on Egyptian influence, 17; on geometry, 23; on Orphicism, 95 n. 195; on Solon, 28; on Lydian influence, 38; on Thales, 38, 39, 40, 43 sq., 46; on Pythagoras, 93, 94 n. 191, 95 n. 195, 2, 107

Hesiod, 6 sqq.

Hieron, 125

Hippasos, 103 n. 217, 117, 121, 156, 215, 341, 343, 354

Hippokrates, 235 n. 528, 405 n. 987, 411 n. 1008; Περὶ ἀέρων ὑδάτων τόπων, 79 n. 154

[Hippokrates] Περὶ διαίτης, 167 n. 383, 183 n. 413, 305 n. 695, 307 n. 699, 405 n. 986

Hippokrates, lunules of, 343

Hippolytos, App. § 13, 156

Hippon of Samos, 49, 58 n. 109, 406 sqq.

Hippys of Rhegion, 121 n. 260

Homer, 5 sqq.

Hylozoism, 15

Hypotenuse, 116

Iamblichos, V. Pyth., 92 n. 186

Ibykos, 220 n. 482

Idaios of Himera, 58 n. 109, 407

Ideas, theory of, 354 sqq.

Immortality, 91, 172 sq., 225

Incommensurability, 116 sq.

Indian philosophy, 21. See Transmigration

Infinity, Anaximander, 59 sqq.; Xenophanes, 137 sq.; Parmenides, 207; Melissos, 375. See Divisibility, ἄπειρον

Injustice, 56, 71, 160, 226

Ionic dialect, 327 sq., 408

Justice, 32, 161 n. 374

Kebes and Simmias, 320, 343, 354, 355

Kebes, Πίναξ, 194

Kratinos, 406

Kratylos, 417

Kritias, 288 n. 645

433Kroton, 95 n. 198, 222

Kylon, 97 n. 204, 98

Lampsakos, 297, 415

Leukippos, 380 sqq.; and the Eleatics, 382, 384 sqq.; and Empedokles, 236, 383, 392; and Anaxagoras, 383 sq., 392; and the Pythagoreans, 387, 389, 392; and Demokritos, 381, 389 sqq., 401 n. 979

Light, Empedokles, 276. See Moon

Lightning and Thunder, 68, 70, 401 n. 979

Limit, 121, 215, 333 sqq.

Lives, the three, 108, 109 n. 229, 154 n. 362

Love. See Eros, Love and Strife, 266 sqq.

Lucretius, on Empedokles, 237; on Anaxagoras, 306 n. 696

Lydia, 37 sqq.

Lysis, 99, 319, 326

Man, Anaximander, 73; Herakleitos, 168 sqq.

Maoris, 9

Map, Anaximander’s, 53

Materialism, 208

Matter. See ὕλη

Measures, 167 sq., 181, 410, 413

Medicine, history of, 222, 225, 226, 234, 236, 265 sq., 288 n. 645, 322, 344, 405, 411, 414

Megarians, 355

Melissos, 369 sqq.

Melissos, Xenophanes and Gorgias, 138 sqq.

Menon, Ἰατρικά, 49 n. 85, 235 n. 527, 322 n. 742, 327 n. 763, 340 n. 799, 406 n. 988

Metapontion, 95 n. 199, 97 n. 205

Metempsychosis. See Transmigration

Meteorological interest, 49, 70

Miletos, 37 sqq., 76, 380, 382

Milky Way, 69, 220, 314

Milo, 99, 222

Mochos of Sidon, 19 n. 27

Monism, 206, 227

Monotheism, 141 sqq.

Moon, 68; light of, 202 n. 446, 275, 276, 299, 314

Motion, eternal, 15, 61; denied by Parmenides, 207; explained by Empedokles, 267; Anaxagoras, 309; criticised by Zeno, 366; denied by Melissos, 376; reaffirmed by Leukippos, 392 sq.

Mysteries, 90, 190

434Necessity. See Ἀνάγκη

Nikomachos, 92, 112 n. 234

Nile, 43 sq., 313

Noumenios, 19

Nous, 309 sq.

Numbers, Pythagorean, 331 sqq.; triangular, square, and oblong, 114

Obliquity of the ecliptic (zodiac), 52, 82, 401

Observation, 29 sq., 73 sq.

Octave, 118

Opposites, 56, 186 sq., 225, 235, 266, 305

Oriental influences, 17 sqq.

Orphicism, 5, 9 sqq., 87 sq., 95 n. 195, 109 n. 229, 194, 221, 232, 257 n. 571, 258 n. 573

Parmenides, 192 sqq.; on Herakleitos, 143, 198 n. 438, 204 sq., 210; and Pythagoreanism, 210 sqq.

Pausanias, 234 n. 523, 238

Pentagram, 343

Perception, Parmenides, 202 n. 447, 222; Alkmaion, 223 sq.; Empedokles, 284 sq.; Anaxagoras, 316 sq.; Leukippos, 401 sq.; Diogenes of Apollonia, 414

Perikles and Zeno, 193; and Anaxagoras, 294 sq.; and Melissos, 369

Petron, 65, 121

Pherekydes of Syros, 9, 87

Philistion, 234 n. 523, 235 n. 526 and 527, 266 n. 587, 288 n. 645, 356 n. 850

Philo of Byblos, 19 n. 27

Philo Judaeus, 18, 158, 185

Philodemos, 50 n. 89, 64, 221 n. 483

Philolaos, 319, 320 sqq.

Philosophy as κάθαρσις, 89; Pythagorean use of the word, 89 sqq., 194, 321 n. 739, 359; synonymous with asceticism, 18

Phleious, 89 n. 178, 94 n. 191, 109 n. 229, 320

Phoenician influence, 18, 19 n. 27, 39

Physiology, Parmenides, 221 sq.; Alkmaion, 223; Empedokles, 282; Diogenes of Apollonia, 411

Pindar, 232

Planets, names of, 26 n. 40, 220; distinguished from fixed stars, 26, 82, 276, 392, 401; motion of, 122 sq., 225, 350, 353; system of, 344 sq.

Plants, Empedokles, 277 sq.; Anaxagoras, 315 sq.

Plato, App. § 1; on Egyptians and Phoenicians, 17, 20, 27 n. 41; on Egyptian arithmetic, 22; 435on schools of philosophy, 35; on Pythagoras, 96 n. 202; on Xenophanes, 140; on Herakleitos, 140, 159, 162, 176, 178; on Herakleiteans, 161 n. 373, 188 n. 418; on Parmenides, 192, 207, 221; on Empedokles, 159, 178, 269 n. 593; on Anaxagoras, 291 n. 655, 295, 297 sq., 309; on Philolaos, 319; on Pythagoreans, 121, 124; on incommensurables, 117 n. 245; on Zeno, 192, 358, 360, 361; on Melissos, 379 n. 919; Phaedo, 89 n. 178, 91 n. 183, 108 n. 228, 109 n. 229, 172 n. 391,182 n. 411, 320 sq., 342, 343, 345, 354; Cratylus, 417 n. 1027; Theaetetus, 117 n. 245, 263 n. 580, 338 n. 794, 417 n. 1027; Sophist, 356 n. 849, 358 n. 853; Politicus, 280 n. 621; Parmenides, 358 n. 852, 359, 360 sq.; Philebus, 323; Symposium, 221, 281 n. 625; Phaedrus, 295; Gorgias, 321; Meno, 234 n. 524; Republic, 25 n. 39, 90 n. 181, 177 n. 400, 216, 219 sq., 352; Timaeus, 61 n. 115, 79 n. 154, 113 n. 237, 118 n. 248, 121, 122, 225, 287, 340, 342, 345 n. 818, 346, 352, 396; Laws, 107 n. 227, 117 n. 246, 353

Pleasure and pain, Empedokles, 285; Anaxagoras, 317

Pliny, 42, 52

Pluralism, 227 sqq., 357

Political activity of philosophers, Thales, 46; Pythagoras, 96 sq.; Parmenides, 195; Empedokles, 230 sq.; Zeno, 358

Polybios, 99 n. 206

Polybos, 379

Polykrates, era of, 53 n. 97, 94

Pores. See πόροι

Porphyry, 92 n. 187, 104 n. 219, 257 n. 571

Poseidonios, 19 n. 27, 81 n. 159

Precession. See Equinoxes

Proclus, commentary on Euclid, 44, 115 n. 243

Proportion, 117 sq.

Protagoras, 188, 360

Purification. See καθαρμός, κάθαρσις

Pyramids, measurement of, 45. See πυραμίς

Pythagoras, 91 sqq.; forged writings, 325

Pythagoreans, 212 sqq., 319 sqq.

Rarefaction and condensation, 77 sqq., 163, 204, 403, 412

436Religion, 85 sqq., 189, 294. See Orphicism, Monotheism, Gods, Sacrifice

Respiration, 235, 253 n. 565, 284

Rest. See Motion

Revolution, diurnal, 61, 274, 346 sq.

Rhegion, 99, 220 n. 482, 319

Rhetoric, 86, 234

Rhind papyrus, 22 sqq.

Roots, 263

Sacrifice, mystic, 104 n. 220; bloodless, 258 n. 576

Salmoxis, 93

Sanchuniathon, 19 n. 27

Sardeis, era of, 43 n. 67, 53, 75

Schools, 33 sqq., 293

Sea, Anaximander, 66, 70 sq.; Empedokles, 277; Anaxagoras, 313; Diogenes of Apollonia, 413

Seeds, 306

Seqt, 23, 46

Seven Wise Men, 39, 46, 51

Sight, Alkmaion, 224; Empedokles, 284, 287 sq.; Anaxagoras, 316

Silloi, 129

Sleep, Herakleitos, 169 sq.; Empedokles, 283

Smell, Empedokles, 285; Anaxagoras, 316

Sokrates, Parmenides and Zeno, 192 sq., 358; and Archelaos, 415

Solids, regular, 328 sq., 340

Solon. See Croesus

Soul, 86, 91, 168, 225, 343, 414

Space, 204, 207, 366, 389

Speusippos, 113 n. 236; on Parmenides, 195; on Pythagorean numbers, 321, 336 n. 790

Sphere, Parmenides, 207 sq.; Empedokles, 262. See Earth, Eudoxos, Harmony

Stars, fixed, 68, 80

Stoics, App. § 3, 157, 179 sq.

Strabo, 19 n. 27, 194, 195 n. 430

Strife, Herakleitos, 184; Empedokles, 266 sqq.

Sun, Anaximander, 68; Anaximenes, 80; Xenophanes, 134 sq.; Herakleitos, 165 sq., 174; Empedokles, 274 sq., 347 sq.; Anaxagoras, 314

Taras, 97 n. 204, 319

Taste, Empedokles, 285; Anaxagoras, 316

Tetraktys, 113 sqq.

Thales, 39 sqq.

Theaitetos, 117, 329

Theano, 353

437Thebes, Lysis at, 99, 320; Philolaos at, 99

Theodoros of Kyrene, 117

Theogony, Hesiodic, 6 sqq.; Rhapsodic, 9 n. 10, 232

Theologians, 10

Theology. See Gods

Theon of Smyrna, 27 n. 41

Theophrastos, App. § 7; on schools, 33, 35, 52; on Prometheus, 39 n. 55; on Thales, 48; Anaximander, 54 sqq., 66; on Anaximenes, 76 sqq.; on Xenophanes, 126, 136, 137; on Herakleitos, 145, 156, 163 sqq.; on Parmenides, 209, 213, 214, 218, 220; on Empedokles, 229 n. 504, 236, 267 sq., 272 sqq., 278, 284; on Anaxagoras, 291, 292, 293 n. 660, 313 sq., 316 sq.; on Leukippos, 380 sq., 382, 384 sqq., 390 sqq., 402; on Diogenes of Apollonia, 381, 407 sq., 412; on Hippon of Samos, 406

Theoretic life, 291

Theron of Akragas, 229, 232

Thourioi, era of, 228

Timaios Lokros, 323 sqq.

Timaios of Tauromenion, 228 n. 508, 230, 233, 237 n. 534

Timon of Phleious, 129, 324

Touch, Empedokles, 285; Anaxagoras, 316

Transmigration, 95, 101 sqq., 124, 289 sq.

Triangle, Pythagorean, 24, 115

Unit, 337, 365

Void, Pythagorean, 120, 214, 224, 336, 383; Parmenides, 204, 207; Alkmaion, 224; Atomist, 389 sq.

Vortex, Empedokles, 274; Anaxagoras, 311; Leukippos, 399 sqq.

Water, 48 sqq., 407

Weight, 394 sqq.

Wheels, Anaximander, 67 sq.; Pythagoras, 122; Parmenides, 215

Worlds, innumerable, Anaximander, 62 sqq.; Anaximenes, 82 sq.; Pythagoras, 121; Xenophanes, 136; Anaxagoras, 312; Diogenes of Apollonia, 414; Archelaos, 417

Xenophanes, 124 sqq.; on Thales, 41; on Pythagoras, 124

Year. See Great Year

Zamolxis, 93

Zankle, 127 n. 275

Zeno, 358 sqq.; on Empedokles, 359; on Pythagoreans, 362

438

II. GREEK

ἀδικία, 56, 60, 71

ἀήρ, 79 n. 154, 263, 264 n. 583, 284 n. 634. See Air

αἰθήρ, 263, 264 n. 583, 312 n. 709

ἀκούσματα, 105 sq., 328

ἀκουσματικοί, 96, 103

Ἀνάγκη, 219, 256 n. 569, 269

ἀναθυμίασις, 167 n. 382, 168 n. 385

ἀντέρεισις, 400

ἄντυξ, 216

ἄπειρον, 57 n. 105, 60 n. 113

ἄπνους, ἡ, 233 n. 520, 236 n. 533

ἀπορροαί, 236, 287 n. 642

ἀποτομή, 391 n. 949

ἀριθμητική dist. λογιστική, 23, 111 n. 233

ἁρμονία, 122, 158, 184

ἁρπεδονάπται, 24

ἀρχή, 13, 57

αὐτὸ ὃ ἔστιν, 355 n. 847

γαλεοί, 73 sq.

γόητες, 106

δαίμων, 155 n. 364, 172 n. 391

διαστήματα, 65 n. 126

δίκη, 32, 161 n. 374

δίνη. See Vortex

διορίζω, 120 n. 254

εἶδος, 355, 388 n. 943

εἴδωλα, 403

εἶναι, 198 n. 435; τὸ ἐόν, 204 n. 450

ἔκθλιψις, 397 n. 962

ἔκκρισις, 61

ἐκπύρωσις, 178 sqq.

ἕν, τὸ, 140, 363 n. 880, 377

ἐναντία. See Opposites

ἑνίζειν, 139 n. 306

ἐπίψαυσις, 400

ἐστώ, 330 n. 770

439θεός, 74. See Gods

θεωρία, 28, 108

ἰδέα, 235 n. 527, 263 n. 580, 355, 356 n. 850, 388 n. 943

ἶδος, 243 n. 549, 249 n. 558

ἰσονομία, 225

ἰσορροπία, 398

ἱστορία, 14 n. 18, 28, 107 n. 244

καθαρμός, κάθαρσις, 88, 107 sq.

κεγχρίτης λόγος, n. 862

κλεψύδρα, 253 n. 565, 254 n. 566, 263, 309, 384

κληροῦχος, 219

κόσμος, 32, 148 n. 336, 182 n. 412

κρατέω, 310

λογιστική dist. ἀριθμητική, 23

λόγος, 146 n. 332, 148 n. 339, 152 n. 355, 153 n. 358 and n. 359, 157; λόγος τοῦ εἶναι, 355 n. 847

μεσότης, 118

μετάρσια, 296 n. 670

μετεμψύχωσις, 101 n. 212

μετενσωμάτωσις, 101 n. 212

μετέωρα, 32

μορφή, 263 n. 580, 356 n. 850

ὄγκοι, 338 n. 794, 368 n. 894, 387 n. 939

ὁλκάς, 341 n. 805

ὁμοιομερῆ, 306

ὅμοιος, ὁμοιότης, 72 n. 138

ὄργια, 88 n. 175

ὅρος, 115 n. 240

οὐρανός, 31, 140 n. 310; Aristotle’s πρῶτος οὐρανός, 177

440πάγος, 273 n. 603

παλιγγενεσία, 101 n. 212

παλίντονος, 150 n. 184

παλίντροποςπαλίντροπος, 150 n. 347, 198 n. 438

πανσπερμία, 307, 389

περιαγωγή, 63 n. 119

περιέχω, 60 n. 114, 170 n. 389

περίστασις, 63 n. 119

πίλησις, 77 n. 151

πόροι, 224, 226 n. 500, 236, 269, 284 sq., 383

πρηστήρ, 69 n. 133, 165

πυραμίς, 25 n. 38

ῥαψῳδῶ, 127 n. 276

ῥοπή, 398

σῆμα σῶμα, 321

στασιῶται, 140 n. 307

στέφαναι, 215

στοιχεῖον, 54 n. 101, 56 n. 103, 263 n. 586, 265 n. 586, 306, 333, 388 n. 942

συνοικειῶ, 157 n. 370

τετρακτύς, 113 sq.

τροπαί, 67 n. 129, 174

ὕλη, 57, 330 n. 770, 342 n. 807

ὑπόθεσις, 33 n. 46, 360 n. 866, 361 n. 871

ὑποτείνουσα, 116 n. 242

φαινόμενα, σῴζειν τὰ, 33 n. 46

φιλοσοφία, φιλόσοφος, φιλοσοφῶ, 28. See Philosophy

φύσις, 12 sq., 56, 388 n. 941 and n. 944

χώρα, 114 n. 238, 115 n. 240

Printed by R. & R. Clark, Limited, Edinburgh.

Transcriber’s Note

When Burnet gives the fragments of a Greek philosopher, he does so selectively, resulting in gaps in the sequence. Internal references to those fragments in the text or footnotes have been linked for easy navigation. References to the fragments in the footnotes are sometimes technical discussions of the reading in Greek, and these are not linked. There are also references to fragments which are not among those the Burnet provides.

Some quoted and translated passages, printed as prose, also include line numbers in the right margin. These now appear on the right hand edge, at the place in the text where they originally appeared. The actual line count, depending on your reader, may vary with page width. Therefore, these numbers should be regarded as approximate.

In note 813, the Greek phrase includes an unmatched closing bracket. This is a direct quotation from p. 234 of Scholia in Lucianum, edited by Hugo Rabe. The bracket was used by Rabe to separate the topic (the pentagram) from its gloss.

Errors deemed most likely to be the printer’s have been corrected, and are noted here. The references are to the page and line in the original.

75.13 according to Theophra[s]tos Added.

197.21 Look stea[fd/df]astly with thy mind Transposed.

212.26 It seem[s] to me Added.

213.18 and Theoph[astros/rastos]certainly followed him Misplaced.

249.21 meadows of Aph[h]rodite Removed.

292.34 διήκουσε)[”] Added.

331.19 Aristotle on the Number[s]. Added.

332.32 τὰ γοῦν θεωρήματα πρ[ό/ο]σάπτουσι Replaced.

402 οἱ μὲν ἄλλοι φύσει τὰ αἰσθητ[α/ά] Replaced.

415.6 Anaxagorea[ns] Presumed.

433.5 παλίντροπ[ὸ/ο]ς Replaced.

Notes in this chapter

Note 1 · It will be observed that Demokritos falls outside the period thus limited. The common practice of treating this younger contemporary of SokrNote 4 · Hes. Theog. 27. They are the same Muses who inspired Homer, which means, in our language, that Hesiod wrote in hexameters and used the Epic Note 7 · The word χάος certainly means the “gape” or “yawn,” the Orphic χάσμα πελώριον. Grimm compared it with the Scandinavian Ginnunga-Gap.Note 10 · This was the view of Lobeck with regard to the so-called “Rhapsodic Theogony” described by Damaskios, and was revived by Otto Kern (De OrpheNote 14 · The Epic phrase ἀθάνατος καὶ ἀγήρως seems to have suggested this. Anaximander applied both epithets to the primary substance (R. P. 17 and 1Note 18 · We have the authority of Plato for giving them this name. Cf. Phd. 96 a 7, ταύτης τῆς σοφίας ἣν δὴ καλοῦσι περὶ φύσεως ἱστορίαν. So, in the Note 27 · We learn from Strabo (xvi. p. 757) that it was Poseidonios who introduced Mochos of Sidon into the history of philosophy. He attributes the Note 29 · Gomperz’s “native bride,” who discusses the wisdom of her people with her Greek lord (Greek Thinkers, vol. i. p. 95), does not convince me eNote 38 · The word πυραμίς is often supposed to be derived from the term piremus used in the Rhind papyrus, which does not mean pyramid, but “ridge.” Note 39 · Three different positions of the equinox are given in three different Babylonian tablets, namely, 10°, 8° 15′, and 8° 0′ 30″ of Aries. (KuglNote 40 · In classical Greek literature, no planets but Ἕσπερος and Ἑωσφόρος are mentioned by name at all. Parmenides (or Pythagoras) first identifiedNote 41 · The Platonic account of this matter is to be found in the Epinomis, 986 e 9 sqq., and is summed up by the words λάβωμεν δὲ ὡς ὅτιπερ ἂν ἝλληNote 46 · This phrase originated in the school of Plato. The method of research in use there was for the leader to “propound” (προτείνειν, προβάλλεσθαNote 48 · Tht. 179 e 4, αὐτοῖς ... τοῖς περὶ τὴν Ἔφεσον. The humorous denial that the Herakleiteans had any disciples (180 b 8, Ποίοις μαθηταῖς, ὦ δαιNote 49 · Soph. 242 d 4, τὸ ... παρ’ ἡμῖν Ἐλεατικὸν ἔθνος. Cf. ib. 216 a 3, ἑταῖρον δὲ τῶν ἀμφὶ Παρμενίδην καὶ Ζήνωνα [ἑταίρων] (where ἑταίρων is probNote 50 · Crat. 409 b 6, εἴπερ ἀληθῆ οἱ Ἀναξαγόρειοι λέγουσιν.Note 4 · Simplicius, indeed, quotes from Theophrastos the statement that Thales had many predecessors (Dox. p. 475, 11). This, however, need not trouNote 16 · For Apollodoros, see Appendix, § 20. The dates in our text of Diogenes (i. 37; R. P. 8) cannot be reconciled with one another. That given foNote 17 · Diog. i. 22 (R. P. 9). I do not discuss the Pythian era and the date of Damasias here, though it appears to me that the last word has not yeNote 34 · Compare Arist. de An. Α, 2. 405 b 2 (R. P. 220) with the passages referred to in the last note. The same suggestion is made in Zeller’s fiftNote 38 · Cicero, de Nat. D. 1. 25 (R. P. 13 b). On Cicero’s source, see Dox. pp. 125, 128. The Herculanean papyrus of Philodemos is, unfortunately, dNote 46 · The statement that he “died soon after” (Diog. ii. 2; R. P. 15) seems to mean that Apollodoros made him die in the year of Sardeis (546/5), Note 50 · For the expression τὰ καλούμενα στοιχεῖα, see Diels, Elementum, p. 25, n. 4. In view of this, we must keep the MS. reading εἶναι, instead ofNote 52 · The conception of elements is not older than Empedokles (§ 106), and the word στοιχεῖα, which is properly translated by elementa, was first Note 54 · If the words quoted from Theophrastos by Simplicius, Phys. p. 24, 15 (R. P. 16), stood by themselves, no one would ever have supposed them tNote 58 · Arist. de Caelo, Γ, 5. 303 b 12, ὕδατος μὲν λεπτότερον, ἀέρος πυκνότερον, ὃ περιέχειν φασὶ πάντας τοὺς οὐρανοὺς ἄπειρον ὄν. That this refersNote 62 · Phys. Γ, 8. 208 a 8 (R. P. 16 a). That this refers to Anaximander is shown by Aet. i. 3, 3 (R. P. 16 a). The same argument is given in Phys.Note 63 · I have assumed that the word ἄπειρον means spatially infinite (though not in any precise mathematical sense), not qualitatively indeterminatNote 64 · Plato, Tim. 52 e, where the elements are separated by being shaken, stirred, and carried in different directions: “just as by sieves and insNote 68 · Aet. ii. 1, 3 (Dox. p. 327). Zeller is wrong in understanding κατὰ πᾶσαν περιαγωγήν here of the revolution of a cycle. It means simply “in eNote 75 · It is simplest to suppose that Cicero found διαστήμασιν in his Epicurean source, and that is a technical term for the intermundia.Note 78 · Zeller’s difficulty about the meaning of τροπαί here (p. 223, n. 2) seems to be an imaginary one. The moon has certainly a movement in decliNote 82 · The true meaning of this doctrine was first explained by Diels (Dox. pp. 25 sqq.). The flames rush forth per magni circum spiracula mundi, aNote 87 · Arist. de Caelo, Β, 13. 295 b 10, εἰσὶ δέ τινες οἳ διὰ τὴν ὁμοιότητά φασιν αὐτὴν (τὴν γῆν) μένειν, ὥσπερ τῶν ἀρχαίων Ἀναξίμανδρος· μᾶλλον μὲNote 90 · On Aristotle and the galeus levis, see Johannes Müller, “Ueber den glatten Hai des Aristoteles” (K. Preuss. Akad., 1842), to which my attentNote 100 · “Felting” (πίλησις) is the regular term for this process with all the early cosmologists, from whom Plato has taken it (Tim. 58 b 4; 76 c 3)Note 103 · For the meaning of ἀήρ in Homer, see Schmidt, Synonomik, § 35; and for its survival in Ionic prose, Hippokrates, Περὶ ἀέρων, ὑδάτων, τόπων, Note 108 · The source of this is Poseidonios, who used Theophrastos. Dox. p. 231.Note 116 · Simpl. Phys. p. 1121, 12 (R. P. 28 a). The passage from the Placita is of higher authority than this from Simplicius. Note, further, that itNote 7 · This was the oldest name for these “mysteries,” and it simply means “sacraments” (cf. ἔοργα). Orgia are not necessarily “orgiastic.” That asNote 10 · The Phaedo is dedicated, as it were, to Echekrates and the Pythagorean society at Phleious, and it is evident that Plato in his youth was imNote 13 · Plato, Rep. 520 c 1, καταβατέον οὖν ἐν μέρει. The allegory of the Cave seems to be Orphic, and I believe Professor Stewart’s suggestion (MytNote 15 · Cf. Phd. 69 c 2, καὶ κινδυνεύουσι καὶ οἱ τὰς τελετὰς ἡμῖν οὗτοι καταστήσαντες οὐ φαῦλοί τινες εἶναι, ἀλλὰ τῷ ὄντι πάλαι αἰνίττεσθαι κ.τ.λ. TNote 16 · Arist. fr. 45, 1483 a 19, τοὺς τελουμένους οὐ μαθεῖν τι δεῖν, ἀλλὰ παθεῖν καὶ διατεθῆναι.Note 18 · Iamblichos was a disciple of Porphyry, and contemporary with Constantine. The Life of Pythagoras has been edited by Nauck (1884). NikomachosNote 19 · Porphyry’s Life of Pythagoras is the only considerable extract from his History of Philosophy, in four books, that has survived. The romanceNote 21 · Andron of Ephesos wrote a work on the Seven Wise Men, called The Tripod, in allusion to the well-known story. The feats ascribed to PythagorNote 23 · Cf. Herod. iv. 95, and Herakleitos, fr. 17 (R. P. 31 a). Herodotos represents him as living at Samos. On the other hand, Aristoxenos said thNote 24 · Eratosthenes identified Pythagoras with the Olympic victor of Ol. XLVIII. 1 (588/7 B.C.), but Apollodoros gave his floruit as 532/1, the eraNote 27 · Herod. ii. 81 (R. P. 52 a). The comma at Αἰγυπτίοισι is clearly right. Herodotos believed that the worship of Dionysos was introduced from ENote 28 · Herod. ii. 123 (R. P. ib.). The words “whose names I know, but do not write” cannot refer to Pythagoras; for it is only of contemporaries thNote 30 · From what Herodotos tells us of Demokedes (iii. 131) we can see that the medical school of Kroton was founded before the time of Pythagoras.Note 31 · It may be taken as certain that Pythagoras spent his last days at Metapontion; Aristoxenos said so (ap. Iambl. V. Pyth. 249), and Cicero (DeNote 33 · For the “mystic silence,” see Aristoxenos, ap. Diog. viii. 15 (R. P. 55 a). Tannery, “Sur le secret dans l’école de Pythagore” (Arch. i. pp.Note 34 · Plato, Rep. x. 600 a, implies that Pythagoras held no public office. The view that the Pythagorean sect was a political league, maintained iNote 36 · Kylon, the chief opponent of the Pythagoreans, is described by Aristoxenos (Iambl. V. Pyth. 248) as γένει καὶ δόξῃ καὶ πλούτῳ πρωτεύων τῶν πNote 37 · We have the authority of Aristotle, fr. 186, 1510 b 20, for the identification of Pythagoras with Apollo Hyperboreios. The names of Abaris aNote 38 · See Rohde, Rh. Mus. xxvi. p. 565, n. 1. The narrative in the text (Iambl. V. Pyth. 250; R. P. 59 b) goes back to Aristoxenos and DikaiarchosNote 40 · When discussing the Pythagorean system, Aristotle always refers it to “the Pythagoreans,” not to Pythagoras himself. That this was intentionNote 41 · The fragments of the Πυθαγορικαὶ ἀποφάσεις of Aristoxenos are given by Diels, Vors. pp. 282 sqq.Note 44 · The proper Greek term for this is παλιγγενεσία, and the inaccurate μετεμψύχωσις only occurs in late writers. Hippolytos and Clement of AlexaNote 49 · The sect of the “Akousmatics” was said to descend from Hippasos (Iambl. V. Pyth. 81; R. P. 56). Now Hippasos was the author of a μυστικὸς λόNote 50 · Diels has collected these fragments in a convenient form (Vors. pp. 291 sqq.). For our purpose the most important passages are Antiphanes, fNote 51 · See Bernays, Theophrastos’ Schrift über Frömmigkeit. Porphyry’s tract, Περὶ ἀποχῆς ἐμψύχων, was doubtless saved from the general destructionNote 52 · The passage occurs De Abst. p. 58, 25 Nauck: ἱστοροῦσι δέ τινες καὶ αὐτοὺς ἅπτεσθαι τῶν ἐμψύχων τοὺς Πυθαγορείους, ὅτε θύοιεν θεοῖς. The parNote 58 · Arist. Περὶ τῶν Πυθαγορείων, fr. 186, 1510 a 39, Πυθαγόρας Μνησάρχου υἱὸς τὸ μὲν πρῶτον διεπονεῖτο περὶ τὰ μαθήματα καὶ τοὺς ἀριθμούς, ὕστερNote 59 · Its immediate source is to be found in Plato, Laws, 790 d 2 sqq., where the Korybantic rites are adduced as an instance. For a full account Note 60 · Plato gives this as the Pythagorean view in Phd. 62 b, for the interpretation of which cf. Espinas in Arch. viii. pp. 449 sqq. Plato distincNote 61 · See Döring in Arch. v. pp. 505 sqq. There seems to be a reference to the theory of the “three lives” in Herakleitos, fr. 111. It was apparenNote 63 · Apart from the story in Iamblichos (V. Pyth. 148) that Eurytos heard the voice of Philolaos from the grave after he had been many years deadNote 64 · Arist. Met. Ν, 5. 1092 b 8 (R. P. 76 a). Aristotle does not quote the authority of Archytas here, but the source of his statement is made quNote 65 · Arithmetic is older than geometry, and was much more advanced in Egypt, though still in the form which the Greeks called λογιστική rather thNote 66 · Nikomachos of Gerasa, Introd. Arithm. p. 83, 12, Hoche, Πρότερον δὲ ἐπιγνωστέον ὅτι ἕκαστον γράμμα ᾧ σημειούμεθα ἀριθμόν, οἷον τὸ ι, ᾧ τὸ δέNote 67 · Cf. the formula Οὐ μὰ τὸν ἁμετέρᾳ γενεᾷ παραδόντα τετρακτύν, which is all the more likely to be old that it is put into the mouth of PythagoNote 68 · Speusippos wrote a work on the Pythagorean numbers, based chiefly on Philolaos, and a considerable fragment of it is preserved in the TheoloNote 69 · For these see Theon, Expositio, pp. 93 sqq. Hiller. The τετρακτύς used by Plato in the Timaeus is the second described by Theon (Exp. p. 94,Note 70 · Cf. Milhaud, Philosophes géomètres, pp. 115 sqq. Aristotle puts the matter thus (Phys. Γ, 4. 203 a 13): περιτιθεμένων γὰρ τῶν γνωμόνων περὶ Note 72 · We have ὅροι of a series (ἔκθεσις), then of a proportion, and in later times of a syllogism. The signs :, ::, and ∴ are a survival of the orNote 73 · In his commentary on Euclid i. 44, Proclus tells us on the authority of Eudemos that the παραβολή, ἔλλειψις, and ὑπερβολή of χωρία were PythNote 74 · The verb ὑποτείνειν is, of course, used intransitively. The explanation suggested in the text seems to me much simpler than that of Max C. PNote 75 · The statement comes from Eudemos; for it is found in Proclus’s commentary on Euclid i. 47. Whether historical or not, it is no NeopythagoreaNote 76 · Arist. An. Pr. Α, 23. 41 a 26, ὅτι ἀσύμμετρος ἡ διάμετρος διὰ τὸ γίγνεσθαι τὰ περιττὰ ἴσα τοῖς ἀρτίοις συμμέτρου τεθείσης. The proofs given Note 77 · Plato, Theaet. 147 d 3 sqq.Note 78 · How novel these consequences were, is shown by the fact that in Laws, 819 d 5, the Athenian Stranger says that he had only realised them latNote 80 · Plato (Tim. 36 a 3) defines the harmonic mean as τὴν ... ταὐτῷ μέρει τῶν ἄκρων αὐτῶν ὑπερέχουσαν καὶ ὑπερεχομένην. The harmonic mean of 12 aNote 86 · Arist. Phys. Δ, 6. 213 b 23 (R. P. 75 a). The words διορίζει τὰς φύσεις have caused unnecessary difficulty, because they have been supposed Note 92 · This is quoted by Plutarch, de def. orac. 422 b, d, from Phanias of Eresos, who gave it on the authority of Hippys of Rhegion. If we may folNote 95 · For a clear statement of this view (which was still that of Demokritos), see Lucretius, v. 621 sqq. The view that the planets had an orbitalNote 102 · As Elea was founded by the Phokaians six years after they left Phokaia (Herod. i. 164 sqq.) its date is just 540-39 B.C. Cf. the way in whicNote 107 · Diog. ix. 18 (R. P. 96). The use of the old name Zankle, instead of the later Messene, points to an early source for this statement—probablyNote 108 · Diog. ix. 18 (R. P. 97) says αὐτὸς ἐρραψῴδει τὰ ἑαυτοῦ, which is a very different thing. Nothing is said anywhere of his reciting Homer, andNote 138 · Met. Α, 5. 986 b 21 (R. P. 101), πρῶτος τούτων ἑνίσας. The verb ἑνίζειν occurs nowhere else, but is plainly formed on the analogy of μηδίζειNote 139 · Tht. 181 a 6, τοῦ ὅλου στασιῶται. The noun στασιῶτης has no other meaning than “partisan.” There is no verb στασιοῦν “to make stationary,” aNote 142 · Met. 981 b 24. The words cannot mean “gazing up at the whole heavens,” or anything of that sort. They are taken as I take them by Bonitz (imNote 14 · The λόγος is simply the discourse of Herakleitos himself; though, as he is a prophet, we may call it “the Word.” It can neither mean a discoNote 18 · The word κόσμος must mean “world” here, not merely “order;” for only the world could be identified with fire. This use of the word is PythagNote 21 · The subject of fr. 23 is γῆ, as we see from Diog. ix. 9 (R. P. 36), πάλιν τε αὖ τὴν γὴν χεῖσθαι; and Aet. i. 3, 11 (Dox. p. 284 a 1; b 5), ἔNote 29 · I cannot think it likely that Herakleitos said both παλίντονος and παλίντροπος ἁρμονίη, and I prefer Plutarch’s παλίντονος (R. P. 34 b) to tNote 37 · I think now with Diels that the words οὕτω βαθὺν λόγον ἔχει are probably genuine. They present no difficulty if we remember that λόγος meansNote 40 · Sext. Math. vii. 133, διὸ δεῖ ἕπεσθαι τῷ ξυνῷ. It seems to me that these words must belong to Herakleitos, though Bywater omits them. On theNote 41 · The words λόγῳ τῳ τὰ ὅλα διοικοῦντι, which Diels prints as part of this fragment, seem to me to belong to Marcus Aurelius and not to HerakleNote 44 · This seems to be a clear reference to the “three lives.” See Chap. II. § 45, p. 108.Note 46 · On the meaning of δαίμων here, see my edition of Aristotle’s Ethics, pp. 1 sq. As Professor Gildersleeve puts it, the δαίμων is the individuNote 52 · The word συνοικειοῦν is used of the Stoic method of interpretation by Philodemos (cf. Dox. 547 b, n.), and Cicero (N.D. i. 41) renders it byNote 55 · The source of his error was Hegel’s remarkable statement that there was no proposition of Herakleitos that he had not taken up into his own Note 56 · That the Fire of Herakleitos was something on the same level as the “Air” of Anaximenes and not a “symbol,” is clearly implied in such passaNote 64 · Arist. de An. Β, 2. 405 a 26, τὴν ἀναθυμίασιν ἐξ ἧς τἆλλα συνίστησιν.Note 65 · The presence of Herakleitean matter in this treatise was pointed out by Gesner, but Bernays was the first to make any considerable use of itNote 67 · Arist. de An. Α, 2. 405 a 25 (R. P. 38). Diels attributes to Herakleitos himself the words καὶ ψυχαὶ δὲ ἀπὸ τῶν ὑγρῶν ἀναθυμιῶνται, which arNote 71 · τὸ περιέχον ἡμᾶς, opposed to but parallel with τὸ περιέχον τὸν κόσμον.Note 73 · We need not hesitate to ascribe to Herakleitos the view that the dead become guardian demons of the living; it appears already in Hesiod, WoNote 82 · This is certainly the general sense of the parallelism between the periods of the ἀνθρώπειον and the θεῖον γεννητόν, however we may understaNote 83 · Arist. de Caelo, Α, 10. 279 b 14, οἱ δ’ ἐναλλὰξ ὁτὲ μὲν οὕτως ὁτὲ δὲ ἄλλως ἔχειν φθειρόμενον, ... ὥσπερ Ἐμπεδοκλῆς ὀ Ἀκραγαντῖνος καὶ ἩράκλεNote 93 · This is just the argument which Plato uses in the Phaedo (72 c) to prove the necessity of ἀνταπόδοσις, and the whole series of arguments in Note 94 · However we understand the term κόσμος here, the meaning is the same. Indeed, if we suppose with Bernays that it means “order,” the argument Note 95 · Περὶ διαίτης, i. 3 (see above, p. 167, n. 383, οὐδέτερον γὰρ κρατῆσαι παντελῶς δύναται διὰ τάδε· τό <τε> πῦρ ἐπεξιὸν ἐπὶ τὸ ἔσχατον τοῦ ὕδατNote 100 · Plato’s exposition of the relativity of knowledge in the Theaetetus (152 d sqq.) can hardly go back to Herakleitos himself, but is meant to Note 9 · Diog. ix. 23 (R. P. 111). Plut. adv. Col. 1226 a, Παρμενίδης δὲ τὴν ἑαυτοῦ πατρίδα διεκόσμησε νόμοις ἀρίστοις, ὥστε τὰς ἀρχὰς καθ’ ἕκαστον ἐNote 14 · I read with Zeller (p. 558 n. 1, Eng. trans. p. 584, n. 1) τὸ γὰρ αὐτὸ νοεῖν ἔστιν τε καὶ εἶναι. Apart from the philosophical anachronism ofNote 17 · I take πάντων as neuter and understand παλίντροπος κέλευθος as equivalent to the ὁδὸς ἄνω κάτω of Herakleitos. I do not think it has anythinNote 25 · Note the curious echo of Il. v. 214. Empedokles has it too (v. 154). It appears to be a joke, made in the spirit of Xenophanes, when it was Note 26 · This fragment of the theory of knowledge which was expounded in the second part of the poem of Parmenides must be taken in connexion with whNote 27 · This is a fragment of Parmenides’s embryology. Diels’s fr. 18 is a retranslation of the Latin hexameters of Caelius Aurelianus quoted R. P. Note 28 · Arist. de Caelo, Γ, 1. 298 b 21, ἐκεῖνοι δὲ (οἱ περὶ Μέλισσόν τε καὶ Παρμενίδην) διὰ τὸ μηθὲν μὲν ἄλλο παρὰ τὴν τῶν αἰσθητῶν οὐσίαν ὑπολαμβάNote 29 · We must not render τὸ ἐόν by “Being,” das Sein or l’être. It is “what is,” das Seiende, ce qui est. As to (τὸ) εἶναι it does not, and could Note 61 · Diog. ix. 23, καὶ δοκεῖ (Παρμενίδης) πρῶτος πεφωρακέναι τὸν αὐτὸν εἶναι Ἕσπερον καὶ Φωσφόρον, ὥς φησι Φαβωρῖνος ἐν πέμπτῳ Ἀπομνημονευμάτων· Note 62 · Plato, Symp. 195 c 1. It is implied that these παλαιὰ πράγματα were πολλὰ καὶ βίαια, including such things as ἐκτομαί and δεσμοί. The EpicurNote 79 · My colleague, Dr. Fraser Harris, points out to me that Alkmaion’s πόροι may have been a better guess than he knew. The nerve-fibres, when maNote 2 · For this we have the authority of Apollodoros (Diog. viii. 51, 52; R. P. 162), who follows the Olympic Victors of Eratosthenes, who in turn Note 3 · Glaukos wrote Περὶ τῶν ἀρχαίων ποιητῶν καὶ μουσικῶν, and is said to have been contemporary with Demokritos (Diog. ix. 38). Apollodoros adds Note 4 · See Diels, “Empedokles und Gorgias,” 2 (Berl. Sitzb., 1884). Theophrastos said that Empedokles was born “not long after Anaxagoras” (Dox. p.Note 8 · In the first edition, I suggested the analogy of accusations for incivisme. Bidez says (p. 127), “J’imagine qu’un Jacobin aurait mieux jugé Note 11 · Diog. viii. 63. Aristotle probably mentioned this in his Sophist. Cf. Diog. viii. 57.Note 12 · Diog. viii. 59 (R. P. 162). Satyros probably followed Alkidamas. Diels suggests (Emp. u. Gorg. p. 358) that the φυσικός of Alkidamas was a dNote 20 · The Περὶ νόσων of Herakleides, from which it is derived, seems to have been a sort of medico-philosophical romance. The words are (Diog. viiNote 23 · Galen, x. 5, ἤριζον δ’ αὐτοῖς (the schools of Kos and Knidos) ... καὶ οἱ ἐκ τῆς Ἰταλίας ἰατροί, Φιλιστίων τε καὶ Ἐμπεδοκλῆς καὶ Παυσανίας καNote 24 · See Diels, “Empedokles und Gorgias” (Berl. Sitzb., 1884, pp. 343 sqq.). The oldest authority for saying that Gorgias was a disciple of EmpedNote 26 · See M. Wellmann, Fragmentsammlung der griechischen Ärtzte, vol. i. (Berlin, 1901). According to Wellmann, both Plato (in the Timaeus) and DiNote 27 · For the four elements, cf. Anon. Lond. xx. 25 (Menon’s Iatrika), Φιλιστίων δ’ οἴεται ἐκ δʹ ἰδεῶν συνεστάναι ἡμᾶς, τοῦτ’ ἔστιν ἐκ δʹ στοιχείωNote 28 · Hippokr. Περὶ ἰερῆς νόσου, c 1, μάγοι τε καὶ καθάρται καὶ ἀγύρται καὶ ἀλαζόνες. The whole passage should be read. Cf. Wellmann, p. 29 n.Note 32 · R. P. 162 h. The story is always told with a hostile purpose.Note 33 · R. P. ib. This was the story told by Herakleides of Pontos, at the end of his romance about the ἄπνους.Note 34 · Timaios took the trouble to refute the common stories at some length (Diog. viii. 71 sqq.; R. P. ib.). He was quite positive that EmpedoklesNote 49 · Reading ἄμβροτα δ’ ὅσσ’ ἴδει with Diels. For the word ἶδος, cf. frs. 62, 5; 73, 2. The reference is to the moon, etc., which are made of solNote 55 · The lines are referred to Xenophanes by Aristotle, who quotes them de Caelo, Β, 13. 294 a 21. See above, Chap. II. p. 137.Note 58 · Retaining εἴδεος (i.e. ἴδεος), which is read in the MSS. of Simplicius. Cf. above, p. 243, n. 549.Note 65 · This passage is quoted by Aristotle (de Respir, 473 b 9), who makes the curious mistake of taking ῥινῶν for the genitive of ῥίς instead of ῥNote 66 · This seems to be the experiment described in Probl. 914 b 26, ἐὰν γάρ τις αὐτῆς (τῆς κλεψύδρας) αὐτὴν τὴν κωδίαν ἐμπλήσας ὕδατος, ἐπιλαβὼν τNote 69 · Bernays conjectured ῥῆμα, “decree,” for χρῆμα, but this is not necessary. Necessity is an Orphic personage, and Gorgias, the disciple of EmpNote 71 · According to Porphyry, who quotes this line (de Antro Nymph. 8), these words were spoken by the “powers” who conduct the soul into the worldNote 73 · I have retained ἀλλόγνωτι as nearer the MSS., though a little hard to interpret. On the subsequent history of the Orphic chiton in gnostic iNote 76 · The MSS. of Porphyry have γραπτοῖς τε ζώοισι, which is accepted by Zeller and Diels. The emendation of Bernays (adopted in R. P.) does not cNote 77 · These lines were already referred to Pythagoras by Timaios (Diog. viii. 54). As we are told (Diog. ib.) that some referred the verses to ParNote 80 · For the history of the term στοιχεῖον see Diels, Elementum. Eudemos said (ap. Simpl. Phys. p. 7, 13) that Plato was the first to use it, andNote 82 · Arist. Phys. Δ, 6, 213 a 22 (R. P. 159). Aristotle only mentions Anaxagoras by name in this passage; but he speaks in the plural, and we knoNote 83 · In antiquity the Homeric Allegorists made Hera Earth and Aidoneus Air, a view which has found its way into Aetios from Poseidonios. It aroseNote 86 · Ibid. Α, 8. 325 b 19 (R. P. 164 e). This was so completely misunderstood by later writers that they actually attribute to Empedokles the docNote 87 · We know from Menon that Philistion put the matter in this way. See p. 235, n. 527.Note 93 · Plato, Laws, x. 889 b. The reference is not to Empedokles exclusively, but the language shows that Plato is thinking mainly of him.Note 103 · For the phrase τοῦ περὶ τὸν ἀέρα πάγου cf. Περὶ διαίτης, i. 10, 1, πρὸς τὸν περιέχοντα πάγον. Et. M. s.v. βηλὸς ... τὸν ἀνωτάτω πάγον καὶ πεNote 106 · Arist. de Caelo, Β, 13. 295 a 16 (R. P. 170 b). The experiment with τὸ ἐν τοῖς κυάθοις ὕδωρ, which κύκλῳ τοῦ κυάθου φερομένου πολλάκις κάτω Note 118 · [Arist.] de plantis, Α, 1. 815 a 15.Note 121 · Aet. v. 19, 5 (R. P. 173). Plato has made use of the idea of reversed evolution in the Politicus myth.Note 125 · Cf. Plato, Symp. 189 e.Note 134 · That is, watery vapour, not the elemental air or αἰθήρ (§ 107). It is identical with the “water” mentioned below. It is unnecessary, therefoNote 142 · The definition is quoted from Gorgias in Plato, Men. 76 d 4. All our MSS. have ἀπορραοὶ σχημάτων, but Ven. T has in the margin γρ. χρημάτων,Note 145 · R. P. 178 a. This was the characteristic doctrine of the Sicilian school, from whom it passed to Aristotle and the Stoics. Plato and HippokrNote 9 · Plato, Hipp. ma. 283 a, τοὐναντίον γὰρ Ἀναξαγόρᾳ φασὶ συμβῆναι ἢ ὑμῖν· καταλειφθέντων γὰρ αὐτῷ παλλῶν χρημάτων καταμελῆσαι καὶ ἀπολέσαι πάντNote 14 · Phys. Op. fr. 4 (Dox. p. 478), Ἀναξαγόρας μὲν γὰρ Ἡγησιβούλου Κλαζομένιος κοινωνήσας τῆς Ἀναξιμένους φιλοσοφίας κ.τ.λ. In his fifth edition Note 23 · Birds, 988. Aristophanes had no respect for orthodoxy when combined with democratic opinions.Note 24 · Plut. Per. 32 (R. P. 148), where some of the original words have been preserved. The phrase τὰ θεῖα and the word μετάρσια are archaisms fromNote 29 · The oldest authority for the honours paid to Anaxagoras is Alkidamas, the pupil of Gorgias, who said these were still kept up in his own timNote 31 · Schaubach (An. Claz. Fragm. p. 57) fabricated a work entitled τὸ πρὸς Λεχίνεον out of the pseudo-Aristotelian de plantis, 817 a 27. But the Note 49 · The connexion was already noted by the eclectic Herakleitean to whom I attribute Περὶ διαίτης, i. 3-4 (see above, Chap. III. p. 167, n. 383)Note 50 · Arist. de Gen. Corr. Α, 1, 314 a 18, ὁ μὲν γὰρ (Anaxagoras) τὰ ὁμοιομερῆ στοιχεῖα τίθησιν, οἷον ὀστοῦν καὶ σάρκα καὶ μυελόν, καὶ τῶν ἄλλων ὧNote 53 · Arist. de Gen. Corr. Α, 1. 314 a 29. The word πανσπερμία was used by Demokritos (Arist. de An. 404 a 8; R. P. 200), and it occurs in the ΠερNote 63 · Note that Anaxagoras says “air” where Empedokles usually said “aether,” and that “aether” is with him equivalent to fire. Cf. Arist. de CaelNote 8 · This appears to follow at once from the remark of Simmias in Phd. 64 b. The whole passage would be pointless if the words φιλόσοφος, φιλοσοφNote 11 · It is a good illustration of the defective character of our tradition (Introd. § XIII.) that this was quite unknown till the publication of Note 32 · He is distinctly called a Krotoniate in the extracts from Menon’s Ἰατρικά (cf. Diog. viii. 84). It is true that Aristoxenos called him and ENote 39 · For the doctrine of “Philolaos,” cf. fr. 1 = 2 Ch. (R. P. 64); and for the unknowable ἐστὼ τῶν πραγμάτων, see fr. 3 = 4 Ch. (R. P. 67). It hNote 59 · Cf. Speusippos in the extract preserved in the Theologumena arithmetica, p. 61 (Diels, Vors. p. 235), τὸ μὴν γὰρ ᾱ στιγμή, τὸ δὲ β̄ γραμμή, Note 63 · We learn from Plato, Theaet. 148 b 1, that Theaitetos called surds, what Euclid calls δυνάμει σύμμετρα, by the name of δυνάμεις, while ratioNote 68 · All this has been put in its true light by the publication of the extract from Menon’s Ἰατρικά, on which see p. 322, n. 742.Note 74 · Aet. ii. 6, 5 (R. P. 80); “Philolaos,” fr. 12 (= 20 M.; R. P. 79). On the ὁλκάς, see Gundermann in Rhein. Mus. 1904, pp. 145 sqq. I agree wiNote 76 · Cf. the ὑποζώματα of Plato, Rep. 616 c 3. As ὕλη generally means “timber” for shipbuilding (when it does not mean firewood), I suggest that Note 82 · See Gow, Short History of Greek Mathematics, p. 151, and the passages there referred to, adding Schol. Luc. p. 234, 21, Rabe, τὸ πεντάγραμμοNote 87 · Plato attributes an axial rotation to the heavenly bodies (Tim. 40 a 7), which must be of this kind. It is quite likely that the PythagoreanNote 93 · Boeckh admitted a very slow motion of the heaven of the fixed stars, which he at first supposed to account for the precession of the equinoxNote 94 · Aet. ii. 20, 13 (Chap. IV. p. 275, n. 609); cf. ib. 12 (of Philolaos), ὥστε τρόπον τινὰ διττοὺς ἡλίους γίγνεσθαι, τό τε ἐν τῷ οὐρανῷ πυρῶδεςNote 103 · The term οἱ μαθηματικοί is that used by Poseidonios for the Chaldæan astrologers (Berossos). Diels, Elementum, p. 11, n. 3. As we have seen,Note 116 · Cf. especially the words ὃ θρυλοῦμεν ἀεί (76 d 8). The phrases αὐτὸ ὃ ἔστιν, αὐτὸ καθ’ αὑτό, and the like are assumed to be familiar. “We” dNote 118 · Plato, Soph. 248 a 4.Note 119 · See Diels, Elementum, pp. 16 sqq. Parmenides had already called the original Pythagorean “elements” μορφαί (§ 91), and Philistion called theNote 2 · Plato, Parm. 127 b (R. P. 111 d). The visit of Zeno to Athens is confirmed by Plut. Per. 4 (R. P. 130 e), where we are told that Perikles “hNote 3 · Plato, Soph. 241 d (R. P. 130 a).Note 12 · Simpl. Phys. p. 1108, 18 (R. P. 131). If this is what Aristotle refers to, it is hardly safe to attribute the κεγχρίτης λόγος to Zeno himselNote 16 · Plato, Parm. 127 d. Plato speaks of the first ὑπόθεσις of the first λόγος, which shows that the book was really divided into separate sectioNote 21 · The technical terms used in Plato’s Parmenides seem to be as old as Zeno himself. The ὑπόθεσις is the provisional assumption of the truth ofNote 30 · Simpl. Phys. p. 99, 13, ὡς γὰρ ἰστορεῖ, φησίν (Ἀλέξανδρος), Εὔδημος, Ζήνων ὁ Παρμενίδου γνώριμος ἐπειρᾶτο δεικνύναι ὅτι μὴ οἷόν τε τὰ ὄντα πNote 39 · Simpl. Phys. p. 562, 3 (R. P. 135). The version of Eudemos is given in Simpl. Phys. p. 563, 26, ἀξιοῖ γὰρ πᾶν τὸ ὂν ποῦ εἷναι· εἱ δὲ ὁ τόποςNote 44 · The word is ὄγκοι; cf. Chap. VII. p. 338, n. 794. The name is very appropriate for the Pythagorean units, which Zeno had shown to have lengtNote 69 · Bäumker, op. cit. p. 58, n. 3: “That Melissos was a weakling is a fable convenue that people repeat after Aristotle, who was unable to appreNote 19 · Arist. de Caelo, Γ, 4. 303 a 8, τρόπον γάρ τινα καὶ οὕτοι (Λεύκιππος καὶ Δημόκριτος) πάντα τὰ ὄντα ποιοῦσιν ἀριθμοὺς καὶ ἐξ ἀριθμῶν. This alNote 20 · The Epicureans misunderstood this point, or misrepresented it in order to magnify their own originality (see Zeller, p. 857, n. 3; Eng. tranNote 21 · Arist. de Caelo, Α, 7. 275 b 32, τὴν δὲ φύσιν εἶναί φασιν αὐτῶν μίαν; Phys. Γ, 4. 203 a 34, αὐτῷ (Δημοκρίτῳ) τὸ κοινὸν σῶμα πάντων ἐστὶν ἀρχNote 22 · Arist. Met. Α, 4. 985 b 13 (R. P. 192); cf. de Gen. Corr. 315 b 6. As Diels suggests, the illustration from the letters of the alphabet is pNote 23 · Demokritos wrote a work, Περὶ ἰδεῶν (Sext. Math. vii. 137; R. P. 204), which Diels identifies with the Περὶ τῶν διαφερόντων ῥυσμῶν of ThrasyNote 24 · Arist. Phys. Θ, 9. 265 b 25; Simpl. Phys. p. 1318, 33, ταῦτα γὰρ (τὰ ἄτομα σώματα) ἐκεῖνοι φύσιν ἐκάλουν.Note 29 · These are to be found in Aet. i. 4 (Dox. p. 289; Vors. p. 347; Usener, Epicurea, fr. 308). Epicurus himself in the second epistle (Diog. x. Note 33 · Arist. Phys. Β, 4. 196 a 24 (R. P. 195 d). Cicero, de nat. D. i. 66 (R. P. ib.). The latter passage is the source of the phrase “fortuitous Note 36 · Aet. i. 3, 18 (of Epicurus), συμβεβηκέναι δὲ τοῖς σώμασι τρία ταῦτα, σχῆμα, μέγεθος, βάρος. Δημόκριτος μὲν γὰρ ἔλεγε δύο, μέγεθός τε καὶ σχῆNote 42 · The Aristotelian criticisms which may have affected Epicurus are such as we find in de Caelo, 275 b 29 sqq. Aristotle there argues that, as Note 59 · Diels pointed out that Leukippos’s explanation of thunder (πυρὸς ἐναποληφθέντος νέφεσι παχυτάτοις ἔκπτωσιν ἰσχυρὰν βροντὴν ἀποτελεῖν ἀποφαίνNote 1 · Cf. what is said in Chap. IV. p. 167, n. 383, of the Περὶ διαίτης. The Περὶ ἀνθρώπου φύσιος and the Περὶ ἀρχαίης ἰατρικῆς are invaluable docNote 2 · Cf. Chap. VIII. p. 379, n. 919.Note 3 · Aristoxenos said he was a Samian (R. P. 219 a). In Menon’s Iatrika he is called a Krotoniate, while others assign him to Rhegion or MetapontNote 12 · Diog. ix. 57 (R. P. 206). The statement of Antisthenes, the writer of Successions, that he had “heard” Anaximenes is due to the usual confusNote 20 · The MSS. of Simplicius have ἔθος, not θεός; but I adopt Usener’s certain correction. It is confirmed by the statement of Theophrastos, that Note 23 · See Weygoldt, “Zu Diogenes von Apollonia” (Arch. i. pp. 161 sqq.). Hippokrates himself represented just the opposite tendency to that of thoNote 42 · For an amusing picture of the Herakleiteans see Plato, Tht. 179 e. The new interest in language, which the study of rhetoric had called into
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