The successor, however, of Pythagoras, is acknowledged by all men to have been Aristæus, the son of Damophon the Crotonian, who existing at the same time as Pythagoras, was seven ages prior to Plato. Aristæus likewise, was not only thought worthy to succeed Pythagoras in his school, but also to educate his children, and marry his wife Theano, because he was eminently skilled in the Pythagoric dogmas. For Pythagoras himself is said to have taught in his school, forty years wanting one, and to have lived nearly one hundred years. But Aristæus, when much advanced in years, relinquished the school; and after him Mnesarchus succeeded, who was the son of Pythagoras. Bulagoras succeeded Mnesarchus, in whose time it happened that the city of the Crotonians was plundered. Gartydas the Crotonian succeeded Bulagoras, on his return from a journey which he had undertaken prior to the war. Nevertheless on account of the calamity of his country, he suffered so much anxiety, as to die prematurely through grief. But it was the custom with the rest of the Pythagoreans, when they became very old, to liberate themselves from the body as from a prison.

Moreover, some time after, Aresas Lucanus, being saved through certain strangers, undertook the management of the school; and to him came Diodorus Aspendius, who was received into the school, on account of the paucity of the Pythagoreans it contained. And in Heraclea, indeed, were Clinias and Philolaus; but at Metapontum, Theorides and Eurytus; and at Tarentum Archytas. It is also said that Epicharmus was one of the foreign auditors; but that he was not one of the school. Having however arrived at Syracuse, he abstained from philosophizing openly, on account of the tyranny of Hiero. But he inserted the conceptions of the men in metre, and published in comedies the occult dogmas of Pythagoras.

Of all the Pythagoreans, however, it is probable that many are unknown and anonymous. But the following are the names of those that are known and celebrated: Of the Crotonians, Hippostratus, Dymas, Ægon, Æmon, Sillus, Cleosthenes, Agelas, Episylus, Phyciadas, Ecphantus, Timæus, Buthius, Eratus, Itmæus, Rhodippus, Bryas, Evandrus, Myllias, Antimedon, Ageas, Leophron, Agylus, Onatus, Hipposthenes, Cleophron, Alcmæon, Damocles, Milon, Menon. Of the Metapontines, Brontinus, Parmiseus, Orestadas, Leon, Damarmenus, Æneas, Chilas, Melisias, Aristeas, Laphion, Evandrus, Agesidamus, Xenocades, Euryphemus, Aristomenes, Agesarchus, Alceas, Xenophantes, Thraseus, Arytus, Epiphron, Eiriscus, Megistias, Leocydes, Thrasymedes, Euphemus, Procles, Antimenes, Lacritus, Damotages, Pyrrho, Rhexibius, Alopecus, Astylus, Dacidas, Aliochus, Lacrates, Glycinus. Of the Agrigentines, Empedocles. Of the Eleatæ, Parmenides. Of the Tarentines, Philolaus, Eurytus, Archytas, Theodorus, Aristippus, Lycon, Hestiæus, Polemarchus, Asteas, Clinias, Cleon, Eurymedon, Arceas, Clinagoras, Archippus, Zopyrus, Euthynus, Dicæarchus, Philonidas, Phrontidas, Lysis, Lysibius, Dinocrates, Echecrates, Paction, Acusiladas, Icmus, Pisicrates, Clearatus.

Of the Leontines, Phrynichus, Smichias, Aristoclidas, Clinias, Abroteles, Pisyrrhydus, Bryas, Evandrus, Archemachus, Mimnomachus, Achmonidas, Dicas, Carophantidas. Of the Sybarites, Metopus, Hippasus, Proxenus, Evanor, Deanax, Menestor, Diocles, Empedus, Timasius, Polemæus, Evæus, Tyrsenus. Of the Carthaginians, Miltiades, Anthen, Odius, Leocritus. Of the Parians, Æetius, Phænecles, Dexitheus, Alcimachus, Dinarchus, Meton, Timæus, Timesianax, Amærus, Thymaridas. Of the Locrians, Gyptius, Xenon, Philodamus, Evetes, Adicus, Sthenonidas, Sosistratus, Euthynus, Zaleucus, Timares. Of the Posidonians, Athamas, Simus, Proxenus, Cranous, Myes, Bathylaus, Phædon. Of the Lucani, Ocellus and Occillus who were brothers, Oresandrus, Cerambus, Dardaneus, Malion. Of the Ægeans, Hippomedon, Timosthenes, Euelthon, Thrasydamus, Crito, Polyctor. Of the Lacones, Autocharidas, Cleanor, Eurycrates. Of the Hyperboreans, Abaris. Of the Rheginenses, Aristides, Demosthenes, Aristocrates, Phytius, Helicaon, Mnesibulus, Hipparchides, Athosion, Euthycles, Opsimus. Of the Selinuntians, Calais. Of the Syracusans, Leptines, Phintias, Damon. Of the Samians, Melissus, Lacon, Archippus, Glorippus, Heloris, Hippon, Of the Caulonienses, Callibrotus, Dicon, Nastas, Drymon, Xentas. Of the Phliasians, Diocles, Echecrates, Polymnastus, Phanton. Of the Sicyonians, Poliades, Demon, Sostratius, Sosthenes. Of the Cyrenæans, Prorus, Melanippus, Aristangelus, Theodorus. Of the Cyziceni, Pythodorus, Hipposthenes, Butherus, Xenophilus. Of the Catanæi, Charondas, Lysiades. Of the Corinthians, Chrysippus. Of the Tyrrhenians, Nausitheus. Of the Athenians, Neocritus. And of Pontus, Lyramnus. In all, two hundred and eighteen. [And these, indeed, are not all the Pythagoreans, but of all of them they are the most famous. ]

But the most illustrious Pythagorean women are Timycha, the wife of Myllias the Crotonian. Philtis, the daughter of Theophrius the Crotonian, Byndacis, the sister of Ocellus and Occillus, Lucanians. Chilonis, the daughter of Chilon the Lacedæmonian. Cratesiclea the Lacedæmonian, the wife of Cleanor the Lacedæmonian. Theano, the wife of Brontinus of Metapontum. Mya, the wife of Milon the Crotonian. Lasthenia the Arcadian. Abrotelia, the daughter of Abroteles the Tarentine. Echecratia the Phliasian. Tyrsenis, the Sybarite. Pisirrhonde, the Tarentine. Nisleadusa, the Lacedæmonian. Bryo, the Argive. Babelyma, the Argive. And Cleæchma, the sister of Autocharidas the Lacedæmonian. In all seventeen.