[106] Euclides was a native of Megara on the Isthmus, ¹ or according to some of Gela, as Alexander states in his Successions of Philosophers. He applied himself to the writings of Parmenides, and his followers were called Megarians after him, then Eristics, and at a later date Dialecticians, that name having first been given to them by Dionysius of Chalcedon because they put their arguments into the form of question and answer. Hermodorus tells us that, after the death of Socrates, Plato and the rest of the philosophers came to him, being alarmed at the cruelty of the tyrants. He held the supreme good to be really one, though called by many names, sometimes wisdom, sometimes God, and again Mind, and so forth. But all that is contradictory of the good he used to reject, declaring that it had no existence.

[107] When he impugned a demonstration, it was not the premisses but the conclusion that he attacked. He rejected the argument from analogy, declaring that it must be taken either from similars or from dissimilars. If it were drawn from similars, it is with these and not with their analogies that their arguments should deal; if from dissimilars, it is gratuitous to set them side by side. Hence Timon says of him, with a side hit at the other Socratics as well ² :

But I care not for these babblers, nor for anyone besides, not for Phaedo whoever he be, nor wrangling Euclides, who inspired the Megarians with a frenzied love of controversy.

[108] He wrote six dialogues, entitled Lamprias, Aeschines, Phoenix, Crito, Alcibiades, and a Discourse on Love. To the school of Euclides belongs Eubulides of Miletus, the author of many dialectical arguments in an interrogatory form, namely, The Liar, The Disguised, Electra, The Veiled Figure, The Sorites, The Horned One, and The Bald Head. Of him it is said by one of the Comic poets ³ : Demosthenes was probably his pupil and thereby improved his faulty pronunciation of the letter R.

[109] Eubulides kept up a controversy with Aristotle and said much to discredit him.

Among other members the school of Eubulides included Alexinus of Elis, a man very fond of controversy, for which reason he was called Elenxinus. In particular he kept up a controversy with Zeno. Hermippus says of him that he left Elis and removed to Olympia, where he studied philosophy. His pupils inquired why he took up his abode here, and were told that it was his intention to found a school which should be called the Olympian school. But as their provisions ran short and they found the place unhealthy, they left it, and for the rest of his days Alexinus lived in solitude with a single servant. And some time afterwards, as he was swimming in the Alpheus, the point of a reed ran into him, and of this injury he died.

[110] I have composed the following lines upon him ⁴ : He has written not only a reply to Zeno but other works, including one against Ephorus the historian.

To the school of Eubulides also belonged Euphantus of Olynthus, who wrote a history of his own times. He was besides a poet and wrote several tragedies, with which he made a great reputation at the festivals. He taught King Antigonus ⁵ and dedicated to him a work On Kingship which was very popular. He died of old age.

[111] There are also other pupils of Eubulides, amongst them Apollonius surnamed Cronus. He had a pupil Diodorus, the son of Ameinias of Iasus, who was also nicknamed Cronus. ⁶ Callimachus in his Epigrams says of him: He too was a dialectician and was supposed to have been the first who discovered the arguments known as the Veiled Figure and the Horned One. When he was staying with Ptolemy Soter, he had certain dialectical questions addressed to him by Stilpo, and, not being able to solve them on the spot, he was reproached by the king and, among other slights, the nickname Cronus was applied to him by way of derision.

[112] He left the banquet and, after writing a pamphlet upon the logical problem, ended his days in despondency. Upon him too I have written lines ⁷ :

The successors of Euclides include Ichthyas, the son of Metallus, an excellent man, to whom Diogenes the Cynic has addressed one of his dialogues; Clinomachus of Thurii, who was the first to write about propositions, predications and the like; and Stilpo of Megara, a most distinguished philosopher, of whom we have now to treat.