Other Pythagorean Women of whom we know more than the mere name are Phintys, Perictyone, Melissa, Ptolemais, and Timycha. Phintys wrote a book On Womanly Virtue; Perictyone--often erroneously identified with the mother of Plato--composed a work On Wisdom, much prized by Aristotle, and another Concerning the Harmony of Women,--that is, concerning the accord of life and thought, of feelings and actions, the right relations between body and spirit. Fragments of these works show the Pythagorean idea concerning the mission of woman. They connect the duties of woman with the propensities and faculties peculiarly her own. To the men, they leave the defence of the country and the administration of public affairs; to the women, they assign the government of the home, the guardianship of the family hearth, and the education of children. Personality is regarded as the dominating virtue of man--chastity, of woman.

Melissa is known only by a short fragment on feminine love of adornment; and Ptolemais was a specialist in music and an authority on the Pythagorean theory of music in its relation to life. Of Timycha we have a characteristic story. She lived in the time of Dionysius of Syracuse. A party of Pythagorean pilgrims, while on their way to Metapontum to celebrate certain rites, were attacked by a band of Syracusans. They at first fled; but when they saw they must pass through a field of beans, they suddenly stopped and fought till the last one was killed. The Syracusans shortly after came upon Mylias of Croton and his wife, Timycha, who, on account of her delicate condition, had been left behind by the rest of their party. They were arrested and brought before the tyrant. Dionysius promised them liberty and an escort to their destination if they would tell him why the deceased Pythagoreans refused to tread on the beans. But they refused to tell. Dionysius's curiosity was all the more excited, and he had the husband taken aside, that he might question the wife alone, feeling convinced that he could compel her to answer his question. Threatened with the torture, and fearing lest in her weakness she might be overcome, Timycha bit out her tongue rather than reveal the secrets of her order.

In these Pythagorean Women, we observe the perfect blending of intellectual beauty with moral elevation. Perhaps no later age has presented a higher ideal of feminine perfection. Their system of culture taught them how to pursue at the same time the most abstruse philosophical speculations and the most insignificant duties of practical life, and the higher learning in their hands never led to a sacrifice of true womanliness.

Passing from Croton to Athens, Socrates, the father of the various philosophical schools, had no female disciples, so far as we are informed; but he is credited with saying that he learned the ait of love from the priestess Diotima, and that of eloquence from Aspasia. Xenophon also recounts a lengthy conversation of Socrates with the hetsera Theodota concerning the art of winning men. His most eminent disciple, Plato, had numerous pupils of the gentler sex. Plato possessed in large measure the ewig weibliche, which Goethe deems an essential element in all great men. As a young man he was given to composing love poems, but the names of his youthful sweethearts are not known. His visits to Southern Italy made him sympathetic with woman's literary aspirations; and when he opened the door of the Academy to them, women flocked to his lecture room from various cities of Hellas. It was the first known instance in Athens of women engaging in philosophy.

The female members of the Academy did not attain to such distinction as did the Pythagorean Women. The latter were of Dorian blood, and lived, according to the rules of their order, in the greatest simplicity and industry; the former were chiefly of Ionian stock and were more inclined to lives of ease and luxury. Consequently, they did not cultivate those domestic virtues which made the Pythagorean Women so superior. Athens was not the place for feminine ambition to receive proper recognition, and the honorable maids and matrons could not, if they wished, pursue the study of philosophy in association with the male sex; hence the feminine element of the Academy was composed of strangers, who were attracted to Athens by the fame of the philosopher.

Of Plato's immediate family, only his sister Potone, the mother of his pupil and successor Speusippus, appears to have engaged in philosophical studies. Of the strangers associated with the Academy, under Plato and later under Speusippus, two gained especial distinction--Axiothea and Lasthenia.

Axiothea, who was also called Phlisia, was a native of Phlius, a small Peloponnesian town in the district of Sicyon, whence came the poetess Praxilla. The story goes that some works of Plato fell into the maiden's hands, and she read them with great zeal and industry. His Republic finally aroused her enthusiasm to such a pitch that her desire for personal instruction from the philosopher could no longer be resisted. So she assumed masculine attire, made the journey alone to Athens, and was received into the Academy. She continued the use of men's clothing, and for a long time concealed her sex, becoming one of the most prominent and zealous members of the school. Plato was so impressed with her ability that, as tradition says, he would postpone his lectures if Axiothea chanced to be absent. When he was asked the reason for such an interruption, he replied: "The intellect sufficient to grasp the subject is not yet present"--meaning Axiothea. She frequented the Academy also under Speusippus, and became herself a teacher of philosophy. Nothing but What is commendable is known of her, but her reputation has suffered from the association of her name with that of Lasthenia. The latter came from Arcadia to Athens to hear Plato, attracted, as was her fellow student, by the fame of the philosopher. The prevailing life of the stranger-women in Athens, however, undermined her moral principles, and she played in the Academy a similar rôle to that played by Leontium later among the Epicureans. Speusippus himself was her lover. Though better known for her adventures as a hetæra, she also possessed some reputation as a philosopher. Dionysius once wrote to Speusippus: "One can also learn philosophy from your Arcadian pupil."

The Cyrenaic School, founded by Aristippus, the forerunner of the Epicurean in its doctrine of pleasure, naturally attracted women, especially courtesans, into its membership. The celebrated Lais the Elder was numbered among the Cyrenaics; but there were also high-minded women among its disciples.

Arete, daughter of Aristippus, continued the latter's teachings after his death. Her father had given her a most thorough education, and himself instructed her in philosophy. She was taught to despise riches and luxury and to observe moderation in all things. Aristippus once said: "The greatest thing which my daughter Arete has to thank me for is that I have taught her to set a value on nothing she can do without." Arete was also learned in natural history and in other branches of science. She passed her time partly in Athens, partly in Cyrene and other Greek cities; and wherever she went she aroused great interest by the charm of her beauty and amiability. There is no reproach whatever upon her good name: she appears to have been an ingenuous, highly endowed woman, devoted to science and philosophy. As head of the Cyrenaic School after her father's death, she had many distinguished pupils, among them Theodorus and Aristippus the Younger. She was a prolific writer; forty works are attributed to her, on philosophy, on agriculture, on the wars of the Athenians, on the life of Socrates, and various other subjects, showing the wide range of her interests. She died at Cyrene, in the seventy-seventh year of her age; and in the inscription over her grave she was styled a "light of Hellas."

The coarse doctrines of the Cynic school, founded by Antisthenes, were not attractive to women, yet the school had one female representative who has become famous and has been in recent years the subject of a racy romantic poem. This Cynic was Hipparchia.