See the Hippocratic corpus for similar thinking. In Thucydides, women are silent. See Perikles' funeral oration in Book 2 of the Peloponnesian War. When they do appear, they are act contrary to their true nature. Look at women in ethnographic writing, for example, Herodotus.
Barbarians do things upside down.
Sparta, interestingly enough, is the only Greek state he treats in an ethnographic fashion. Spartans function as the Greek other. Xenophon, an Athenian general and historian, displayed a repressive tolerance towards women. He was selectively broad-minded.