Gulliver's attitude towards women seems somewhat contradictory, to say the least. He seems to associate women with gross sexuality. He talks about prostitutes as carriers of STDs that bring down noble houses. And we can't help but notice that, in Laputa, all the men get caught up in Deep Thoughts, so their ladies start sleeping around with foreigners. Under this system, guys get the brains and women get the sexual bodies – we don't see any Laputian women needing those flapper things to remind them of what they're doing. At the same time, while Gulliver does seem to have a fairly poor opinion of women and their morality, he does advocate that women should receive the same kinds of education men do. After all, he argues, why would you want the mother of your children to be an idiot? Both Brobdingnag and Houyhnhnm Land practice this policy of equal education for the sexes.
The Lilliputians educate girls to be better companions for their husbands, but the Houyhnhnms educate their girls to be better mothers to their children. This indicates a fundamental difference in perspective between the two cultures on what roles women should play in their families.
Gulliver views reason and sexual desire as incompatible; by associating women with the body and bodily desire, he implies that they have less capacity to reason than men do.