How we cite our quotes: (Chapter.Paragraph)
Quote #7
We laughed together. I had come to the conclusion a long time ago that all women were killers, but now I was deciding that all men were out of their mind. (3.299)
Rojack is both a killer and out of his mind, so he must have a feminine side after all. Once again, however, he views the world through hackneyed stereotypes, perceiving all women as potential femme fatales. If anything, this new viewpoint expressed here represents a little bit of equal treatment. Baby steps.
Quote #8
She looked at different instants like a dozen lovely blondes, and now and again a little like the little boy next door. (4.7)
Once again, Rojack doesn't see Cherry as an individual, instead transforming her into some sort of pop culture chimera that represents the very idea of hot blondes. As usual, he refuses to see a woman as a human being.
Quote #9
I was taken with this vanity, I was absorbed with it, for like most attractive women, her toes were the ugliest part of her body. (4.17)
This idea of an ugly imperfection hidden within something beautiful is seen throughout the novel. This is actually one of the few moments where Rojack actually humanizes Cherry instead of seeing her as representative of all women. It's not much, but it's a start.