In this chapter, we get a glimpse into Vronsky's head.
He's never had a real family life. His mother was renowned for her beauty and her affairs. Vronsky barely remembers his father. He was more or less brought up in the Corps of Pages, a military school, where he became a brilliant officer.
Vronsky is rich, charming, and handsome—of course he's been pretty lucky with the ladies.
Used to the devices of society women (about which we'll find out more in a later chapter), Kitty's pure heart has something rare and charming about it, and Vronsky's delighted with her company.
He is completely unaware that he might be leading her on, or that he's expected to propose to Kitty after courting her so publicly.
Marriage doesn't seem like a possibility to him. Vronsky doesn't like family life, and pictures the role of the family, and especially that of the husband, as completely alien to him, ridiculous, even.
He goes to bed quite undisturbed, and happy that he had a pleasant night at the Shcherbatsky house.