How we cite our quotes: (Act.Line)
Quote #1
Arkadina: My dear, I believe in you! You simply must go on the stage!
Nina: Oh, that's my dream. (Sighs) but it'll never happen. (1.128-29)
Arkadina must compliment Nina so freely because she thinks the unconnected girl will never have access to the stage. Either that or she's trying to hide her jealousy from Trigorin.
Quote #2
Arkadina: I have a fixed rule: I never think about the future. I don't think about old age, I don't think about dying. Whatever happens happens. (2.3)
It might be true that Arkadina doesn't plan for the future, but it's clear that she thinks about it. Otherwise she wouldn't have such a stranglehold on Trigorin; she'd let him go, certain that another was right behind him.
Quote #3
Sorin: I worked for twenty-eight years in a government office, and I haven't had a life, I haven't experienced it or anything. And I want to—you understand what I mean? (2.37)
Though Sorin is in late middle age and is ill, he still hopes that some life is ahead of him: a romance with a young woman, or even just a trip to town.