from A Beautiful Mind (2001)
Nash: In competitive behavior someone always loses.
Charles: Well, my niece knows that, John, and she's about this high.
Nash: See if I derive Equilibrium where prevalence is a non-singular event where nobody loses, can you imagine the effect that would have on conflict scenarios, arm negotiations...
Nash: There has to be a mathematical explanation for how bad that tie is.
Hansen: So how about it, Nash? You scared?
Nash: Terrified... mortified... petrified... stupefied... by you.
Nash: I've made the most important discovery of my life. It's only in the mysterious equation of love that any logic or reasons can be found. I'm only here tonight because of you. You are the only reason I am... you are all my reasons.
Nash: What truly is logic? Who decides reason? My quest has taken me to the physical, the metaphysical, the delusional, and back. I have made the most important discovery of my career - the most important discovery of my life. It is only in the mysterious equations of love that any logic or reasons can be found. I am only here tonight because of you
[looking at and speaking to Alicia]
Nash: You are the only reason I am. You are all my reasons. Thank you.
[Applause from audience]
Dr. Rosen: You can't reason your way out of this!
Nash: Why not? Why can't I?
Dr. Rosen: Because your mind is where the problem is in the first place!
[From deleted scene]
Nash: Perhaps it is good to have a beautiful mind, but an even greater gift is to discover a beautiful heart.
Alicia: How big is the universe?
Nash: Infinite.
Alicia: How do you know?
Nash: I know because all the data indicates it's infinite.
Alicia: But it hasn't been proven yet.
Nash: No.
Alicia: You haven't seen it.
Nash: No.
Alicia: How do you know for sure?
Nash: I don't, I just believe it.
Alicia: It's the same with love I guess.
Alicia: [about the stars] I once tried to count them all. I, actually, made it to 4,348.
Nash: You are exceptionally odd.
Alicia: I bet you're very popular with the girls.
Nash: She never gets old! Marcee can't be real; she never gets old!
Nash: If we all go for the blonde and block each other, not a single one of us is going to get her. So then we go for her friends, but they will all give us the cold shoulder because no one likes to be second choice. But what if none of us goes for the blonde? We won't get in each other's way and we won't insult the other girls. It's the only way to win. It's the only way we all get laid.
[Showing Charles one of his window equations]
Nash: This is a group playing touch football. This is a flock of pigeons fighting over bread crumbs. And this is a woman chasing a man who stole her purse.
Charles: John, you watched a mugging. That's weird.
Nash: You wanted to see if I was crazy and would screw everything up if I actually won.
[Hansen is concerned about John still having hallucinations]
Nash: They are my past. Everyone is haunted by their past.
Nash: Classes will dull your mind.
Nash: It looks like you won after all.
Hansen: No. They were wrong, John. No one wins.
Nash: I've gotten used to ignoring them and I think, as a result, they've kind of given up on me. I think that's what it's like with all our dreams and our nightmares, Martin, we've got to keep feeding them for them to stay alive.
Nash: I assume you've gotten quite used to miscalculation. I read your pre-prints. Both of 'em. One on Nazi scientists and the other one on, uh... non-linear equations and I'm extremely confident that there's not one seminal or innovative idea in either one of them... Enjoy your punch.
Nash: You once said that God must be a painter because he gave us so many colors.
Alicia: I didn't think you were listening...
Nash: I was listening.
Nash: I find you attractive. Your aggressive moves toward me... indicate that you feel the same way. But still, ritual requires that we continue with a number of platonic activities... before we have sex. I am proceeding with these activities, but in point of actual fact, all I really want to do is have intercourse with you as soon as possible.
[pause]
Nash: Are you gonna slap me now?
Alicia: The problem you left on the board, I solved it.
John Nash: No, you didn't.
Alicia: You didn't even look!
John Nash: I never said the vector fields were rational functions... Your solution is elegant, though ultimately incorrect.