"Everybody runs, Fletch."
Anderton says this to his friend and former colleague, Fletcher, when he tells him not to run. They both know what everyone does in this situation because they both work in PreCrime. The only change now is that Anderton himself is targeted by the department and is the criminal on the run, whereas he used to be the man in pursuit. The statement also playfully alludes to one of the themes of the film: knowing the future before it even happens. They both know that Anderton is going to run, even though Fletcher asks him not to.
"Sean... He's on the beach now, a toe in the water. He's asking you to come in with him. He's been racing his mother up and down the sand. There's so much love in this house. He's ten years old. He's surrounded by animals. He wants to be a vet. You keep a rabbit for him, a bird and a fox. He's in high school. He likes to run, like his father. He runs the two-mile and the long relay. He's 23. He's at a university. He makes love to a pretty girl named Claire. He asks her to be his wife. He calls her and tells Lara, who cries. He still runs. Across the university and in the stadium, where John watches. Oh God, he's running so fast, just like his daddy. He sees his daddy. He wants to run to him. But he's only six years old, and he can't do it. And the other men are so fast. There was so much love in this house."
Agatha has a vision of what Sean's life would have looked like if he had lived. Her vision gives John and Lara the gift of knowing who their son would have been, which creates a kind of closure for the couple. With this speech, we see that Agatha is not only gifted as a prophet of crimes to come, but also as a kind of spiritual intermediary, a person who can lend some structure and insight to traumatic experiences and the ways that people feel robbed by time.
"There hasn't been a murder in 6 years. There's nothing wrong with the system, it is perfect."
Anderton says this to Witwer, who has been brought in by the Justice Department to investigate PreCrime in order to ensure the system is legal. This statement shows that Anderton is fiercely committed to his department, that he believes in it so much that he thinks it is completely perfect and there's nothing wrong with it. Anderton's single-minded support for his work sets him up for the complete disappointment that will befall him later.
"Sometimes, in order to see the light, you have to risk the dark."
Iris Hineman, one of the founders of PreCrime, tells Anderton this when he goes looking for her help after being pegged by PreCrime for the murder of Leo Crow. She suggests that in order for Anderton to understand what's happening to him and find some clarity about his situation, he will have to go to some dark places. Iris is a strange woman, but she possesses a wisdom that Anderton trusts and thinks can help him. This line foreshadows all of the difficulties and darkness that Anderton will have to go through to find some insight and comfort.
"You see the dilemma, don't you. If you don't kill me, Precogs were wrong and PreCrime is over. If you do kill me, you go away, but it proves the system works. The Precogs were right. So, what are you going to do now? What's it worth? Just one more murder? You'll rot in hell with a halo, but people will still believe in PreCrime. All you have to do is kill me like they said you would. Except you know your own future, which means you can change it if you want to. You still have a choice Lamar. Like I did."
At the end of the film, Anderton says this to Lamar Burgess, the evil mastermind behind his troubles. He outlines the fact that Burgess has found himself in a catch-22 of sorts; if he kills Anderton, he will be arrested, but PreCrime, his life's work, will remain a proven success, and if he doesn't kill Anderton, PreCrime will be discredited. Anderton points out that Burgess has created a situation that puts him in a bind, and prevents him from finding a happy ending. He also alludes to the advice that Agatha gave him in the moments before he decided not to kill Leo Crow: that he has a choice to go against what is fated for him.
"Listen, I'll tell you what I'll do. First thing Monday, I'll look over the Witwer evidence. And I'll have Gideon run the Containment files, see if anyone drowned a woman by the name of—what did you say her name was?"
After John gets locked up for the murder of Leo Crow, Lara goes to visit Lamar Burgess for comfort and to ask some questions. She talks about the fact that John was talking about the Anne Lively case, and wants to know more about how the woman died. While Burgess tells her he cannot recall the murder from memory, later in their conversation he says this, which reveals that he knows exactly who Anne Lively was, because he knows that she was drowned, even though Lara didn't mention it. This line marks Lamar Burgess' downfall, because it is when he reveals himself to have lied.
"You still have a choice."
Agatha says this to John when he is on the brink of killing Leo Crow. She advises him that, because he knows his fate, having witnessed it in the PreCrime Department, this gives him the chance to change his narrative and make a choice not to kill Leo. Even though he believes Leo is the man who kidnapped his son, and thus is the only man who he would be motivated to kill almost immediately, John listens to Agatha as she reminds him that he can be in charge of his own destiny, that he doesn't need to just do what was predicted and staged for him.
"The Precogs are never wrong. But, occasionally... they do disagree."
In Anderton's meeting with Iris Hineman, she reveals to him, with this line, that the Precogs are not always in agreement, that even though they always make the right predictions, there are moments when their predictions don't match up. The situation in which one of them has a different vision than the others creates what is known as a "minority report," and it is this bit of information—that perhaps Agatha's vision diverges from the others'—that gives Anderton the hope to keep going.
"I'm not being set up. I really am going to kill this man."
After seeing the photographs on Leo Crow's bed and thinking that Leo Crow is indeed the man that kidnapped his son, Anderton becomes livid. When Crow comes back to his hotel room, Anderton says this line, which suggests that he is so angry and vengeful that he wants to kill Leo Crow, just as the prophecy suggested. Even though this whole time he thought he was being framed, in this moment he sees how he could possibly want to kill a man he's never met.
"Right now the Precogs can't see a thing."
Burgess says this right before he shoots Danny Witwer. Since Agatha has been kidnapped by Anderton, the Precogs no longer have their powers, so Burgess knows that they won't be able to see him murder Witwer. Witwer knows too much about Anne Lively, so Burgess kills him on the spot. This is the moment that we see just what a bad man Burgess is.
