Abe: This time travel crap, just fries your brain like a egg.
Joe: This is my life now. I earned it. You had yours already. So why don't you do what old men do, and die?
Older Joe: I don't want to talk about time travel because if we start talking about it then we're going to be here all day talking about it, making diagrams with straws.
Joe: Time travel has not yet been invented. But thirty years from now, it will have been.
Seth: Ask yourself: who would I sacrifice for what's MINE?
Joe: I'm gonna fix this! I'm gonna find him, and I'm gonna kill him!
Chosen answer: The first time the time-loop occurred it is not necessarily due to Bruce Willis' character killing her. She could have died in another way, instigating the timeline in which Bruce Willis is taken to close his loop. He knows who the rainmaker is and therefore attempts to kill him in order to preserve his happy future. This in turn creates a brand new timeline in which Joe kills himself to save Sara, who in turn prevents the rainmaker from becoming a crime lord.