How we cite our quotes: All quotations are from Memento.
Quote #1
NATALIE: Don't just recite the words. Close your eyes and remember her.
LEONARD: You can just feel the details. The bits and pieces you never bothered to put into words. And you can feel these extreme moments, even if you don't want to. You put these together and you get the feel of a person, enough to know how much you miss them.
We all know what Leonard's talking about. Our memories are so visual that it's impossible to describe them, or even to think about them consciously. Remembering is like conjuring up our past. This scene is eerie because there's no music; it's just raw memory.
Quote #2
LEONARD: Probably tried this before. Probably burned truckloads of your stuff. Can't remember to forget you.
This is a parallel of what Leonard says later about being unable to heal without time. His most recent memory is her dying, so her loss is always fresh in his mind. However, one of the things he's burning in this scene is a clock, as if he's trying to destroy the time they've been apart, or at least his memory of it.
Quote #3
LEONARD: Memory's not perfect. It's not even that good. Ask the police, eyewitness testimony is unreliable. The cops don't catch a killer by sitting around remembering stuff. They collect facts, make notes, draw conclusions. Facts, not memories: that's how you investigate. I know; it's what I used to do. Memory can change the shape of a room or the color of a car. It's an interpretation, not a record. Memories can be changed or distorted and they're irrelevant if you have the facts.
Leonard's right about memory; it's really not very good. But Leonard's "facts" aren't always that factual. Plus, they can be misinterpreted. Sometimes a nine is really a six.