- In a fundamental way my job is thinking. You can’t see it from the outside. What does the thinking consist of? I think about how to explain whatever I am thinking about to someone. Then I explain it to someone and it doesn’t work. So I think about it some more. I tinker with it, with thinking, until I’ve simplified it. I personally can only understand things after I’ve thought about them for ages and made them very, very simple
I’ll tell you what interests me about this — it’s really what interests me about mathematics. Nobody else in the whole history of the world has been stupid enough to invent this rule. That’s the first thing. But then, if they had, they would find exactly this behavior that I’m finding.
That’s a curious thing about the nature of mathematical existence. This rule hasn’t physically existed in any sense in the world before a month ago, before I invented it, but it sort of intellectually existed forever. There is this abstract world which in some strange sense has existed throughout eternity.
Imagine an uninhabited planet, full of interesting things. You land on it, and it existed for a million years, but no people have ever been there, no sentient beings. There are such places, I’m sure. Go to some remote star and there will be something. But you don’t have to go there. You can sit in this very chair and find something that has existed throughout all of eternity and be the first person to explore it.
- Most people just understand enough to work. For example, a mechanic doesn’t necessarily understand the physics or engineering of how a car works. I’m not putting down a car mechanic. We need practical people. I’m not sure we need theoretical people. Though I’m not going to campaign for my own abolishment.