I think one of the exciting things about maths is its ability almost to look at itself and say things about mathematics itself. And actually at the end of the book, I talk about the power of mathematics sometimes to show when a problem doesn't have a clever shortcut. One of our great unsolved problems is something called P versus NP. We can use maths sometimes to show that there may not be such an algorithm that you can get away with without sort of just trying all of the routes and seeing which is the smallest. So maybe we have at least kind of four perspectives on math as a game, as a tool and also as a form of truth seeking. That's quite a nice description of the

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