science

also there's various forms of randomness which cannot be pre-computed. and that includes observing the world around you.

it's interesting, because there's even things within maths itself that cannot be pre-computed. just consider the n-th digit of any irrational number, such as the square root of 2. any computer, no matter how you prepare it, necessarily only has finite knowledge (because you can only prepare finite knowledge on a computer). therefore, there's always an n big enough sothat the computer does not yet know the n-th digit of the irrational number; therefore it is random from the computer's point of view.