In computation, we start with some information and then get other information from it, but the operations to get there have certain time and space complexity.

In computation, we start with some information and then get other information from it, but the operations to get there have certain time and space complexity. Math works the same except every operation is O(0) time and space complexity. To a mathematician, you start with set of some axioms and then -- boom -- everything possible thing you could derive from that is said to exist. There's a place for both. A mathematician needs to be concerned with what things are true, not how hard it is to see it. But someone who actually needs (or has to manage) specific information may need to be concerned with the difficulty of that.