Most of those subsets of math are relatively new and grew alongside or developed into computation (in fairly quick succession, in comparison to the history of m

Most of those subsets of math are relatively new and grew alongside or developed into computation (in fairly quick succession, in comparison to the history of mathematics). In addition, those fields are still actively being worked on as there are still problems that can not be resolved with mathematics alone, and much of that rests on computer science being able to retain much of the structure of mathematics without reinforcing foundations that are problematic or open problems. The mind that sees those problems in computation is a mind that is looking for problems because it is comparing computation to knowledge of mathematics, when there is actually a union between the two that can be provably demonstrated to be built from a foundation that is purely calculable / computable.