There are isomorphisms between any place of that vast world of mathematics and logic too.

Math is also constrained by fitness, not perfection. Just take a look on the number of unproved conjectures we keep around. It's just that the Math community generally places more value on proofs than the programming, but it is a continuous, and there are more tolerant subcomunities of mathematicians and very intolerant ones of programmers too.

I didn't mean that mathematicians don't write code; I meant that doing most mathematics isn't anything like doing programming, even when you're programming in Haskell. Just because two things are isomorphic doesn't mean they're used in the same way. For example, programming is formal but rarely rigorous; mathematics is the opposite.

Most mathematicians do work that is very different from most programmers. Some programmers do work that is similar to most mathematicians, and some mathematicians do work that is similar to most programmers.

Programming can be very rigorous, and mathematics can be very formal and not rigorous. There is a huge middle ground, sparsely populated between those.