My own definition of mathematics for the sake of this comparison:
- If you can write a formal proof, starting from some assumptions and proving some result, it is mathematics. The assumptions are the axioms. Then you use logic, which is the same programming logic, and then you get to some result.
It can be an invariant in a programming function, it can be a more general result, if you can write a proof, it is mathematics. Most algorithms involve proofs, so they are mathematics.
It has nothing to do with it being "sadism" or academic gatekeeping.
These people are doing mathematics without knowing it is mathematics. That's all.
> Why is it that the drop-outs are succeeding so wildly?
Here is where you can learn about confirmation bias and educate yourself.
It can be an invariant in a programming function, it can be a more general result, if you can write a proof, it is mathematics. Most algorithms involve proofs, so they are mathematics.
It has nothing to do with it being "sadism" or academic gatekeeping.
These people are doing mathematics without knowing it is mathematics. That's all.
> Why is it that the drop-outs are succeeding so wildly?
Here is where you can learn about confirmation bias and educate yourself.