because math doesn't do experiments.
> But one of the distinctive things about math is that our papers aren’t just records of experiments we did elsewhere. In experimental sciences, the experiment is the “real work” and the paper is just a description of it. But in math, the paper, itself, is the “real work”.
And
> And that means that you can replicate a math paper by reading it.
I'd say most times it's "modeling", not "experimenting"
It's not like you make a hypothesis in math and then need to go away and interview a sample of 1,000 circles and report back that, controlling for ellipses that may be misreporting as circles, the ratio of the circumference to the diameter is 3.2 +/- 0.1 (p<0.05).
Science attempts to describe reality. Math attempts to create rules/axioms.
They're not the same pursuit, although they can often be useful together.