We're pretty far from perfect standards of rigor even now, with set theory on shaky foundations, and lots of topological arguments relying on pictures rather than exact reasoned arguments. Still, it is all the human study of deriving rigorous results — even if we still don't know exactly how to do this. —Dan
On Jul 6, 2015, at 1:08 PM, Andy Latto <andy.latto@pobox.com> wrote:
2) The human culture of mathematicians studying pure math (the study of deriving rigorous results from rigorous rules*)
Unless you want to exclude Gauss, Euler, and Euclid from this culture, I think you need a different definition (or a slightly different mathematics 2A, that also requires its own definition) that includes the study of the same subject in ways that do not meet modern standards of rigor.