@2oovy We need a philosophical geometry manifesto. Surely the non-embeddability of manifolds of negative curvature in Euclidean space is of a similar kind of significance as incompleteness results.
@2oovy No explanation, but Germany surely had a contending run in the first half of the 19th century. German idealism and Gauss, Jacobi, Euler, Einsenstein, Dirichlet, etc. Maybe longer because the second half wasn't slacking off either
@2oovy O, I agree with that, I'm just pointing out that the analytic, philosophical idea of rigour is not the only idea of rigour in philosophy. The dialectic tends to be very broad in terms of what it can talk about, and has definitely been very fruitful in the history of philosophy
@2oovy Analytic philosophical rigour tends not to do that, it mostly comes out of some anxiety about the epistemic standing of philosophical thinking. But Hegel's dialectic or Kant's architectonic as varieties of rigour do, I think, tend to make things accessible that were'nt before