[Konohamaru]

Back in 200 B.C. we had something called the "Euclid-Archimedes Thesis" (okay it wasn't literally called this) which stated that every measurable curve was either a line or a circle. The idea that there was a way to measure the length of any irregular curve was simply impossible. And this thesis went unchallenged for an amazing 1,800 years until the 17th century when several mathematicians constructed measures for various irregular curves.

Be very skeptical about "theses" that are handwavy about a frontier subject (pure, abstract geometry was just as much of a frontier subject as abstract machines) suspiciously lacking any proof.