Well, most students in (contemporary) math programs don't learn to derive their axioms from Euclid (construction of naturals are usually done via Peano), their

Well, most students in (contemporary) math programs don't learn to derive their axioms from Euclid (construction of naturals are usually done via Peano), their Calculus from Newton's Principia, and nor do they learn their set theory from Cantor's original papers. Instead they learn from modern textbooks that make only a passing reference to the original authors.