[chongli]

A lot of the theorems I learned in school weren’t particularly amenable to intuitive explanations like that.

For example, take Galois theory. The fact that a polynomial’s solvability by radicals depends on the solvability of its Galois group is surprising and not intuitive at all. The fundamental theorem of Galois theory is a very technical result utilizing purpose-built mathematical structures that were developed specifically to study the solutions of polynomial equations.