For example: I don’t believe in the axiom of choice nor in the continuum hypothesis.
Not stuff like “math is useless” or “people hate math because it’s not well taught”, those are opinions about math.
I’ll start: exponentiation should be left-associative, which means a^b should mean b×b×…×b } a times.
x factorial is the number of ways you can arrange x different things. There’s only one way to arrange zero things.
I could still debate the proposition that zero things can be arranged in any way.
That sounds like a philosophical position, not a mathematical one.
You are right but that is a dangerous proposal because math is just applied philosophy :)