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.
Sure it is. 1 is the multiplicative identity, the number you start at when you multiply anything. 2^2 is really 1x2x2. 2^1 is 1x2. So 2^0 is… just 1.