Do not confuse reasons which sound good with good, sound reasons.
Mathematics is fantastic. It is a subject where we do not have to take anyone’s word or opinion. The truth is not determined by a higher authority who says ‘because I say so’, or because they saw it in a dream, the pixies at the bottom of their garden told them, or it came from some ancient mystical tradition. The truth is determined and justified with a mathematical proof.
What is a proof?
A proof is an explanation of why a statement is true. More properly ...