There's also the wonderful effect of all "axioms" in philosophy and morality being stated in natural languages, and therefore being utterly ambiguous in all ways.

"No torturing babies for fun" might be agreed by literally everyone (though it isn't in reality), but that doesn't stop people from disagreeing about what acts are "torture", what things constitute "babies", and whether a reason is "fun" or not.

So what does such an axiom even mean?