I’m tempted to say “It is what it is”. Again I have to ask what x = x means outside of mathematics.
No idea. It’s not something we’re capable of thinking about. But what about Schrödinger’s cat? Isn’t a superposition of states a violation of that principle?
None of those questions seem to illustrate that.
That’s just observation. You can of course say that any observation is a subjective experience, but I don’t see what is gained thereby. Your point remains opaque.
You should try saying what you mean and doing it clearly. So far, no real idea.
Does that mean it has to be true? If so, it isn’t an axiom, it’s a claim for which the world is evidence.
Does this have anything to do with axiomatic truths about the world, which was supposedly the topic?