[andrewflnr]

> You're going to have to give me examples of what other beliefs we hold that occupy that space.

Yeah, there's not a lot down there, mostly your assumptions about your sense inputs corresponding to some kind of causally consistent external reality. It's the same region as the lead up to what you seem to take as an axiom, "Justified belief about reality has to be based on measurement".

[zero-sharp]

I think I just experienced how much self-deception there is about the world. So it's not really an axiom. There's no shortage of metaphysical ideas from the past, from well-intentioned people who thought they could intuit the world, that we have had to throw out.

[andrewflnr]

> I think I just experienced how much self-deception there is about the world.

This is not actually a proof. It is, however, exactly the kind of soft reasoning that motivates reasonable axioms. I'm not saying it's a bad axiom, I'm saying you should know what you're doing. That way when you run into a domain where it doesn't apply very well, you know where and how to back up and restart.