Axioms construct / pin down universes.
I am not too happy with the word "universe" here because it conflates the map and the territory. I don't think the territory -- "our own universe", aka the reality -- is describable as a set of axioms.
I'll accept that you can start with a set of axioms and build a coherent, internally consistent map, but the question of whether that map corresponds to anything in reality is open.
I don't think the territory -- "our own universe", aka the reality -- is describable as a set of axioms.
I very strongly do. I think the universe is describable by math. I think there exist one or more sets of statements that can describe the observable universe in its entirety. I can't imagine the alternative, actually. What would that even be like?
That's actually the only fundamental and unprovable point that I take on faith, from which my entire philosophy and epistemology blossoms. ("Unprovable" and "faith" because it...
If it's worth saying, but not worth its own post (even in Discussion), then it goes here.
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