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by yters 2621 days ago
If human knowledge is bound in brains which run on the laws of physics, then axiomatic systems are all we can ever have.

That being said, I agree human knowledge is not limited by GIT. However, this is proof that the human mind transcends the finite physical realm.

Regarding infinity, check out the Wikipedia article on the axiom of infinity:

https://en.wikipedia.org/wiki/Axiom_of_infinity#Interpretati...

"However, the other axioms are insufficient to prove the existence of the set of all natural numbers. Therefore, its existence is taken as an axiom—the axiom of infinity."
1 comments
PixyMisa 2621 days ago
> That being said, I agree human knowledge is not limited by GIT.

That's like saying 2 + 2 is not limited by being 4. You can "know" that 2 + 2 is 5. You're just wrong.

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yters 2621 days ago
That doesn't follow.

The human mind could be meta-rational so it can generate new consistent axioms that cannot be derived from the existing known axioms. The history of mathematical progress seems to be pretty good evidence our minds can do this.

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