The article seems to say two contradictory things:
A) Axioms are not truths, so G's theorem doesn't mean our ability to grasp truth is limited.
B) G's theorem does not imply the human mind is outside of axiomatic systems.
Isn't it the case that if B is correct, then the mind is contained within some axiomatic system, therefore A is wrong (i.e. our ability to learn truth is indeed limited by G's theorem)? I do not see how both A and B can be correct at the same time.
Isn't it the case that if B is correct, then the mind is contained within some axiomatic system, therefore A is wrong (i.e. our ability to learn truth is indeed limited by G's theorem)? I do not see how both A and B can be correct at the same time.