>>22Mathematical axioms/postulates "automatically imply" mathematical theorems and lemmae just like certain isotopes' nuclei imply the processes of radioactivity, yet it took Mme. Curie's and Mr. Rutherford's groundbreaking discoveries for humanity to tee that implication. Physics is completely analogous to math.
You mention prime numbers. Well, in 2013 some American chink proved that there is an infinite supply of prime number pairs distanced no more than 70 million from each other. If that is implied in the definition of a prime number, then that's a pretty damn far-going implication if mathematicians couldn't fucking see it for decades.
Proof:
http://annals.math.princeton.edu/2014/179-3/p07But guess what, after that chink's publication James Maynard, a British mathematician, improved the original result from 70 million to 600. Turns out the road from axiom to theorem is not so automatic and rigidly set, huh?
http://arxiv.org/pdf/1311.4600v2.pdfYou say that there are no options other than tautology and error in mathematics, but what about the Riemann hypothesis akd N != NP and other mathematical statements which can be neither proven nor disproven? Turns out there are alternatives, huh?
You make mention of automated proof verification but prefer to elide the fact that generation of proofs and theorem statements does not lend itself to automatization so easily and requires human creativity.
You call mathematics "cancer of the human mind" yet it is the most beautiful and abstract science known to man, and a true testing-bed for human brilliance.
The only difference between mathematics and any natural science is that mathematics, being formal, is absolutely precise and rigorous. But that only serves to improve the value and applicability of its results, not to deteriorate the scientific processes that mathematic scientists use to achieve them, the sweat, blood and creativity that they have to put in to make their discoveries.
So fuck you, buddy.
>>23You've given up way too easily. The only one talking out of his ass was
>>22.