I would say that ZFC constitutes a proof of the limits of mathematics.
I would say that the construction of all of mathematics from operations is trivial. Which is its strength.
I would say that the the development of techniques of deduction (proofs of possibility) given constant relations made possible by positional names is one of the high points of human intellectual achievement.
I would say that those that are capable of applied mathematics in the discovery of patterns in reality is an art that never ceases to amaze me. if for no other reason, than like chess, it requires extraordinary state memory (modeling), extraordinary discipline, and the exercise of talent without much chance of material reward.
I mean, the only people I am absolutely awed by when I meet them are applied and theoretical mathematicians. And I know that in the very least, they have far superior short term memories and modeling capabilities.
And while I seem to have a talent for deflation (causality), I could never compete with that category of mind.
I am fairly happy playing second fiddle to their art.
Source date (UTC): 2017-07-02 18:04:00 UTC
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