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by JadeNB 3899 days ago
On what should they be based, if not a sound foundation that lends itself to rigorously proveable statements (I carefully say only proveable, not proven) and the well developed intuition of a community of experts? To say that, because mathematicians understand and can think about something, they will be able to solve it, seems to be denying the existence of long- (and still-) unsolved elementary problems.