Alex it is my humble opinion that the ones that fell by the wayside were functional autistics at best. To have worthwhile gedunken experiments takes a mind that has studied all the current knowlege in great depth. It needs a very good grasp of the underlying mathematics. If you do not know what an elliptical integral is that is dealing with discontinuities and thus infinities it is an impossible task.
This is about where I lost interest in pure mathematics as I was too busy dealing with reality.
I have trouble keeping up with and understanding what has already been discovered.
A simple theorem. A finite mind cannot comprehend an infinite anything.
Another question I was asked a long time ago. Has the human mind enough intelligence to understand itself?
Godel says NO!
I think that the Universe by it's inherent indeterminism at quantum and chaotic levels and sheer size overcomes all the paradoxes that are inherent in any closed logical system.
Bert
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