Quote:
Originally Posted by kovidgoyal
. . . Greek philosopher Epimenedes. He said,
"Epimenedes, the Cretan, says that all Cretans are liars. Does he tell tell the truth?"
This was problem was shown to hold for any axiom system (i.e. any system of knowledge) by Godel, in his famous Incompleteness Theorem. So no we cannot answer every question, even theoretically.
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Given that as a starting point might humble us somewhat. It is one of the more important ideas of our modern era. Should we consider it unproven?
Actually, I find it quite relaxing
