The trouble with the world is that the stupid are cocksure and the intelligent are full of doubt.[Bertrand Russell, by way of Dichotomy's Purgatory]
On the other hand, even the smart are too cocksure:
Gödel is best known for his proof of "Gödel's Incompleteness Theorems". In 1931 he published these results in über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme. He proved fundamental results about axiomatic systems, showing in any axiomatic mathematical system there are propositions that cannot be proved or disproved within the axioms of the system. In particular the consistency of the axioms cannot be proved. This ended a hundred years of attempts to establish axioms which would put the whole of mathematics on an axiomatic basis. One major attempt had been by Bertrand Russell with Principia Mathematica (1910-13).[School of Mathematical and Computational Sciences
University of St Andrews]
Doubt would seem to be the more correct state. Doubt -- but with the proviso that when it's time to act, one absolutely must act according to one's best understanding, doubt or not. Wisdom, it may be argued, consists in large part in knowing when that time has come.
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