“Mystery is an inescapable ingredient of mathematics. Mathematics is full of unanswered questions, which far outnumber known theorems and results. It's the nature of mathematics to pose more problems than it can solve. Indeed, mathematics itself may be built on small islands of truth comprising the pieces of mathematics that can be validated by relatively short proofs. All else is speculation.” MayProblemResultsKnownPiecesMysteryBuiltLogicMathematicsSolveProofCertaintyUncertaintyIslandsReasoningIngredientsSpeculationOntologyTheoremsUnanswered QuestionsUnanswered Author:Ivars Peterson
“While I do not think it was so intended I have always been of the opinion that this turned out to be much the best for me. I had no national experience. What I have ever been able to do has been the result of first learning how to do it. I am not gifted with intuition. I need not only hard work but experience to be ready to solve problems. The Presidents who have gone to Washington without first having held some national office have been at great disadvantage.” ThinkingNeedsFirstsHas BeensHardProblemAblePoliticsPresidentResultsOpinionGoneReadyHard WorkOfficeIntuitionSolveGiftedDisadvantages Author:Calvin Coolidge
“Nature never rhymes her children, nor makes two men alike. When we see a great man, we fancy a resemblance to some historical person, and predict the sequel of his character and fortune, a result which he is sure to disappoint. None will ever solve the problem of his character according to our prejudice, but only in his high unprecedented way.” MenWayChildrenPersonsTwoCharacterProblemLeadershipResultsGreatnessPrejudiceHistoricalFortuneSolveFancyGreat MenRhymeDisappointUnprecedentedSequelsResemblance Book:Essays and Lectures Source: Essays and Lectures