“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
“We want to have certainties and no doubts- results and no experiments- without even seeing that certainties can arise only through doubt and results only thorough experiment.” WantResultsDoubtSeeingExperimentsAriseCertaintyNo DoubtThorough Author:Carl Jung
“First, the only certainty is that there is no certainty. Second, every decision, as a consequence, is a matter of weighing probabilities. Third, despite uncertainty we must decide and we must act. And lastly, we need to judge decisions not only on the results, but on how they were made.” NeedsFirstsMadeMatterDecisionResultsJudgingConsequenceThirdsDespiteCertaintyUncertaintyProbabilityWeighing Author:Robert Rubin
“If you raise your standards but don't really believe you can meet them, you've already sabotaged yourself. You won't even try; you'll be lacking the sense of certainty that allows you to tap the deepest capacity that's within you... Our beliefs are like unquestioned commands, telling us how things are, what's possible and impossible and what we can and can not do. They shape every action, every thought and every feeling that we experience. As a result, changing our belief systems is central to making any real and lasting change in our lives.” IfsTryingBelieveRealFeelingsActionBeliefResultsOur LivesImpossibleShapesStandardsCapacityRaisesSettingCommandCertaintyLastingWithin YouLackingCan NotChanging Your LifeBelief SystemsBelieve You CanSabotageHigh StandardsPossible And ImpossibleLimiting BeliefsLasting ChangeRaise Your Standards Author:Tony Robbins
“Fashion is not public opinion, or the result of embodiment of public opinion. It may be that public opinion will condemn the shape of a bonnet, as it may venture to do always, and with the certainty of being right nine times in ten: but fashion will place it upon the head of every woman in America; and, were it literally a crown of thorns, she would smile contentedly beneath the imposition.” MayAmericaResultsOpinionFashionShapesTenNineCertaintyCrownsVenturePublic OpinionThornsEmbodimentImpositionBonnetsCrown Of Thorns Author:J. G. Holland