“This therefore is Mathematics: She reminds you of the invisible forms of the soul; She gives life to her own discoveries; She awakens the mind and purifies the intellect; She brings light to our intrinsic ideas; She abolishes oblivion and ignorance which are ours by birth.” LifeGivingMindIdeasSoulLightFormScienceIgnoranceBirthDiscoveryMathematicsIntellectInvisibleIgnorantOblivionAbolishMath And Science Author:Proclus
“Failure is instructive. The person who really thinks learns quite as much from his failures as from his successes. Genuine ignorance is profitable because it is likely to be accompanied by humility, curiosity, and open-mindedness; whereas ability to repeat catch-phrases, can't terms, familiar propositions, gives the conceit of learning and coats the mind with varnish waterproof to new ideas.” ThinkingGivingMindPersonsIdeasSuccessTermAbilityFailingHumilityIgnoranceOptimismOvercomingPerseveranceCuriosityGenuineFamiliarPhrasesRepeatsNew IdeasCoatsPropositionsProfitableConceitOpen Mindedness Author:John Dewey
“I am convinced that it is impossible to expound the methods of induction in a sound manner, without resting them upon the theory of probability. Perfect knowledge alone can give certainty, and in nature perfect knowledge would be infinite knowledge, which is clearly beyond our capacities. We have, therefore, to content ourselves with partial knowledge - knowledge mingled with ignorance, producing doubt.” GivingWould BeScienceSoundAbilityPerfectKnowledgeDoubtImpossibleIgnoranceTheoryCapacityInfiniteMethodConvincedCertaintyProbabilityInfinite Knowledge Author:William Stanley Jevons