“I have heard myself accused of being an opponent, an enemy of mathematics, which no one can value more highly than I, for it accomplishes the very thing whose achievement has been denied me.” Has BeensValuesEnemyHeardAchievementMathematicsAccomplishOpponentsDeniedAccused Author:Johann Wolfgang von Goethe
“Public space is for living, doing business, kissing, and playing. Its value can't be measured with economics or mathematics; it must be felt with the soul.” SoulValuesFeltSpaceKissingEconomicsMathematics Author:Enrique Penalosa
“Mathemagical mathematics combines the beauty of mathematical structure with the entertainment value of a trick.” ValuesMathematicsStructureEntertainmentTricksMathematical Author:Martin Gardner
“The page of my notebook was filled with many messy integrals, but all of a sudden I saw emerge a formula for counting. I had begun to calculate a quantity on the assumption that the result was a real number, but found instead that, in certain units, all the possible answers would be integers. This meant that areas and volumes cannot take any value, but come in multiples of fixed units.” RealWould BeCertainValuesFoundAnswersResultsNumbersSawsPagesAreasMathematicsFilledFixedAssumptionFormulasQuantityVolumeUnitsCountingMessyNotebookIntegers Book:Three Roads To Quantum Gravity Source: Three Roads To Quantum Gravity
“However the machine would permit us to test the hypothesis for any special value of n. We could carry out such tests for a sequence of consecutive values n=2,3,.. up to, say, n=100. If the result of at least one test were negative, the hypothesis would prove to be false; otherwise our confidence in the hypothesis would increase, and we should feel encouraged to attempt establishing the hypothesis, instead of trying to construct a counterexample.” IfsFeelsShouldTryingScienceValuesResultsSpecialProveNegativeTestsMachinesIncreaseMathematicsPermitConstructsHypothesisSequenceConsecutive Author:Alfred Tarski
“If there should chance to be any mathematicians who, ignorant in mathematics yet pretending to skill in that science, should dare, upon the authority of some passage of Scripture wrested to their purpose, to condemn and censure my hypothesis, I value them not, and scorn their inconsiderate judgement. De Revolutionibus Coelestibus” IfsShouldPurposeValuesChanceSkillsAuthorityMathematicsDareScriptureIgnorantJudgementPretendingPassagesMathematicianHypothesisScornCensureInconsiderate Author:Nicolaus Copernicus