“In the meantime, most noble Sir, you have assigned this question to the geometry of position, but I am ignorant as to what this new discipline involves, and as to which types of problem Leibniz and Wolff expected to see expressed in this way.” WayProblemPositionTypeDisciplineMathematicsNobleExpectedIgnorantGeometryEuler Author:Leonhard Euler
“There is plenty of room left for exact experiment in art, and the gate has been opened for some time. What had been accomplished in music by the end of the eighteenth century has only begun in the fine arts. Mathematics and physics have given us a clue in the form of rules to be strictly observed or departed from, as the case may be. Here salutary discipline is come to grips first of all with the function of forms, and not with form as the final result … in this way we learn how to look beyond the surface and get to the root of things.” WayFirstsLooksMayHas BeensArtEndsFormLeftGivenRoomsResultsMusicCasesLearningCenturyFineDisciplineRootsFunctionMathematicsFinalsSurfacePhysicsExperimentsPlentyAccomplishedGatesClueFine ArtsDeparted Author:Paul Klee
“General Systems Theory is a name which has come into use to describe a level of theoretical model-building which lies somewhere between the highly generalized constructions of pure mathematics and the specific theories of the specialized disciplines. Mathematics attempts to organize highly general relationships into a coherent system, a system however which does not have any necessary connections with the "real" world around us. It studies all thinkable relationships abstracted from any concrete situation or body of empirical knowledge.” WorldDoeRealUseBodyLyingNamesLevelsSituationStudyBuildingTheoryDisciplinePureModelsConnectionsMathematicsReal WorldConstructionConcreteOrganizeTheoreticalThinkableSystems Theory Author:Kenneth E. Boulding
“Berkshire was built on the eternal verities: basic mathematics, basic horse sense, basic fear, and basic diagnosis of human nature to make predictions regarding human behavior. We stuck to the basics with a certain amount of discipline and it has worked out quite well.” HumansWellsCertainHuman NatureAmountDisciplineBehaviorEternalBuiltHorseMathematicsInvestingStuckPredictionsHuman BehaviorDiagnosisBasicsHorse Sense Author:Charlie Munger
“Mathematics is not a separate entity. It owes a great deal of its power and its beauty to other disciplines.” DealsDisciplineMathematicsEntity Author:Mark Kac
“I would say, if you like, that the party is like an out-moded mathematics...that is to say, the mathematics of Euclid. We need to invent a non-Euclidian mathematics with respect to political discipline.” IfsNeedsPoliticalPartyDisciplineMathematicsGeometryEuclid Author:Alain Badiou
“Mathematics is the queen of disciplines.... it will drive the nonsense out of your head!” DisciplineMathematicsQueensNonsense Author:Leo Tolstoy
“If you ask ... the man in the street ... the human significance of mathematics, the answer of the world will be, that mathematics has given mankind a metrical and computatory art essential to the effective conduct of daily life, that mathematics admits of countless applications in engineering and the natural sciences, and finally that mathematics is a most excellent instrumentality for giving mental discipline... [A mathematician will add] that mathematics is the exact science, the science of exact thought or of rigorous thinking.” IfsThinkingMenWorldGivingHumansArtScienceAsksGivenNaturalAnswersStreetsMankindHe ManDisciplineEssentialsMathematicsAddExcellentDaily LifeSignificanceApplicationEngineeringMathematicianSelf DisciplineNatural ScienceExact Sciences Author:Cassius Jackson Keyser
“I do not think the division of the subject into two parts - into applied mathematics and experimental physics a good one, for natural philosophy without experiment is merely mathematical exercise, while experiment without mathematics will neither sufficiently discipline the mind or sufficiently extend our knowledge in a subject like physics.” ThinkingMindTwoPhilosophyScienceNaturalSubjectsDisciplineExerciseMathematicsPhysicsExperimentsMathematicalDivisionNatural PhilosophyApplied Mathematics Author:Balfour Stewart
“Mathematics, in the common lay view, is a static discipline based on formulas...But outside the public view, mathematics continues to grow at a rapid rate...the guid to this growth is not calculation and formulas, but an open ended search for pattern.” GrowsGrowthViewsCommonTeachingDisciplineMathematicsLaysRatePatternsMathFormulasMathematicianRapidsCalculationsStaticMath EducationMathematics By Mathematicians Author:Lynn Steen
“The discipline of economics has yet to get over its childish passion for mathematics and for purely theoretical and often highly ideological speculation, at the expense of historical research and collaboration with the other social sciences.” PassionSocialDisciplineResearchEconomicsMathematicsHistoricalOver ItExpensesCollaborationGet OverSpeculationTheoreticalIdeologicalSocial ScienceHistorical Research Author:Thomas Piketty