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Differential Equations Quotes

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Differential Equations Quotes

“Wir Theoso­phen wollen die andern gern verstehen; und wir können war­ten, bis sie uns Gleiches mit Gleichem vergelten werden. Sollte ich mein mathematisch-nüchternes Denken, und meine Spinoza-Verehrung verleugnen müssen, weil ich Theosoph bin, wahrlich ich wäre es in einer Stunde nicht mehr. Da ich aber Theosoph geworden bin, weil ich einstmals zwischen den Vorlesungen über «Integration linearer Differentialglei­chungen», synthetischer Geometrie und deskriptiver Geome­trie wirklich habe mathematisch denken gelernt und damit auch den Zugang zum spirituellen Forschen im Sinne Platos er­langt habe, so wird mir wohl—nichts passieren.”

ChristMathematicsPlatoGeometrySpiritual ScienceTheosophyDifferential EquationsAnthroposophyLucifer Gnosis
Author:Rudolf Steiner
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“It is well known that the central problem of the whole of modern mathematics is the study of transcendental functions defined by differential equations.”

WellsWholeProblemKnownStudyModernLogicFunctionMathematicsDefinedCertaintyUncertaintyReasoningWell KnownEquationsTranscendentalOntologyDifferential Equations
Book:The Evanston Colloquium: Lectures on Mathematics Delivered from Aug. 28 to Sept. 9, 1893 Before Members of the Congress of Mathematics Held in Connection with the World's Fair in Chicago at Northwestern University, Evanston, Ill
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“If you assume continuity, you can open the well-stocked mathematical toolkit of continuous functions and differential equations, the saws and hammers of engineering and physics for the past two centuries (and the foreseeable future).”

IfsWellsTwoPastScienceNatureNaturalSawsCenturyFunctionAssumingPhysicsMathematicalEngineeringEquationsHammersContinuityDifferential Equations
Book:The (Mis)Behaviour of Markets: A Fractal View of Risk, Ruin and Reward
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“...a major triumph of mathematical imagination: the use of visual imagery to condense a large quantity of information into a single comprehensible picture... Mathematicians are just beginning to understand these basic building blocks of change and to analyze how they combine. The methodology involved has a very different spirit from traditional modeling with differential equations: it is more like chemistry than calculus, requiring careful counterpoint between analysis and synthesis.”

ArtDifferentUseSpiritImaginationBeautyInformationBuildingInvolvedMajorsCarefulTraditionalBlockMathematicalTriumphAnalysisVisualsChemistryAestheticQuantityMathematicianEquationsModelingImageryCalculusMethodologySynthesisBuilding BlocksDifferential EquationsVisual Imagery
Author:Ian Stewart
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“If God has made the world a perfect mechanism, He has at least conceded so much to our imperfect intellect that in order to predict little parts of it, we need not solve innumerable differential equations, but can use dice with fair success.”

IfsWorldNeedsLittlesMadeUseOrderBornPerfectFairsSolveIntellectImperfectMechanismEquationsQuantum MechanicsDiceQuantum TheoryConcededDifferential EquationsLinear Equations
Book:Physics in My Generation
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“How did Biot arrive at the partial differential equation? [the heat conduction equation] . . . Perhaps Laplace gave Biot the equation and left him to sink or swim for a few years in trying to derive it. That would have been merely an instance of the way great mathematicians since the very beginnings of mathematical research have effortlessly maintained their superiority over ordinary mortals.”

WayTryingYearsHas BeensScienceLeftResearchOrdinaryInstanceMortalsMathematicalHeatSwimMathematicianSuperiorityEquationsSink Or SwimDifferential Equations
Author:Clifford Truesdell
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“In the broad light of day mathematicians check their equations and their proofs, leaving no stone unturned in their search for rigour. But, at night, under the full moon, they dream, they float among the stars and wonder at the miracle of the heavens. They are inspired. Without dreams there is no art, no mathematics, no life.”

LifeInspirationalArtDreamLightNightHeavenStarsWonderWonderfulMoonStonesMiracleMathematicsInspiredLeavingProofChecksMathematicalBroadsMathematicianFloatingEquationsFloatsFull MoonRigourDifferential EquationsQuadratic Equation
Book:Michael Atiyah Collected Works: 2002-2013
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“What is the origin of the urge, the fascincation that drives physicists, mathematicians, and presumably other scientists as well? Psychoanalysis suggests that it is sexual curiosity. You start by asking where little babies come from, one thing leads to another, and you find yourself preparing nitroglycerine or solving differential equations. This explanation is somewhat irritating, and therefore probably basically correct.”

WellsLittlesScienceOne ThingBabyScientistAskingCuriosityExplanationUrgesFinding YourselfMathematicianPreparingEquationsPhysicistPsychoanalysisIrritatingDifferential Equations
Book:Chance and Chaos
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