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Benoit Mandelbrot

Benoit Mandelbrot Quotes

Mathematician

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Famous Benoit Mandelbrot Quotes

“I claim that many patterns of Nature are so irregular and fragmented, that, compared with Euclid - a term used in this work to denote all of standard geometry - Nature exhibits not simply a higher degree but an altogether different level of complexity ... The existence of these patterns challenges us to study these forms that Euclid leaves aside as being "formless," to investigate the morphology of the "amorphous."”

DifferentFormScienceUsedTermChallengesLevelsExistenceStudyHigherDegreesStandardsClaimsPatternsComplexityGeometryExhibitsDifferent LevelsFragmentedEuclidMorphology
Author:Benoit Mandelbrot
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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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“Science would be ruined if (like sports) it were to put competition above everything else, and if it were to clarify the rules of competition by withdrawing entirely into narrowly defined specialties. The rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines.”

IfsWould BeScienceChoicesSportsDisciplineEssentialsIntellectualAccountsCompetitionIntellectDefinedWelfareScholarRuinedNomadSpecialtyWithdrawing
Author:Benoit Mandelbrot
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“The existence of these patterns [fractals] challenges us to study forms that Euclid leaves aside as being formless, to investigate the morphology of the amorphous. Mathematicians have disdained this challenge, however, and have increasingly chosen to flee from nature by devising theories unrelated to anything we can see or feel.”

FeelsFormScienceNatureChallengesExistenceStudyTheoryPatternsChosenMathematicianEuclidFractalsDevisingMorphology
Author:Benoit Mandelbrot
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“The theory of probability is the only mathematical tool available to help map the unknown and the uncontrollable. It is fortunate that this tool, while tricky, is extraordinarily powerful and convenient.”

HelpingSciencePowerfulTheoryToolsMathematicsAvailableMathematicalFortunateMapsProbabilityConvenientTrickyUncontrollable
Book:Fractals and Scaling in Finance: Discontinuity, Concentration, Risk. Selecta Volume E
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