其实这很明显是依赖于对数学和科学的定义。这个问题之所以有争议，以前是在于数学能否被证伪及数学能否被观察被操作的问题上。这个问题不是否认数学在科学中的重要性，而是对于数学和科学的属性的一个思考而已 　　贴一下wiki里数学和科学关系那一段吧，有兴趣可以了解一下 　　Mathematicsasscience 　　CarlFriedrichGauss,himselfknownasthe"princeofmathematicians",referredtomathematicsas"theQueenoftheSciences". 　　CarlFriedrichGaussreferredtomathematicsas"theQueenoftheSciences".[21]IntheoriginalLatinReginaScientiarum,aswellasinGermanKöniginderWissenschaften,thewordcorrespondingtosciencemeans(fieldof)knowledge.Indeed,thisisalsotheoriginalmeaninginEnglish,andthereisnodoubtthatmathematicsisinthissenseascience.Thespecializationrestrictingthemeaningtonaturalscienceisoflaterdate.Ifoneconsiderssciencetobestrictlyaboutthephysicalworld,thenmathematics,oratleastpuremathematics,isnotascience.AlbertEinsteinhasstatedthat"asfarasthelawsofmathematicsrefertoreality,theyarenotcertain;andasfarastheyarecertain,theydonotrefertoreality."[6] 　　Manyphilosophersbelievethatmathematicsisnotexperimentallyfalsifiable,andthusnotascienceaccordingtothedefinitionofKarlPopper.[22]However,inthe1930simportantworkinmathematicallogicshowedthatmathematicscannotbereducedtologic,andKarlPopperconcludedthat"mostmathematicaltheoriesare,likethoseofphysicsandbiology,hypothetico-deductive:puremathematicsthereforeturnsouttobemuchclosertothenaturalscienceswhosehypothesesareconjectures,thanitseemedevenrecently."[23]Otherthinkers,notablyImreLakatos,haveappliedaversionoffalsificationismtomathematicsitself. 　　Analternativeviewisthatcertainscientificfields(suchastheoreticalphysics)aremathematicswithaxiomsthatareintendedtocorrespondtoreality.Infact,thetheoreticalphysicist,J.M.Ziman,proposedthatscienceispublicknowledgeandthusincludesmathematics.[24]Inanycase,mathematicssharesmuchincommonwithmanyfieldsinthephysicalsciences,notablytheexplorationofthelogicalconsequencesofassumptions.Intuitionandexperimentationalsoplayaroleintheformulationofconjecturesinbothmathematicsandthe(other)sciences.Experimentalmathematicscontinuestogrowinimportancewithinmathematics,andcomputationandsimulationareplayinganincreasingroleinboththesciencesandmathematics,weakeningtheobjectionthatmathematicsdoesnotusethescientificmethod.Inhis2002bookANewKindofScience,StephenWolframarguesthatcomputationalmathematicsdeservestobeexploredempiricallyasascientificfieldinitsownright. 　　Theopinionsofmathematiciansonthismatterarevaried.Manymathematiciansfeelthattocalltheirareaascienceistodownplaytheimportanceofitsaestheticside,anditshistoryinthetraditionalsevenliberalarts;othersfeelthattoignoreitsconnectiontothesciencesistoturnablindeyetothefactthattheinterfacebetweenmathematicsanditsapplicationsinscienceandengineeringhasdrivenmuchdevelopmentinmathematics.Onewaythisdifferenceofviewpointplaysoutisinthephilosophicaldebateastowhethermathematicsiscreated(asinart)ordiscovered(asinscience).ItiscommontoseeuniversitiesdividedintosectionsthatincludeadivisionofScienceandMathematics,indicatingthatthefieldsareseenasbeingalliedbutthattheydonotcoinci