内容简介
InthewordsofBertrandRussell,"Becauselanguageismisleading,aswellasbecauseitisdiffuseandinexactwhenappliedtologic(forwhichitwasneverintended),logicalsymbolismisabsolutelynecessarytoanyexactorthoroughtreatmentofmathematicalphilosophy."Thatassertionunderliesthisbook,aseminalworkinthefieldformorethan70years.Init,Russelloffersanontechnical,undogmaticaccountofhisphilosophicalcriticismasitrelatestoarithmeticandlogic.Ratherthananexhaustivetreatment,however,theinfluentialphilosopherandmathematicianfocusesoncertainissuesofmathematicallogicthat,tohismind,invalidatedmuchtraditionalandcontemporaryphilosophy.
Indealingwithsuchtopicsasnumber,order,relations,limitsandcontinuity,propositionalfunctions,descriptions,andclasses,Russellwritesinaclear,accessiblemanner,requiringneitheraknowledgeofmathematicsnoranaptitudeformathematicalsymbolism.Theresultisathought-provokingexcursionintothefascinatingrealmwheremathematicsandphilosophymeet—aphilosophicalclassicthatwillbewelcomedbyanythinkingpersoninterestedinthiscrucialareaofmodernthought.