书目

Introduction to Mathematical Philosophy

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.

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