(普特南) Putnam - 1971 - 'Philosophy of Logic'

(普特南) Putnam - 1971 - 'Philosophy of Logic'

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时间:2019-07-01

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1、PhilosophyofLogic405(3)pandnot-p.Andstillanotherprincipleisthevalidityofthis:(4)pornot-9.Letusnowlookattheseprinciplesonebyone.Inference(1)istraditionallyPhilosophyofLogicstatedtobevalidforalltmS,M,P.Butwhatisaterm?Textsofcontemporarylogicusuallysaythat(1)isvalidnomatterwhatclassesmayb

2、eassignedtothelettersS,MandPastheirextensions.Inference(1)thenbecomesjustawayofsayingthatifaclassSisasubclassofaclassM,andMisinturnasubclassofaHilaryPutnamclassP,thenSisasubclassofP.Inshort,(1)onitsmoderninterpretationjustexpressesthetransitivityoftherelation'subclassofI.Thisisafarcryf

3、romwhat1WhatLogicIstraditionallogiciansthoughttheyweredoingwhentheytalkedaboutLawsofThoughtand'terms'.HerewehaveoneoftheconfusingthingsaboutthescienceLetusstartbyaskingwhatlogicis,andthentrytoseewhythereshouldbeaoflogic:thatevenwhereaprinciplemayseemtohaveundergonenochangeinthephilosop

4、hicalproblemaboutlogic.Wemighttrytofindoutwhatlogicisbycourseofthecenturies-e.g.westillwrite:examiningvariousdefinitionsof'logic',butthiswouldbeabadidea.Thevariousextantdefinitionsof'logic'managetocombinecircularitywithinexactnessinoneAllSareMwayoranother.Insteadletuslookatlogicitself.

5、AllA4arePIfwelookatlogicitself,wefirstnoticethatlogic,likeeveryotherscience,(therefore)AllSarePundergoeschanges-sometimesrapidchanges.Indifferentcenturieslogicianshavehadverydifferentideasconcerningthescopeoftheirsubject,themethods-theinterpretationofthe'unchanging'truthhas,infact,chan

6、gedconsiderably.propertoit,etc.Todaythescopeoflogicisdefinedmuchmorebroadlythanitwhatisworse,thereisstillsomecontroversyaboutwhatthe'correct'interpreta-everwasinthepast,sothatlogicassomelogiciansconceiveit,comestoincludealltionis.ofpuremathematics.Also,themethodsusedinlogicalresearchto

7、dayarealmostPrinciple(2)isanotherexampleofa~rinciplewhosecorrectinterpretationisexclusivelymathematicalones.However,certainaspectsoflogicseemtoundergoindispute.Theinterpretationfavouredbymostlogicians(includingthelittlechange.Logicalresults,onceestablished,seemtoremainforeveraccepted

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