ChapterVI
OfUniversalPropositions:theirTruthandCertainty1。Treatingofwordsnecessarytoknowledge。Thoughtheexaminingandjudgingofideasbythemselves,theirnamesbeingquitelaidaside,bethebestandsurestwaytoclearanddistinctknowledge:
yet,throughtheprevailingcustomofusingsoundsforideas,I
thinkitisveryseldompractised。Everyonemayobservehowcommonitisfornamestobemadeuseof,insteadoftheideasthemselves,evenwhenmenthinkandreasonwithintheirownbreasts;especiallyiftheideasbeverycomplex,andmadeupofagreatcollectionofsimpleones。ThismakestheconsiderationofwordsandpropositionssonecessaryapartoftheTreatiseofKnowledge,thatitisveryhardtospeakintelligiblyoftheone,withoutexplainingtheother。
2。Generaltruthshardlytobeunderstood,butinverbalpropositions。Alltheknowledgewehave,beingonlyofparticularorgeneraltruths,itisevidentthatwhatevermaybedoneintheformerofthese,thelatter,whichisthatwhichwithreasonismostsoughtafter,canneverbewellmadeknown,andisveryseldomapprehended,butasconceivedandexpressedinwords。Itisnot,therefore,outofourway,intheexaminationofourknowledge,toinquireintothetruthandcertaintyofuniversalpropositions。
3。Certaintytwofold-oftruthandofknowledge。Butthatwemaynotbemisledinthiscasebythatwhichisthedangereverywhere,I
meanbythedoubtfulnessofterms,itisfittoobservethatcertaintyistwofold:certaintyoftruthandcertaintyofknowledge。Certaintyoftruthis,whenwordsaresoputtogetherinpropositionsasexactlytoexpresstheagreementordisagreementoftheideastheystandfor,asreallyitis。Certaintyofknowledgeistoperceivetheagreementordisagreementofideas,asexpressedinanyproposition。
Thisweusuallycallknowing,orbeingcertainofthetruthofanyproposition。
4。Nopropositioncanbecertainlyknowntobetrue,wheretherealessenceofeachspeciesmentionedisnotknown。Now,becausewecannotbecertainofthetruthofanygeneralproposition,unlessweknowthepreciseboundsandextentofthespeciesitstermsstandfor,itisnecessaryweshouldknowtheessenceofeachspecies,whichisthatwhichconstitutesandboundsit。
This,inallsimpleideasandmodes,isnothardtodo。Forinthesetherealandnominalessencebeingthesame,or,whichisallone,theabstractideawhichthegeneraltermstandsforbeingthesoleessenceandboundarythatisorcanbesupposedofthespecies,therecanbenodoubthowfarthespeciesextends,orwhatthingsarecomprehendedundereachterm;which,itisevident,areallthathaveanexactconformitywiththeideaitstandsfor,andnoother。
Butinsubstances,whereinarealessence,distinctfromthenominal,issupposedtoconstitute,determine,andboundthespecies,theextentofthegeneralwordisveryuncertain;because,notknowingthisrealessence,wecannotknowwhatis,orwhatisnotofthatspecies;and,consequently,whatmayormaynotwithcertaintybeaffirmedofit。Andthus,speakingofaman,orgold,oranyotherspeciesofnaturalsubstances,assupposedconstitutedbyapreciseandrealessencewhichnatureregularlyimpartstoeveryindividualofthatkind,wherebyitismadetobeofthatspecies,wecannotbecertainofthetruthofanyaffirmationornegationmadeofit。Formanorgold,takeninthissense,andusedforspeciesofthingsconstitutedbyrealessences,differentfromthecomplexideainthemindofthespeaker,standforweknownotwhat;andtheextentofthesespecies,withsuchboundaries,aresounknownandundetermined,thatitisimpossiblewithanycertaintytoaffirm,thatallmenarerational,orthatallgoldisyellow。Butwherethenominalessenceiskeptto,astheboundaryofeachspecies,andmenextendtheapplicationofanygeneraltermnofurtherthantotheparticularthingsinwhichthecomplexideaitstandsforistobefound,theretheyareinnodangertomistaketheboundsofeachspecies,norcanbeindoubt,onthisaccount,whetheranypropositionbetrueornot。Ihavechosentoexplainthisuncertaintyofpropositionsinthisscholasticway,andhavemadeuseofthetermsofessences,andspecies,onpurposetoshowtheabsurdityandinconveniencethereistothinkofthemasofanyothersortofrealities,thanbarelyabstractideaswithnamestothem。Tosupposethatthespeciesofthingsareanythingbutthesortingofthemundergeneralnames,accordingastheyagreetoseveralabstractideasofwhichwemakethosenamesthesigns,istoconfoundtruth,andintroduceuncertaintyintoallgeneralpropositionsthatcanbemadeaboutthem。Thoughthereforethesethingsmight,topeoplenotpossessedwithscholasticlearning,betreatedofinabetterandclearerway;yetthosewrongnotionsofessencesorspecieshavinggotrootinmostpeople’smindswhohavereceivedanytincturefromthelearningwhichhasprevailedinthispartoftheworld,aretobediscoveredandremoved,tomakewayforthatuseofwordswhichshouldconveycertaintywithit。
5。Thismoreparticularlyconcernssubstances。Thenamesofsubstances,then,whenevermadetostandforspecieswhicharesupposedtobeconstitutedbyrealessenceswhichweknownot,arenotcapabletoconveycertaintytotheunderstanding。Ofthetruthofgeneralpropositionsmadeupofsuchtermswecannotbesure。Thereasonwhereofisplain:forhowcanwebesurethatthisorthatqualityisingold,whenweknownotwhatisorisnotgold?Sinceinthiswayofspeaking,nothingisgoldbutwhatpartakesofanessence,whichwe,notknowing,cannotknowwhereitisorisnot,andsocannotbesurethatanyparcelofmatterintheworldisorisnotinthissensegold;beingincurablyignorantwhetherithasorhasnotthatwhichmakesanythingtobecalledgold;i。e。thatrealessenceofgoldwhereofwehavenoideaatall。Thisbeingasimpossibleforustoknowasitisforablindmantotellinwhatflowerthecolourofapansyisorisnottobefound,whilsthehasnoideaofthecolourofapansyatan。Orifwecouldwhichisimpossiblecertainlyknowwherearealessence,whichweknownot,is,v。g。inwhatparcelsofmattertherealessenceofgoldis,yetcouldwenotbesurethatthisorthatqualitycouldwithtruthbeaffirmedofgold;sinceitisimpossibleforustoknowthatthisorthatqualityorideahasanecessaryconnexionwitharealessenceofwhichwehavenoideaatall,whateverspeciesthatsupposedrealessencemaybeimaginedtoconstitute。
6。Thetruthoffewuniversalpropositionsconcerningsubstancesistobeknown。Ontheotherside,thenamesofsubstances,whenmadeuseofastheyshouldbe,fortheideasmenhaveintheirminds,thoughtheycarryaclearanddeterminatesignificationwiththem,willnotyetserveustomakemanyuniversalpropositionsofwhosetruthwecanbecertain。Notbecauseinthisuseofthemweareuncertainwhatthingsaresignifiedbythem,butbecausethecomplexideastheystandforaresuchcombinationsofsimpleonesascarrynotwiththemanydiscoverableconnexionorrepugnancy,butwithaveryfewotherideas。
7。Becausenecessaryco-existenceofsimpleideasinsubstancescaninfewcasesbeknown。Thecomplexideasthatournamesofthespeciesofsubstancesproperlystandfor,arecollectionsofsuchqualitiesashavebeenobservedtoco-existinanunknownsubstratum,whichwecallsubstance;butwhatotherqualitiesnecessarilyco-existwithsuchcombinations,wecannotcertainlyknow,unlesswecandiscovertheirnaturaldependence;which,intheirprimaryqualities,wecangobutaverylittlewayin;andinalltheirsecondaryqualitieswecandiscovernoconnexionatall:forthereasonsmentioned,chap。iii。Viz。1。Becauseweknownottherealconstitutionsofsubstances,onwhicheachsecondaryqualityparticularlydepends。2。Didweknowthat,itwouldserveusonlyforexperimentalnotuniversalknowledge;andreachwithcertaintynofurtherthanthatbareinstance:becauseourunderstandingscandiscovernoconceivableconnexionbetweenanysecondaryqualityandanymodificationwhatsoeverofanyoftheprimaryones。Andthereforethereareveryfewgeneralpropositionstobemadeconcerningsubstances,whichcancarrywiththemundoubtedcertainty。
8。Instanceingold。"Allgoldisfixed,"isapropositionwhosetruthwecannotbecertainof,howuniversallysoeveritbebelieved。Forif,accordingtotheuselessimaginationoftheSchools,anyonesupposesthetermgoldtostandforaspeciesofthingssetoutbynature,byarealessencebelongingtoit,itisevidentheknowsnotwhatparticularsubstancesareofthatspecies;andsocannotwithcertaintyaffirmanythinguniversallyofgold。Butifhemakesgoldstandforaspeciesdeterminedbyitsnominalessence,letthenominalessence,forexample,bethecomplexideaofabodyofacertainyellowcolour,malleable,fusible,andheavierthananyotherknown;-inthisproperuseofthewordgold,thereisnodifficultytoknowwhatisorisnotgold。Butyetnootherqualitycanwithcertaintybeuniversallyaffirmedordeniedofgold,butwhathathadiscoverableconnexionorinconsistencywiththatnominalessence。Fixedness,forexample,havingnonecessaryconnexionthatwecandiscover,withthecolour,weight,oranyothersimpleideaofourcomplexone,orwiththewholecombinationtogether;itisimpossiblethatweshouldcertainlyknowthetruthofthisproposition,thatallgoldisfixed。
9。Nodiscoverablenecessaryconnexionbetweennominalessenceofgoldandothersimpleideas。Asthereisnodiscoverableconnexionbetweenfixednessandthecolour,weight,andothersimpleideasofthatnominalessenceofgold;so,ifwemakeourcomplexideaofgold,abodyyellow,fusible,ductile,weighty,andfixed,weshallbeatthesameuncertaintyconcerningsolubilityinaquaregia,andforthesamereason。Sincewecannever,fromconsiderationoftheideasthemselves,withcertaintyaffirmordenyofabodywhosecomplexideaismadeupofyellow,veryweighty,ductile,fusible,andfixed,thatitissolubleinaquaregia:andsoonoftherestofitsqualities。Iwouldgladlymeetwithonegeneralaffirmationconcerninganyqualityofgold,thatanyonecancertainlyknowistrue。Itwill,nodoubt,bepresentlyobjected,Isnotthisanuniversalproposition,Allgoldismalleable?TowhichIanswer,Itisaverycertainproposition,ifmalleablenessbeapartofthecomplexideathewordgoldstandsfor。Butthenhereisnothingaffirmedofgold,butthatthatsoundstandsforanideainwhichmalleablenessiscontained:andsuchasortoftruthandcertaintyasthisitis,tosayacentaurisfour-footed。Butifmalleablenessmakenotapartofthespecificessencethenameofgoldstandsfor,itisplain,allgoldismalleable,isnotacertainproposition。Because,letthecomplexideaofgoldbemadeupofwhichsoeverofitsotherqualitiesyouplease,malleablenesswillnotappeartodependonthatcomplexidea,norfollowfromanysimpleonecontainedinit:theconnexionthatmalleablenesshasifithasanywiththoseotherqualitiesbeingonlybytheinterventionoftherealconstitutionofitsinsensibleparts;which,sinceweknownot,itisimpossibleweshouldperceivethatconnexion,unlesswecoulddiscoverthatwhichtiesthemtogether。
10。Asfarasanysuchco-existencecanbeknown,sofaruniversalpropositionsmaybecertain。Butthiswillgobutalittleway。Themore,indeed,ofthesecoexistingqualitiesweuniteintoonecomplexidea,underonename,themorepreciseanddeterminatewemakethesignificationofthatword;butneveryetmakeittherebymorecapableofuniversalcertainty,inrespectofotherqualitiesnotcontainedinourcomplexidea:sinceweperceivenottheirconnexionordependenceononeanother;beingignorantbothofthatrealconstitutioninwhichtheyareallfounded,andalsohowtheyflowfromit。Forthechiefpartofourknowledgeconcerningsubstancesisnot,asinotherthings,barelyoftherelationoftwoideasthatmayexistseparately;butisofthenecessaryconnexionandco-existenceofseveraldistinctideasinthesamesubject,oroftheirrepugnancysotoco-exist。Couldwebeginattheotherend,anddiscoverwhatitwaswhereinthatcolourconsisted,whatmadeabodylighterorheavier,whattextureofpartsmadeitmalleable,fusible,andfixed,andfittobedissolvedinthissortofliquor,andnotinanother;-if,Isay,wehadsuchanideaasthisofbodies,andcouldperceivewhereinallsensiblequalitiesoriginallyconsist,andhowtheyareproduced;wemightframesuchabstractideasofthemaswouldfurnishuswithmatterofmoregeneralknowledge,andenableustomakeuniversalpropositions,thatshouldcarrygeneraltruthandcertaintywiththem。Butwhilstourcomplexideasofthesortsofsubstancesaresoremotefromthatinternalrealconstitutiononwhichtheirsensiblequalitiesdepend,andaremadeupofnothingbutanimperfectcollectionofthoseapparentqualitiesoursensescandiscover,therecanbefewgeneralpropositionsconcerningsubstancesofwhoserealtruthwecanbecertainlyassured;sincetherearebutfewsimpleideasofwhoseconnexionandnecessarycoexistencewecanhavecertainandundoubtedknowledge。Iimagine,amongstallthesecondaryqualitiesofsubstances,andthepowersrelatingtothem,therecannotanytwobenamed,whosenecessaryco-existence,orrepugnancetocoexist,cancertainlybeknown;unlessinthoseofthesamesense,whichnecessarilyexcludeoneanother,asIhaveelsewhereshown。Noone,Ithink,bythecolourthatisinanybody,cancertainlyknowwhatsmell,taste,sound,ortangiblequalitiesithas,norwhatalterationsitiscapabletomakeorreceiveonorfromotherbodies。Thesamemaybesaidofthesoundortaste,&c。Ourspecificnamesofsubstancesstandingforanycollectionsofsuchideas,itisnottobewonderedthatwecanwiththemmakeveryfewgeneralpropositionsofundoubtedrealcertainty。
Butyetsofarasanycomplexideaofanysortofsubstancescontainsinitanysimpleidea,whosenecessaryexistencewithanyothermaybediscovered,sofaruniversalpropositionsmaywithcertaintybemadeconcerningit:v。g。couldanyonediscoveranecessaryconnexionbetweenmalleablenessandthecolourorweightofgold,oranyotherpartofthecomplexideasignifiedbythatname,hemightmakeacertainuniversalpropositionconcerninggoldinthisrespect;andtherealtruthofthisproposition,thatallgoldismalleable,wouldbeascertainasofthis,thethreeanglesofallright-linedtrianglesareallequaltotworightones。
11。Thequalitieswhichmakeourcomplexideasofsubstancesdependmostlyonexternal,remote,andunperceivedcauses。Hadwesuchideasofsubstancesastoknowwhatrealconstitutionsproducethosesensiblequalitieswefindinthem,andhowthosequalitiesflowedfromthence,wecould,bythespecificideasoftheirrealessencesinourownminds,morecertainlyfindouttheirproperties,anddiscoverwhatqualitiestheyhadorhadnot,thanwecannowbyoursenses:andtoknowthepropertiesofgold,itwouldbenomorenecessarythatgoldshouldexist,andthatweshouldmakeexperimentsuponit,thanitisnecessaryfortheknowingthepropertiesofatriangle,thatatriangleshouldexistinanymatter,theideainourmindswouldservefortheoneaswellastheother。Butwearesofarfrombeingadmittedintothesecretsofnature,thatwescarcesomuchaseverapproachthefirstentrancetowardsthem。Forwearewonttoconsiderthesubstanceswemeetwith,eachofthem,asanentirethingbyitself,havingallitsqualitiesinitself,andindependentofotherthings;overlooking,forthemostpart,theoperationsofthoseinvisiblefluidstheyareencompassedwith,anduponwhosemotionsandoperationsdependthegreatestpartofthosequalitieswhicharetakennoticeofinthem,andaremadebyustheinherentmarksofdistinctionwherebyweknowanddenominatethem。Putapieceofgoldanywherebyitself,separatefromthereachandinfluenceofallotherbodies,itwillimmediatelyloseallitscolourandweight,andperhapsmalleablenesstoo;which,foraughtIknow,wouldbechangedintoaperfectfriability。Water,inwhichtousfluidityisanessentialquality,lefttoitself,wouldceasetobefluid。Butifinanimatebodiesowesomuchoftheirpresentstatetootherbodieswithoutthem,thattheywouldnotbewhattheyappeartouswerethosebodiesthatenvironthemremoved;itisyetmoresoinvegetables,whicharenourished,grow,andproduceleaves,flowers,andseeds,inaconstantsuccession。Andifwelookalittlenearerintothestateofanimals,weshallfindthattheirdependence,astolife,motion,andthemostconsiderablequalitiestobeobservedinthem,issowhollyonextrinsicalcausesandqualitiesofotherbodiesthatmakenopartofthem,thattheycannotsubsistamomentwithoutthem:thoughyetthosebodiesonwhichtheydependarelittletakennoticeof,andmakenopartofthecomplexideasweframeofthoseanimals。Taketheairbutforaminutefromthegreatestpartoflivingcreatures,andtheypresentlylosesense,life,andmotion。
Thisthenecessityofbreathinghasforcedintoourknowledge。Buthowmanyotherextrinsicalandpossiblyveryremotebodiesdothespringsoftheseadmirablemachinesdependon,whicharenotvulgarlyobserved,orsomuchasthoughton;andhowmanyaretherewhichtheseverestinquirycanneverdiscover?Theinhabitantsofthisspotoftheuniverse,thoughremovedsomanymillionsofmilesfromthesun,yetdependsomuchonthedulytemperedmotionofparticlescomingfromoragitatedbyit,thatwerethisearthremovedbutasmallpartofthedistanceoutofitspresentsituation,andplacedalittlefurtherornearerthatsourceofheat,itismorethanprobablethatthegreatestpartoftheanimalsinitwouldimmediatelyperish:sincewefindthemsooftendestroyedbyanexcessordefectofthesun’swarmth,whichanaccidentalpositioninsomepartsofthisourlittleglobeexposesthemto。Thequalitiesobservedinaloadstonemustneedshavetheirsourcefarbeyondtheconfinesofthatbody;andtheravagemadeoftenonseveralsortsofanimalsbyinvisiblecauses,thecertaindeathaswearetoldofsomeofthem,bybarelypassingtheline,or,asitiscertainofother,bybeingremovedintoaneighbouringcountry;evidentlyshowthattheconcurrenceandoperationsofseveralbodies,withwhichtheyareseldomthoughttohaveanythingtodo,isabsolutelynecessarytomakethembewhattheyappeartous,andtopreservethosequalitiesbywhichweknowanddistinguishthem。Wearethenquiteoutoftheway,whenwethinkthatthingscontainwithinthemselvesthequalitiesthatappeartousinthem;andweinvainsearchforthatconstitutionwithinthebodyofaflyoranelephant,uponwhichdependthosequalitiesandpowersweobserveinthem。Forwhich,perhaps,tounderstandthemaright,weoughttolooknotonlybeyondthisourearthandatmosphere,butevenbeyondthesunorremoteststaroureyeshaveyetdiscovered。Forhowmuchthebeingandoperationofparticularsubstancesinthisourglobedependsoncausesutterlybeyondourview,isimpossibleforustodetermine。Weseeandperceivesomeofthemotionsandgrosseroperationsofthingshereaboutus;butwhencethestreamscomethatkeepallthesecuriousmachinesinmotionandrepair,howconveyedandmodified,isbeyondournoticeandapprehension:andthegreatpartsandwheels,asI
maysayso,ofthisstupendousstructureoftheuniverse,may,foraughtweknow,havesuchaconnexionanddependenceintheirinfluencesandoperationsoneuponanother,thatperhapsthingsinthisourmansionwouldputonquiteanotherface,andceasetobewhattheyare,ifsomeoneofthestarsorgreatbodiesincomprehensiblyremotefromus,shouldceasetobeormoveasitdoes。Thisiscertain:things,howeverabsoluteandentiretheyseeminthemselves,arebutretainerstootherpartsofnature,forthatwhichtheyaremosttakennoticeofbyus。Theirobservablequalities,actions,andpowersareowingtosomethingwithoutthem;andthereisnotsocompleteandperfectapartthatweknowofnature,whichdoesnotowethebeingithas,andtheexcellencesofit,toitsneighbours;andwemustnotconfineourthoughtswithinthesurfaceofanybody,butlookagreatdealfurther,tocomprehendperfectlythosequalitiesthatareinit。
12。Ournominalessencesofsubstancesfurnishfewuniversalpropositionsaboutthemthatarecertain。Ifthisbeso,itisnottobewonderedthatwehaveveryimperfectideasofsubstances,andthattherealessences,onwhichdependtheirpropertiesandoperations,areunknowntous。Wecannotdiscoversomuchasthatsize,figure,andtextureoftheirminuteandactiveparts,whichisreallyinthem;muchlessthedifferentmotionsandimpulsesmadeinanduponthembybodiesfromwithout,uponwhichdepends,andbywhichisformedthegreatestandmostremarkablepartofthosequalitiesweobserveinthem,andofwhichourcomplexideasofthemaremadeup。Thisconsiderationaloneisenoughtoputanendtoallourhopesofeverhavingtheideasoftheirrealessences;whichwhilstwewant,thenominalessenceswemakeuseofinsteadofthemwillbeabletofurnishusbutverysparinglywithanygeneralknowledge,oruniversalpropositionscapableofrealcertainty。
13。Judgmentofprobabilityconcerningsubstancesmayreachfurther:
butthatisnotknowledge。Wearenotthereforetowonder,ifcertaintybetobefoundinveryfewgeneralpropositionsmadeconcerningsubstances:ourknowledgeoftheirqualitiesandpropertiesgoesveryseldomfurtherthanoursensesreachandinformus。Possiblyinquisitiveandobservingmenmay,bystrengthofjudgment,penetratefurther,and,onprobabilitiestakenfromwaryobservation,andhintswelllaidtogether,oftenguessrightatwhatexperiencehasnotyetdiscoveredtothem。Butthisisbutguessingstill;itamountsonlytoopinion,andhasnotthatcertaintywhichisrequisitetoknowledge。Forallgeneralknowledgeliesonlyinourownthoughts,andconsistsbarelyinthecontemplationofourownabstractideas。Whereverweperceiveanyagreementordisagreementamongstthem,therewehavegeneralknowledge;andbyputtingthenamesofthoseideastogetheraccordinglyinpropositions,canwithcertaintypronouncegeneraltruths。Butbecausetheabstractideasofsubstances,forwhichtheirspecificnamesstand,whenevertheyhaveanydistinctanddeterminatesignification,haveadiscoverableconnexionorinconsistencywithbutaveryfewotherideas,thecertaintyofuniversalpropositionsconcerningsubstancesisverynarrowandscanty,inthatpartwhichisourprincipalinquiryconcerningthem;andtherearescarceanyofthenamesofsubstances,lettheideaitisappliedtobewhatitwill,ofwhichwecangenerally,andwithcertainty,pronounce,thatithasorhasnotthisorthatotherqualitybelongingtoit,andconstantlyco-existingorinconsistentwiththatidea,whereveritistobefound。
14。Whatisrequisiteforourknowledgeofsubstances。Beforewecanhaveanytolerableknowledgeofthiskind,wemustFirstknowwhatchangestheprimaryqualitiesofonebodydoregularlyproduceintheprimaryqualitiesofanother,andhow。Secondly,Wemustknowwhatprimaryqualitiesofanybodyproducecertainsensationsorideasinus。Thisisintruthnolessthantoknowalltheeffectsofmatter,underitsdiversmodificationsofbulk,figure,cohesionofparts,motionandrest。Which,Ithinkeverybodywillallow,isutterlyimpossibletobeknownbyuswithoutrevelation。Norifitwererevealedtouswhatsortoffigure,bulk,andmotionofcorpuscleswouldproduceinusthesensationofayellowcolour,andwhatsortoffigure,bulk,andtextureofpartsinthesuperficiesofanybodywerefittogivesuchcorpusclestheirduemotiontoproducethatcolour;
wouldthatbeenoughtomakeuniversalpropositionswithcertainty,concerningtheseveralsortsofthem;unlesswehadfacultiesacuteenoughtoperceivetheprecisebulk,figure,texture,andmotionofbodies,inthoseminuteparts,bywhichtheyoperateonoursenses,sothatwemightbythoseframeourabstractideasofthem。Ihavementionedhereonlycorporealsubstances,whoseoperationsseemtoliemoreleveltoourunderstandings。Forastotheoperationsofspirits,boththeirthinkingandmovingofbodies,weatfirstsightfindourselvesataloss;thoughperhaps,whenwehaveappliedourthoughtsalittlenearertotheconsiderationofbodiesandtheiroperations,andexaminedhowfarournotions,eveninthese,reachwithanyclearnessbeyondsensiblematteroffact,weshallbeboundtoconfessthat,eveninthesetoo,ourdiscoveriesamounttoverylittlebeyondperfectignoranceandincapacity。
15。Whilstourcomplexideasofsubstancescontainnotideasoftheirrealconstitutions,wecanmakebutfewgeneralcertainpropositionsconcerningthem。Thisisevident,theabstractcomplexideasofsubstances。forwhichtheirgeneralnamesstand,notcomprehendingtheirrealconstitutions,canaffordusverylittleuniversalcertainty。Becauseourideasofthemarenotmadeupofthatonwhichthosequalitiesweobserveinthem,andwouldinformourselvesabout,dodepend,orwithwhichtheyhaveanycertainconnexion:v。g。lettheideastowhichwegivethenamemanbe,asitcommonlyis,abodyoftheordinaryshape,withsense,voluntarymotion,andreasonjoinedtoit。Thisbeingtheabstractidea,andconsequentlytheessenceofourspecies,man,wecanmakebutveryfewgeneralcertainpropositionsconcerningman,standingforsuchanidea。Because,notknowingtherealconstitutiononwhichsensation,powerofmotion,andreasoning,withthatpeculiarshape,depend,andwherebytheyareunitedtogetherinthesamesubject,thereareveryfewotherqualitieswithwhichwecanperceivethemtohaveanecessaryconnexion:andthereforewecannotwithcertaintyaffirm:
Thatallmensleepbyintervals;Thatnomancanbenourishedbywoodorstones;Thatallmenwillbepoisonedbyhemlock:becausetheseideashavenoconnexionnorrepugnancywiththisournominalessenceofman,withthisabstractideathatnamestandsfor。Wemust,intheseandthelike,appealtotrialinparticularsubjects,whichcanreachbutalittleway。Wemustcontentourselveswithprobabilityintherest:butcanhavenogeneralcertainty,whilstourspecificideaofmancontainsnotthatrealconstitutionwhichistherootwhereinallhisinseparablequalitiesareunited,andfromwhencetheyflow。Whilstourideathewordmanstandsforisonlyanimperfectcollectionofsomesensiblequalitiesandpowersinhim,thereisnodiscernibleconnexionorrepugnancebetweenourspecificidea,andtheoperationofeitherthepartsofhemlockorstonesuponhisconstitution。Thereareanimalsthatsafelyeathemlock,andothersthatarenourishedbywoodandstones:butaslongaswewantideasofthoserealconstitutionsofdifferentsortsofanimalswhereontheseandthelikequalitiesandpowersdepend,wemustnothopetoreachcertaintyinuniversalpropositionsconcerningthem。Thosefewideasonlywhichhaveadiscernibleconnexionwithournominalessence,oranypartofit,canaffordussuchpropositions。Butthesearesofew,andofsolittlemoment,thatwemayjustlylookonourcertaingeneralknowledgeofsubstancesasalmostnoneatall。
16。Whereinliesthegeneralcertaintyofpropositions。Toconclude:
generalpropositions,ofwhatkindsoever,arethenonlycapableofcertainty,whenthetermsusedinthemstandforsuchideas,whoseagreementordisagreement,asthereexpressed,iscapabletobediscoveredbyus。Andwearethencertainoftheirtruthorfalsehood,whenweperceivetheideasthetermsstandfortoagreeornotagree,accordingastheyareaffirmedordeniedoneofanother。Whencewemaytakenotice,thatgeneralcertaintyisnevertobefoundbutinourideas。Wheneverwegotoseekitelsewhere,inexperimentorobservationswithoutus,ourknowledgegoesnotbeyondparticulars。Itisthecontemplationofourownabstractideasthataloneisabletoaffordusgeneralknowledge。
ChapterVII
OfMaxims1。Maximsoraxiomsareself-evidentpropositions。Thereareasortofpropositions,which,underthenameofmaximsandaxioms,havepassedforprinciplesofscience:andbecausetheyareself-evident,havebeensupposedinnate,withoutthatanybodythatIknoweverwentabouttoshowthereasonandfoundationoftheirclearnessorcogency。Itmay,however,beworthwhiletoinquireintothereasonoftheirevidence,andseewhetheritbepeculiartothemalone;andalsotoexaminehowfartheyinfluenceandgovernourotherknowledge。
2。Whereinthatself-evidenceconsists。Knowledge,ashasbeenshown,consistsintheperceptionoftheagreementordisagreementofideas。Now,wherethatagreementordisagreementisperceivedimmediatelybyitself,withouttheinterventionorhelpofanyother,thereourknowledgeisself-evident。Thiswillappeartobesotoanywhowillbutconsideranyofthosepropositionswhich,withoutanyproof,heassentstoatfirstsight:forinallofthemhewillfindthatthereasonofhisassentisfromthatagreementordisagreementwhichthemind,byanimmediatecomparingthem,findsinthoseideasansweringtheaffirmationornegationintheproposition。
3。Self-evidencenotpeculiartoreceivedaxioms。Thisbeingso,inthenextplace,letusconsiderwhetherthisself-evidencebepeculiaronlytothosepropositionswhichcommonlypassunderthenameofmaxims,andhavethedignityofaxiomsallowedthem。Andhereitisplain,thatseveralothertruths,notallowedtobeaxioms,partakeequallywiththeminthisself-evidence。Thisweshallsee,ifwegoovertheseseveralsortsofagreementordisagreementofideaswhichI
haveabovementioned,viz。identity,relation,coexistence,andrealexistence;whichwilldiscovertous,thatnotonlythosefewpropositionswhichhavehadthecreditofmaximsareself-evident,butagreatmany,evenalmostaninfinitenumberofotherpropositionsaresuch。
4。I。Astoidentityanddiversity,allpropositionsareequallyself-evident。For,First,Theimmediateperceptionoftheagreementordisagreementofidentitybeingfoundedinthemind’shavingdistinctideas,thisaffordsusasmanyself-evidentpropositionsaswehavedistinctideas。Everyonethathasanyknowledgeatall,has,asthefoundationofit,variousanddistinctideas:anditisthefirstactofthemindwithoutwhichitcanneverbecapableofanyknowledgetoknoweveryoneofitsideasbyitself,anddistinguishitfromothers。Everyonefindsinhimself,thatheknowstheideashehas;thatheknowsalso,whenanyoneisinhisunderstanding,andwhatitis;andthatwhenmorethanonearethere,heknowsthemdistinctlyandunconfusedlyonefromanother;whichalwaysbeingso,itbeingimpossiblebutthatheshouldperceivewhatheperceives,
hecanneverbeindoubtwhenanyideaisinhismind,thatitisthere,andisthatideaitis;andthattwodistinctideas,whentheyareinhismind,arethere,andarenotoneandthesameidea。Sothatallsuchaffirmationsandnegationsaremadewithoutanypossibilityofdoubt,uncertainty,orhesitation,andmustnecessarilybeassentedtoassoonasunderstood;thatis,assoonaswehaveinourmindsdeterminedideas,whichthetermsinthepropositionstandfor。And,therefore,wheneverthemindwithattentionconsidersanyproposition,soastoperceivethetwoideassignifiedbytheterms,andaffirmedordeniedoneoftheothertobethesameordifferent;
itispresentlyandinfalliblycertainofthetruthofsuchaproposition;andthisequallywhetherthesepropositionsbeintermsstandingformoregeneralideas,orsuchasarelessso:v。g。
whetherthegeneralideaofBeingbeaffirmedofitself,asinthisproposition,"whatsoeveris,is";oramoreparticularideabeaffirmedofitself,as"amanisaman";or,"whatsoeveriswhiteiswhite";orwhethertheideaofbeingingeneralbedeniedofnot-Being,whichistheonlyifImaysocallitideadifferentfromit,asinthisotherproposition,"itisimpossibleforthesamethingtobeandnottobe":oranyideaofanyparticularbeingbedeniedofanotherdifferentfromit,as"amanisnotahorse";"redisnotblue。"Thedifferenceoftheideas,assoonasthetermsareunderstood,makesthetruthofthepropositionpresentlyvisible,andthatwithanequalcertaintyandeasinessinthelessaswellasthemoregeneralpropositions;andallforthesamereason,viz。
becausethemindperceives,inanyideasthatithas,thesameideatobethesamewithitself;andtwodifferentideastobedifferent,andnotthesame;andthisitisequallycertainof,whethertheseideasbemoreorlessgeneral,abstract,andcomprehensive。Itisnot,therefore,alonetothesetwogeneralpropositions-"whatsoeveris,is";and"itisimpossibleforthesamethingtobeandnottobe"-
thatthissortofself-evidencebelongsbyanypeculiarright。Theperceptionofbeing,ornotbeing,belongsnomoretothesevagueideas,signifiedbythetermswhatsoever,andthing,thanitdoestoanyotherideas。Thesetwogeneralmaxims,amountingtonomore,inshort,butthis,thatthesameisthesame,andthesameisnotdifferent,aretruthsknowninmoreparticularinstances,aswellasinthosegeneralmaxims;andknownalsoinparticularinstances,beforethesegeneralmaximsareeverthoughton;anddrawalltheirforcefromthediscernmentofthemindemployedaboutparticularideas。Thereisnothingmorevisiblethanthatthemind,withoutthehelpofanyproof,orreflectiononeitherofthesegeneralpropositions,perceivessoclearly,andknowssocertainly,thattheideaofwhiteistheideaofwhite,andnottheideaofblue;andthattheideaofwhite,whenitisinthemind,isthere,andisnotabsent;thattheconsiderationoftheseaxiomscanaddnothingtotheevidenceorcertaintyofitsknowledge。Justsoitisaseveryonemayexperimentinhimselfinalltheideasamanhasinhismind:
heknowseachtobeitself,andnottobeanother;andtobeinhismind,andnotawaywhenitisthere,withacertaintythatcannotbegreater;and,therefore,thetruthofnogeneralpropositioncanbeknownwithagreatercertainty,noraddanythingtothis。Sothat,inrespectofidentity,ourintuitiveknowledgereachesasfarasourideas。Andwearecapableofmakingasmanyself-evidentpropositions,aswehavenamesfordistinctideas。AndIappealtoeveryone’sownmind,whetherthisproposition,"acircleisacircle,"benotasself-evidentapropositionasthatconsistingofmoregeneralterms,"whatsoeveris,is";andagain,whetherthisproposition,"blueisnotred,"benotapropositionthatthemindcannomoredoubtof,assoonasitunderstandsthewords,thanitdoesofthataxiom,"itisimpossibleforthesamethingtobeandnottobe?"
Andsoofallthelike。
5。II。Inco-existencewehavefewself-evidentpropositions。
Secondly,astoco-existence,orsuchanecessaryconnexionbetweentwoideasthat,inthesubjectwhereoneofthemissupposed,theretheothermustnecessarilybealso:ofsuchagreementordisagreementasthis,themindhasanimmediateperceptionbutinveryfewofthem。Andthereforeinthissortwehavebutverylittleintuitiveknowledge:noraretheretobefoundverymanypropositionsthatareself-evident,thoughsomethereare:v。g。theideaoffillingaplaceequaltothecontentsofitssuperficies,beingannexedtoourideaofbody,Ithinkitisaself-evidentproposition,thattwobodiescannotbeinthesameplace。
6。III。Inotherrelationswemayhavemany。Thirdly,Astotherelationsofmodes,mathematicianshaveframedmanyaxiomsconcerningthatonerelationofequality。As,"equalstakenfromequals,theremainderwillbeequal";which,withtherestofthatkind,howevertheyarereceivedformaximsbythemathematicians,andareunquestionabletruths,yet,Ithink,thatanyonewhoconsidersthemwillnotfindthattheyhaveaclearerself-evidencethanthese,-that"oneandoneareequaltotwo";that"ifyoutakefromthefivefingersofonehandtwo,andfromthefivefingersoftheotherhandtwo,theremainingnumberswillbeequal。"Theseandathousandothersuchpropositionsmaybefoundinnumbers,which,attheveryfirsthearing,forcetheassent,andcarrywiththemanequal,ifnotgreaterclearness,thanthosemathematicalaxioms。
7。IV。Concerningrealexistence,wehavenone。Fourthly,astorealexistence,sincethathasnoconnexionwithanyotherofourideas,butthatofourselves,andofaFirstBeing,wehaveinthat,concerningtherealexistenceofallotherbeings,notsomuchasdemonstrative,muchlessaself-evidentknowledge:and,therefore,concerningthosetherearenomaxims。
8。Theseaxiomsdonotmuchinfluenceourotherknowledge。Inthenextplaceletusconsider,whatinfluencethesereceivedmaximshaveupontheotherpartsofourknowledge。Therulesestablishedintheschools,thatallreasoningsareExpraeognitisetpraeconcessis,seemtolaythefoundationofallotherknowledgeinthesemaxims,andtosupposethemtobepraecognita。Whereby,Ithink,aremeantthesetwothings:first,thattheseaxiomsarethosetruthsthatarefirstknowntothemind;and,secondly,thatuponthemtheotherpartsofourknowledgedepend。
9。Becausemaximsoraxiomsarenotthetruthswefirstknew。First,Thattheyarenotthetruthsfirstknowntothemindisevidenttoexperience,aswehaveshowninanotherplace。Bk。I。chap。i。Whoperceivesnotthatachildcertainlyknowsthatastrangerisnotitsmother;thatitssucking-bottleisnottherod,longbeforeheknowsthat"itisimpossibleforthesamethingtobeandnottobe?"Andhowmanytruthsarethereaboutnumbers,whichitisobvioustoobservethatthemindisperfectlyacquaintedwith,andfullyconvincedof,beforeiteverthoughtonthesegeneralmaxims,towhichmathematicians,intheirarguings,dosometimesreferthem?
Whereofthereasonisveryplain:forthatwhichmakesthemindassenttosuchpropositions,beingnothingelsebuttheperceptionithasoftheagreementordisagreementofitsideas,accordingasitfindsthemaffirmedordeniedoneofanotherinwordsitunderstands;andeveryideabeingknowntobewhatitis,andeverytwodistinctideasbeingknownnottobethesame;itmustnecessarilyfollow,thatsuchself-evidenttruthsmustbefirstknownwhichconsistofideasthatarefirstinthemind。Andtheideasfirstinthemind,itisevident,arethoseofparticularthings,fromwhence,byslowdegrees,theunderstandingproceedstosomefewgeneralones;whichbeingtakenfromtheordinaryandfamiliarobjectsofsense,aresettledinthemind,withgeneralnamestothem。Thusparticularideasarefirstreceivedanddistinguished,andsoknowledgegotaboutthem;andnexttothem,thelessgeneralorspecific,whicharenexttoparticular。Forabstractideasarenotsoobviousoreasytochildren,ortheyetunexercisedmind,asparticularones。Iftheyseemsotogrownmen,itisonlybecausebyconstantandfamiliarusetheyaremadeso。For,whenwenicelyreflectuponthem,weshallfindthatgeneralideasarefictionsandcontrivancesofthemind,thatcarrydifficultywiththem,anddonotsoeasilyofferthemselvesasweareapttoimagine。Forexample,doesitnotrequiresomepainsandskilltoformthegeneralideaofatriangle,whichisyetnoneofthemostabstract,comprehensive,anddifficult,foritmustbeneitherobliquenorrectangle,neitherequilateral,equicrural,norscalenon;butallandnoneoftheseatonce。Ineffect,itissomethingimperfect,thatcannotexist;anideawhereinsomepartsofseveraldifferentandinconsistentideasareputtogether。Itistrue,themind,inthisimperfectstate,hasneedofsuchideas,andmakesallthehastetothemitcan,fortheconveniencyofcommunicationandenlargementofknowledge;tobothwhichitisnaturallyverymuchinclined。Butyetonehasreasontosuspectsuchideasaremarksofourimperfection;atleast,thisisenoughtoshowthatthemostabstractandgeneralideasarenotthosethatthemindisfirstandmosteasilyacquaintedwith,norsuchasitsearliestknowledgeisconversantabout。
10。Becauseonperceptionofthemtheotherpartsofourknowledgedonotdepend。Secondly,fromwhathasbeensaiditplainlyfollows,thatthesemagnifiedmaximsarenottheprinciplesandfoundationsofallourotherknowledge。Foriftherebeagreatmanyothertruths,whichhaveasmuchself-evidenceasthey,andagreatmanythatweknowbeforethem,itisimpossibletheyshouldbetheprinciplesfromwhichwededuceallothertruths。Isitimpossibletoknowthatoneandtwoareequaltothree,butbyvirtueofthis,orsomesuchaxiom,viz。"thewholeisequaltoallitspartstakentogether?"Manyaoneknowsthatoneandtwoareequaltothree,withouthavingheard,orthoughton,thatoranyotheraxiombywhichitmightbeproved;
andknowsitascertainlyasanyothermanknows,that"thewholeisequaltoallitsparts,"oranyothermaxim;andallfromthesamereasonofself-evidence:theequalityofthoseideasbeingasvisibleandcertaintohimwithoutthatoranyotheraxiomaswithit,itneedingnoprooftomakeitperceived。Noraftertheknowledge,thatthewholeisequaltoallitsparts,doesheknowthatoneandtwoareequaltothree,betterormorecertainlythanhedidbefore。
Foriftherebeanyoddsinthoseideas,thewholeandpartsaremoreobscure,oratleastmoredifficulttobesettledinthemindthanthoseofone,two,andthree。Andindeed,Ithink,Imayaskthesemen,whowillneedshaveallknowledge,besidesthosegeneralprinciplesthemselves,todependongeneral,innate,andself-evidentprinciples。Whatprincipleisrequisitetoprovethatoneandonearetwo,thattwoandtwoarefour,thatthreetimestwoaresix?Whichbeingknownwithoutanyproof,doevince,Thateitherallknowledgedoesnotdependoncertainpraecognitaorgeneralmaxims,calledprinciples;orelsethattheseareprinciples:andifthesearetobecountedprinciples,agreatpartofnumerationwillbeso。Towhich,ifweaddalltheself-evidentpropositionswhichmaybemadeaboutallourdistinctideas,principleswillbealmostinfinite,atleastinnumerable,whichmenarrivetotheknowledgeof,atdifferentages;andagreatmanyoftheseinnateprinciplestheynevercometoknowalltheirlives。Butwhethertheycomeinviewofthemindearlierorlater,thisistrueofthem,thattheyareallknownbytheirnativeevidence;arewhollyindependent;receivenolight,norarecapableofanyproofonefromanother;muchlessthemoreparticularfromthemoregeneral,orthemoresimplefromthemorecompounded;themoresimpleandlessabstractbeingthemostfamiliar,andtheeasierandearlierapprehended。Butwhicheverbetheclearestideas,theevidenceandcertaintyofallsuchpropositionsisinthis,Thatamanseesthesameideatobethesameidea,andinfalliblyperceivestwodifferentideastobedifferentideas。Forwhenamanhasinhisunderstandingtheideasofoneandoftwo,theideaofyellow,andtheideaofblue,hecannotbutcertainlyknowthattheideaofoneistheideaofone,andnottheideaoftwo;
andthattheideaofyellowistheideaofyellow,andnottheideaofblue。Foramancannotconfoundtheideasinhismind,whichhehasdistinct:thatwouldbetohavethemconfusedanddistinctatthesametime,whichisacontradiction:andtohavenonedistinct,istohavenouseofourfaculties,tohavenoknowledgeatall。And,therefore,whatideasoeverisaffirmedofitself,orwhatsoevertwoentiredistinctideasaredeniedoneofanother,themindcannotbutassenttosuchapropositionasinfalliblytrue,assoonasitunderstandstheterms,withouthesitationorneedofproof,orregardingthosemadeinmoregeneraltermsandcalledmaxims。
11。Whatusethesegeneralmaximsoraxiomshave。Whatshallwethensay?Arethesegeneralmaximsofnouse?Bynomeans;thoughperhapstheiruseisnotthatwhichitiscommonlytakentobe。But,sincedoubtingintheleastofwhathathbeenbysomemenascribedtothesemaximsmaybeapttobecriedoutagainst,asoverturningthefoundationsofallthesciences;itmaybeworthwhiletoconsiderthemwithrespecttootherpartsofourknowledge,andexaminemoreparticularlytowhatpurposestheyserve,andtowhatnot。
1Itisevidentfromwhathasbeenalreadysaid,thattheyareofnousetoproveorconfirmlessgeneralself-evidentpropositions。
2Itisasplainthattheyarenot,norhavebeenthefoundationswhereonanysciencehathbeenbuilt。Thereis,Iknow,agreatdealoftalk,propagatedfromscholasticmen,ofsciencesandthemaximsonwhichtheyarebuilt:butithasbeenmyill-lucknevertomeetwithanysuchsciences;muchlessanyonebuiltuponthesetwomaxims,whatis,is;anditisimpossibleforthesamethingtobeandnottobe。AndIwouldbegladtobeshownwhereanysuchscience,erectedupontheseoranyothergeneralaxiomsistobefound:andshouldbeobligedtoanyonewhowouldlaybeforemetheframeandsystemofanysciencesobuiltontheseoranysuchlikemaxims,thatcouldnotbeshowntostandasfirmwithoutanyconsiderationofthem。Iask,Whetherthesegeneralmaximshavenotthesameuseinthestudyofdivinity,andintheologicalquestions,thattheyhaveinothersciences?Theyservehere,too,tosilencewranglers,andputanendtodispute。ButIthinkthatnobodywillthereforesay,thattheChristianreligionisbuiltuponthesemaxims,orthattheknowledgewehaveofitisderivedfromtheseprincipals。Itisfromrevelationwehavereceivedit,andwithoutrevelationthesemaximshadneverbeenabletohelpustoit。Whenwefindoutanideabywhoseinterventionwediscovertheconnexionoftwoothers,thisisarevelationfromGodtousbythevoiceofreason:forwethencometoknowatruththatwedidnotknowbefore。WhenGoddeclaresanytruthtous,thisisarevelationtousbythevoiceofhisSpirit,andweareadvancedinourknowledge。
Butinneitherofthesedowereceiveourlightorknowledgefrommaxims。Butintheone,thethingsthemselvesaffordit:andweseethetruthinthembyperceivingtheiragreementordisagreement。Intheother,Godhimselfaffordsitimmediatelytous:andweseethetruthofwhathesaysinhisunerringveracity。
3Theyarenotofusetohelpmenforwardintheadvancementofsciences,ornewdiscoveriesofyetunknowntruths。Mr。Newton,inhisneverenoughtobeadmiredbook,hasdemonstratedseveralpropositions,whicharesomanynewtruths,beforeunknowntotheworld,andarefurtheradvancesinmathematicalknowledge:but,forthediscoveryofthese,itwasnotthegeneralmaxims,"whatis,is;"or,"thewholeisbiggerthanapart,"orthelike,thathelpedhim。Thesewerenotthecluesthatledhimintothediscoveryofthetruthandcertaintyofthosepropositions。Norwasitbythemthathegottheknowledgeofthosedemonstrations,butbyfindingoutintermediateideasthatshowedtheagreementordisagreementoftheideas,asexpressedinthepropositionshedemonstrated。Thisisthegreatestexerciseandimprovementofhumanunderstandingintheenlargingofknowledge,andadvancingthesciences;whereintheyarefarenoughfromreceivinganyhelpfromthecontemplationoftheseorthelikemagnifiedmaxims。Wouldthosewhohavethistraditionaladmirationofthesepropositions,thattheythinknostepcanbemadeinknowledgewithoutthesupportofanaxiom,nostonelaidinthebuildingofthescienceswithoutageneralmaxim,butdistinguishbetweenthemethodofacquiringknowledge,andofcommunicatingit;betweenthemethodofraisinganyscience,andthatofteachingittoothers,asfarasitisadvanced-theywouldseethatthosegeneralmaximswerenotthefoundationsonwhichthefirstdiscoverersraisedtheiradmirablestructures,notthekeysthatunlockedandopenedthosesecretsofknowledge。Thoughafterwards,whenschoolswereerected,andscienceshadtheirprofessorstoteachwhatothershadfoundout,theyoftenmadeuseofmaxims,i。e。
laiddowncertainpropositionswhichwereself-evident,ortobereceivedfortrue;whichbeingsettledinthemindsoftheirscholarsasunquestionableveritiestheyonoccasionmadeuseof,toconvincethemoftruthsinparticularinstances,thatwerenotsofamiliartotheirmindsasthosegeneralaxiomswhichhadbeforebeeninculcatedtothem,andcarefullysettledintheirminds。
Thoughtheseparticularinstances,whenwellreflectedon,arenolessself-evidenttotheunderstandingthanthegeneralmaximsbroughttoconfirmthem:anditwasinthoseparticularinstancesthatthefirstdiscovererfoundthetruth,withoutthehelpofthegeneralmaxims:andsomayanyoneelsedo,whowithattentionconsidersthem。
Maximsofuseintheexpositionofwhathasbeendiscovered,andinsilencingobstinatewranglers。Tocome,therefore,totheusethatismadeofmaxims。
1Theyareofuse,ashasbeenobserved,intheordinarymethodsofteachingsciencesasfarastheyareadvanced:butoflittleornoneinadvancingthemfurther。
2Theyareofuseindisputes,forthesilencingofobstinatewranglers,andbringingthoseconteststosomeconclusion。Whetheraneedofthemtothatendcamenotinthemannerfollowing,Icraveleavetoinquire。TheSchoolshavingmadedisputationthetouchstoneofmen’sabilities,andthecriterionofknowledge,adjudgedvictorytohimthatkeptthefield:andhethathadthelastwordwasconcludedtohavethebetteroftheargument,ifnotofthecause。Butbecausebythismeanstherewasliketobenodecisionbetweenskilfulcombatants,whilstoneneverfailedofamediusterminustoproveanyproposition;andtheothercouldasconstantly,withoutorwithadistinction,denythemajororminor;toprevent,asmuchascouldbe,runningoutofdisputesintoanendlesstrainofsyllogisms,certaingeneralpropositions-mostofthem,indeed,self-evident-wereintroducedintotheSchools:whichbeingsuchasallmenallowedandagreedin,werelookedonasgeneralmeasuresoftruth,andservedinsteadofprincipleswherethedisputantshadnotlaindownanyotherbetweenthembeyondwhichtherewasnogoing,andwhichmustnotberecededfrombyeitherside。Andthusthesemaxims,gettingthenameofprinciples,beyondwhichmenindisputecouldnotretreat,werebymistaketakentobetheoriginalsandsourcesfromwhenceallknowledgebegan,andthefoundationswhereonthescienceswerebuilt。Becausewhenintheirdisputestheycametoanyofthese,theystoppedthere,andwentnofurther;thematterwasdetermined。
Buthowmuchthisisamistake,hathbeenalreadyshown。
Howmaximscametobesomuchinvogue。ThismethodoftheSchools,whichhavebeenthoughtthefountainsofknowledge,introduced,asIsuppose,thelikeuseofthesemaximsintoagreatpartofconversationoutoftheSchools,tostopthemouthsofcavillers,whomanyoneisexcusedfromarguinganylongerwith,whentheydenythesegeneralself-evidentprinciplesreceivedbyallreasonablemenwhohaveoncethoughtofthem:butyettheirusehereinisbuttoputanendtowrangling。Theyintruth,whenurgedinsuchcases,teachnothing:thatisalreadydonebytheintermediateideasmadeuseofinthedebate,whoseconnexionmaybeseenwithoutthehelpofthosemaxims,andsothetruthknownbeforethemaximisproduced,andtheargumentbroughttoafirstprinciple。Menwouldgiveoffawrongargumentbeforeitcametothat,ifintheirdisputestheyproposedtothemselvesthefindingandembracingoftruth,andnotacontestforvictory。Andthusmaximshavetheirusetoputastoptotheirperverseness,whoseingenuityshouldhaveyieldedsooner。ButthemethodoftheSchoolshavingallowedandencouragedmentoopposeandresistevidenttruthtilltheyarebaffled,i。e。
tilltheyarereducedtocontradictthemselves,orsomeestablishedprinciples:itisnowonderthattheyshouldnotincivilconversationbeashamedofthatwhichintheSchoolsiscountedavirtueandaglory,viz。obstinatelytomaintainthatsideofthequestiontheyhavechosen,whethertrueorfalse,tothelastextremity;evenafterconviction。Astrangewaytoattaintruthandknowledge:andthatwhichIthinktherationalpartofmankind,notcorruptedbyeducation,couldscarcebelieveshouldeverbeadmittedamongsttheloversoftruth,andstudentsofreligionornature,orintroducedintotheseminariesofthosewhoaretopropagatethetruthsofreligionorphilosophyamongsttheignorantandunconvinced。Howmuchsuchawayoflearningisliketoturnyoungmen’smindsfromthesinceresearchandloveoftruth;nay,andtomakethemdoubtwhetherthereisanysuchthing,or,atleast,worththeadheringto,Ishallnotnowinquire。ThisIthink,that,batingthoseplaces,whichbroughtthePeripatetickPhilosophyintotheirschools,whereitcontinuedmanyages,withoutteachingtheworldanythingbuttheartofwrangling,thesemaximswerenowherethoughtthefoundationsonwhichthescienceswerebuilt,northegreathelpstotheadvancementofknowledge。
Ofgreatusetostopwranglersindisputes,butoflittleusetothediscoveryoftruths。Astothesegeneralmaxims,therefore,theyare,asIhavesaid,ofgreatuseindisputes,tostopthemouthsofwranglers;butnotofmuchusetothediscoveryofunknowntruths,ortohelpthemindforwardsinitssearchafterknowledge。Forwhoeverbegantobuildhisknowledgeonthegeneralproposition,whatis,is;or,itisimpossibleforthesamethingtobeandnottobe:andfromeitherofthese,asfromaprincipleofscience,deducedasystemofusefulknowledge?Wrongopinionsofteninvolvingcontradictions,oneofthesemaxims,asatouchstone,mayservewelltoshowwhithertheylead。Butyet,howeverfittolayopentheabsurdityormistakeofaman’sreasoningoropinion,theyareofverylittleuseforenlighteningtheunderstanding:anditwillnotbefoundthatthemindreceivesmuchhelpfromtheminitsprogressinknowledge;whichwouldbeneitherless,norlesscertain,werethesetwogeneralpropositionsneverthoughton。Itistrue,asIhavesaid,theysometimesserveinargumentationtostopawrangler’smouth,byshowingtheabsurdityofwhathesaith,andbyexposinghimtotheshameofcontradictingwhatalltheworldknows,andhehimselfcannotbutowntobetrue。Butitisonethingtoshowamanthatheisinanerror,andanothertoputhiminpossessionoftruth;andIwouldfainknowwhattruthsthesetwopropositionsareabletoteach,andbytheirinfluencemakeusknow,whichwedidnotknowbefore,orcouldnotknowwithoutthem。Letusreasonfromthemaswellaswecan,theyareonlyaboutidenticalpredications,andinfluence,ifanyatall,nonebutsuch。Eachparticularpropositionconcerningidentityordiversityisasclearlyandcertainlyknowninitself,ifattendedto,aseitherofthesegeneralones:onlythesegeneralones,asservinginallcases,arethereforemoreinculcatedandinsistedon。Astootherlessgeneralmaxims,manyofthemarenomorethanbareverbalpropositions,andteachusnothingbuttherespectandimportofnamesonetoanother。"Thewholeisequaltoallitsparts":whatrealtruth,Ibeseechyou,doesitteachus?Whatmoreiscontainedinthatmaxim,thanwhatthesignificationofthewordtotum,orthewhole,doesofitselfimport?Andhethatknowsthatthewordwholestandsforwhatismadeupofallitsparts,knowsverylittlelessthanthatthewholeisequaltoallitsparts。And,uponthesameground,I
thinkthatthisproposition,"Ahillishigherthanavalley,"andseveralthelike,mayalsopassformaxims。Butyetmastersofmathematics,whentheywould,asteachersofwhattheyknow,initiateothersinthatscience,donotwithoutreasonplacethisandsomeothersuchmaximsattheentranceoftheirsystems;thattheirscholars,havinginthebeginningperfectlyacquaintedtheirthoughtswiththesepropositions,madeinsuchgeneralterms,maybeusedtomakesuchreflections,andhavethesemoregeneralpropositions,asformedrulesandsayings,readytoapplytoallparticularcases。Notthatiftheybeequallyweighed,theyaremoreclearandevidentthantheparticularinstancestheyarebroughttoconfirm;butthat,beingmorefamiliartothemind,theverynamingthemisenoughtosatisfytheunderstanding。Butthis,Isay,ismorefromourcustomofusingthem,andtheestablishmenttheyhavegotinourmindsbyouroftenthinkingofthem,thanfromthedifferentevidenceofthethings。Butbeforecustomhassettledmethodsofthinkingandreasoninginourminds,Iamapttoimagineitisquiteotherwise;andthatthechild,whenapartofhisappleistakenaway,knowsitbetterinthatparticularinstance,thanbythisgeneralproposition,"Thewholeisequaltoallitsparts";andthat,ifoneofthesehaveneedtobeconfirmedtohimbytheother,thegeneralhasmoreneedtobeletintohismindbytheparticular,thantheparticularbythegeneral。Forinparticularsourknowledgebegins,andsospreadsitself,bydegrees,togenerals。Thoughafterwardsthemindtakesthequitecontrarycourse,andhavingdrawnitsknowledgeintoasgeneralpropositionsasitcan,makesthosefamiliartoitsthoughts,andaccustomsitselftohaverecoursetothem,astothestandardsoftruthandfalsehood。Bywhichfamiliaruseofthem,asrulestomeasurethetruthofotherpropositions,itcomesintimetobethought,thatmoreparticularpropositionshavetheirtruthandevidencefromtheirconformitytothesemoregeneralones,which,indiscourseandargumentation,aresofrequentlyurged,andconstantlyadmitted。AndthisIthinktobethereasonwhy,amongstsomanyself-evidentpropositions,themostgeneralonlyhavehadthetitleofmaxims。
12。Maxims,ifcarehenottakenintheuseofwords,mayprovecontradictions。Onethingfurther,Ithink,itmaynotbeamisstoobserveconcerningthesegeneralmaxims,Thattheyaresofarfromimprovingorestablishingourmindsintrueknowledge,thatifournotionsbewrong,loose,orunsteady,andweresignupourthoughtstothesoundofwords,ratherthanfixthemonsettled,determinedideasofthings;Isaythesegeneralmaximswillservetoconfirmusinmistakes;andinsuchawayofuseofwords,whichismostcommon,willservetoprovecontradictions:v。g。hethatwithDescartesshallframeinhismindanideaofwhathecallsbodytobenothingbutextension,mayeasilydemonstratethatthereisnovacuum,i。e。nospacevoidofbody,bythismaxim,Whatis,is。Fortheideatowhichheannexesthenamebody,beingbareextension,hisknowledgethatspacecannotbewithoutbody,iscertain。Forheknowshisownideaofextensionclearlyanddistinctly,andknowsthatitiswhatitis,andnotanotheridea,thoughitbecalledbythesethreenames,-extension,body,space。Whichthreewords,standingforoneandthesameidea,may,nodoubt,withthesameevidenceandcertaintybeaffirmedoneofanother,aseachofitself:anditisascertain,that,whilstIusethemalltostandforoneandthesameidea,thispredicationisastrueandidenticalinitssignification,that"spaceisbody,"asthispredicationistrueandidentical,that"bodyisbody,"bothinsignificationandsound。
13。Instanceinvacuum。Butifanothershouldcomeandmaketohimselfanotheridea,differentfromDescartes’s,ofthething,whichyetwithDescarteshecallsbythesamenamebody,andmakehisidea,whichheexpressesbythewordbody,tobeofathingthathathbothextensionandsoliditytogether;hewillaseasilydemonstrate,thattheremaybeavacuumorspacewithoutabody,asDescartesdemonstratedthecontrary。Becausetheideatowhichhegivesthenamespacebeingbarelythesimpleoneofextension,andtheideatowhichhegivesthenamebodybeingthecomplexideaofextensionandresistibilityorsolidity,togetherinthesamesubject,thesetwoideasarenotexactlyoneandthesame,butintheunderstandingasdistinctastheideasofoneandtwo,whiteandblack,orasofcorporeityandhumanity,ifImayusethosebarbarousterms:andthereforethepredicationoftheminourminds,orinwordsstandingforthem,isnotidentical,butthenegationofthemoneofanother;viz。thisproposition:"Extensionorspaceisnotbody,"isastrueandevidentlycertainasthismaxim,Itisimpossibleforthesamethingtobeandnottobe,canmakeanyproposition。
14。Buttheyprovenottheexistenceofthingswithoutus。Butyet,thoughboththesepropositionsasyouseemaybeequallydemonstrated,viz。thattheremaybeavacuum,andthattherecannotbeavacuum,bythesetwocertainprinciples,viz。whatis,is,andthesamethingcannotbeandnotbe:yetneitheroftheseprincipleswillservetoprovetous,thatany,orwhatbodiesdoexist:forthatwearelefttooursensestodiscovertousasfarastheycan。
Thoseuniversalandself-evidentprinciplesbeingonlyourconstant,clear,anddistinctknowledgeofourownideas,moregeneralorcomprehensive,canassureusofnothingthatpasseswithoutthemind:theircertaintyisfoundedonlyupontheknowledgewehaveofeachideabyitself,andofitsdistinctionfromothers,aboutwhichwecannotbemistakenwhilsttheyareinourminds;thoughwemaybeandoftenaremistakenwhenweretainthenameswithouttheideas;
orusethemconfusedly,sometimesforoneandsometimesforanotheridea。Inwhichcasestheforceoftheseaxioms,reachingonlytothesound,andnotthesignificationofthewords,servesonlytoleadusintoconfusion,mistake,anderror。Itistoshowmenthatthesemaxims,howevercriedupforthegreatguardsoftruth,willnotsecurethemfromerrorinacarelesslooseuseoftheirwords,thatIhavemadethisremark。Inallthatisheresuggestedconcerningtheirlittleusefortheimprovementofknowledge,ordangeroususeinundeterminedideas,Ihavebeenfarenoughfromsayingorintendingtheyshouldbelaidaside;assomehavebeentooforwardtochargeme。
Iaffirmthemtobetruths,self-evidenttruths;andsocannotbelaidaside。Asfarastheirinfluencewillreach,itisinvaintoendeavour,norwillIattempt,toabridgeit。Butyet,withoutanyinjurytotruthorknowledge,Imayhavereasontothinktheiruseisnotanswerabletothegreatstresswhichseemstobelaidonthem;andImaywarnmennottomakeanilluseofthem,fortheconfirmingthemselvesinerrors。
15。Theycannotaddtoourknowledgeofsubstances,andtheirapplicationtocomplexideasisdangerous。Butletthembeofwhatusetheywillinverbalpropositions,theycannotdiscoverorprovetoustheleastknowledgeofthenatureofsubstances,astheyarefoundandexistwithoutus,anyfurtherthangroundedonexperience。
Andthoughtheconsequenceofthesetwopropositions,calledprinciples,beveryclear,andtheirusenotdangerousorhurtful,intheprobationofsuchthingswhereinthereisnoneedatallofthemforproof,butsuchasareclearbythemselveswithoutthem,viz。
whereourideasare[determined]andknownbythenamesthatstandforthem:yetwhentheseprinciples,viz。whatis,is,anditisimpossibleforthesamethingtobeandnottobe,aremadeuseofintheprobationofpropositionswhereinarewordsstandingforcomplexideas,v。g。man,horse,gold,virtue;theretheyareofinfinitedanger,andmostcommonlymakemenreceiveandretainfalsehoodformanifesttruth,anduncertaintyfordemonstration:
uponwhichfollowerror,obstinacy,andallthemischiefsthatcanhappenfromwrongreasoning。Thereasonwhereofisnot,thattheseprinciplesarelesstrueoroflessforceinprovingpropositionsmadeoftermsstandingforcomplexideas,thanwherethepropositionsareaboutsimpleideas。Butbecausemenmistakegenerally,-thinkingthatwherethesametermsarepreserved,thepropositionsareaboutthesamethings,thoughtheideastheystandforareintruthdifferent,thereforethesemaximsaremadeuseoftosupportthosewhichinsoundandappearancearecontradictorypropositions;andisclearinthedemonstrationsabovementionedaboutavacuum。Sothatwhilstmentakewordsforthings,asusuallytheydo,thesemaximsmayanddocommonlyservetoprovecontradictorypropositions;asshallyetbefurthermademanifest。
16。Instanceindemonstrationsaboutman,whichcanonlybeverbal。Forinstance:letmanbethatconcerningwhichyouwouldbythesefirstprinciplesdemonstrateanything,andweshallsee,thatsofarasdemonstrationisbytheseprinciples,itisonlyverbal,andgivesusnocertain,universal,trueproposition,orknowledge,ofanybeingexistingwithoutus。First,achildhavingframedtheideaofaman,itisprobablethathisideaisjustlikethatpicturewhichthepaintermakesofthevisibleappearancesjoinedtogether;andsuchacomplicationofideastogetherinhisunderstandingmakesupthesinglecomplexideawhichhecallsman,whereofwhiteorflesh-colourinEnglandbeingone,thechildcandemonstratetoyouthatanegroisnotaman,becausewhitecolourwasoneoftheconstantsimpleideasofthecomplexideahecallsman;andthereforehecandemonstrate,bytheprinciple,Itisimpossibleforthesamethingtobeandnottobe,thatanegroisnotaman;thefoundationofhiscertaintybeingnotthatuniversalproposition,whichperhapsheneverheardnorthoughtof,buttheclear,distinctperceptionhehathofhisownsimpleideasofblackandwhite,whichhecannotbepersuadedtotake,norcanevermistakeoneforanother,whetherheknowsthatmaximorno。Andtothischild,oranyonewhohathsuchanidea,whichhecallsman,canyouneverdemonstratethatamanhathasoul,becausehisideaofmanincludesnosuchnotionorideainit。Andtherefore,tohim,theprincipleofWhatis,is,provesnotthismatter;butitdependsuponcollectionandobservation,bywhichheistomakehiscomplexideacalledman。
17。Anotherinstance。Secondly,Anotherthathathgonefurtherinframingandcollectingtheideahecallsman,andtotheoutwardshapeaddslaughterandrationaldiscourse,maydemonstratethatinfantsandchangelingsarenomen,bythismaxim,itisimpossibleforthesamethingtoheandnottobe;andIhavediscoursedwithveryrationalmen,whohaveactuallydeniedthattheyaremen。
18。Athirdinstance。Thirdly,Perhapsanothermakesupthecomplexideawhichhecallsman,onlyoutoftheideasofbodyingeneral,andthepowersoflanguageandreason,andleavesouttheshapewholly:thismanisabletodemonstratethatamanmayhavenohands,butbequadrupes,neitherofthosebeingincludedinhisideaofman:andinwhateverbodyorshapehefoundspeechandreasonjoined,thatwasaman;because,havingaclearknowledgeofsuchacomplexidea,itiscertainthatWhatis,is。
19。Littleuseofthesemaximsinproofswherewehaveclearanddistinctideas。Sothat,ifrightlyconsidered,Ithinkwemaysay,Thatwhereourideasaredeterminedinourminds,andhaveannexedtothembyusknownandsteadynamesunderthosesettleddeterminations,thereislittleneed,ornouseatallofthesemaxims,toprovetheagreementordisagreementofanyofthem。Hethatcannotdiscernthetruthorfalsehoodofsuchpropositions,withoutthehelpoftheseandthelikemaxims,willnotbehelpedbythesemaximstodoit:sincehecannotbesupposedtoknowthetruthofthesemaximsthemselveswithoutproof,ifhecannotknowthetruthofotherswithoutproof,whichareasself-evidentasthese。Uponthisgrounditisthatintuitiveknowledgeneitherrequiresnoradmitsanyproof,onepartofitmorethananother。Hethatwillsupposeitdoes,takesawaythefoundationofallknowledgeandcertainty;andhethatneedsanyprooftomakehimcertain,andgivehisassenttothisproposition,thattwoareequaltotwo,willalsohaveneedofaprooftomakehimadmit,thatwhatis,is。Hethatneedsaprobationtoconvincehimthattwoarenotthree,thatwhiteisnotblack,thatatriangleisnotacircle,&c。,oranyothertwo[determined]
distinctideasarenotoneandthesame,willneedalsoademonstrationtoconvincehimthatItisimpossibleforthesamethingtobeandnottobe。
20。Theirusedangerous,whereourideasarenotdetermined。Andasthesemaximsareoflittleusewherewehavedeterminedideas,sotheyare,asIhaveshown,ofdangeroususewhereourideasarenotdetermined;andwhereweusewordsthatarenotannexedtodeterminedideas,butsuchasareofalooseandwanderingsignification,sometimesstandingforone,andsometimesforanotheridea:fromwhichfollowmistakeanderror,whichthesemaximsbroughtasproofstoestablishpropositions,whereinthetermsstandforundeterminedideasdobytheirauthorityconfirmandrivet。