第4章
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  Itpervadesallthecultivatedtheologyofthepresentday。Sothatwhile

  otherelementsofreligiouscreedsonebyonedropaway,thisremainsandgrowsevermoremanifest,andthusisshowntobetheessentialelement。Here,then,isatruthinwhichreligionsingeneralagreewithoneanother,

  andwithaphilosophyantagonistictotheirspecialdogmas。IfReligionand

  Sciencearetobereconciled,thebasisofreconciliationmustbethisdeepest,

  widest,andmostcertainofallfacts—thatthePowerwhichtheUniversemanifests

  tousisinscrutable。

  Chapter3UltimateScientificIdeas§15。WhatareSpaceandTime?Twohypothesesarecurrentrespecting

  them:theonethattheyareobjective,theotherthattheyaresubjective。Letusseewhatbecomesofthesehypothesesunderanalysis。TosaythatSpaceandTimeexistobjectively,istosaythattheyare

  entities。Theassertionthattheyarenon—entitiesisself—destructive:non—entities

  arenon—existences;andtoallegethatnon—existencesexistobjectivelyis

  acontradictioninterms。Moreover,todenythatSpaceandTimearethings,

  andsobyimplicationtocallthemnothings,involvestheabsurditythat

  therearetwokindsofnothing。Neithercantheyberegardedasattributes

  ofsomeentity。Notonlyisitimpossibletoconceiveanyentityofwhich

  theyareattributes,butwecannotthinkofthemasdisappearing,evenif

  everythingelsedisappeared;whereasattributesnecessarilydisappearalong

  withtheentitiestheybelongto。ThusasSpaceandTimecanbeneithernon—entities

  northeattributesofentities,wearecompelledtoconsiderthemasentities。

  Butwhile,onthehypothesisoftheirobjectivity,SpaceandTimemustbe

  classedasthings,wefindthattorepresenttheminthoughtasthingsis

  impossible。Tobeconceivedatall,athingmustbeconceivedashavingattributes。

  Wecandistinguishsomethingfromnothing,onlybythepowerwhichthesomething

  hastoactonourconsciousness。Theeffectsitmediatelyorimmediately

  producesonourconsciousnessweattributetoit,andcallitsattributes;

  andtheabsenceoftheseattributesistheabsenceofthetermsinwhich

  thesomethingisconceived,andinvolvestheabsenceofaconception。What,

  now,aretheattributesofSpace?Theonlyonewhichitispossibletothink

  ofasbelongingtoitisthatofextension,andtocredititwiththisis

  toidentifyobjectandattribute。ForextensionandSpaceareconvertible

  terms:byextension,asweascribeittosurroundingobjects,wemeanoccupancy

  ofSpace;andthustosaythatSpaceisextended,istosaythatSpaceoccupies

  Space。HowwearesimilarlyunabletoassignanyattributetoTime,scarcely

  needspointingout。NorareTimeandSpaceunthinkableasentitiesonlyfrom

  theabsenceofattributes。Thereisanotherpeculiarity,familiartomost

  people,whichequallyexcludesthemfromthecategory。Allentitiesactually

  knownassuch,arelimited;andevenifwesupposeourselveseithertoknow

  ortobeabletoconceivesomeunlimitedentity,wenecessarilyinsoclassing

  itseparateitfromtheclassoflimitedentities。ButofSpaceandTime

  wecannotasserteitherlimitationortheabsenceoflimitation。Wefind

  ourselvesunabletoformanymentalimageofunboundedSpace;andyetare

  unabletoimagineboundsbeyondwhichthereisnoSpace。Similarlyatthe

  otherextreme:itisimpossibletothinkofalimittothedivisibilityof

  Space;yetequallyimpossibletothinkofitsinfinitedivisibility。And,

  withoutstatingthem,itwillbeseenthatwelabourunderlikeimpotences

  inrespecttoTime。ThuswecannotconceiveSpaceandTimeasentities,and

  areequallydisabledfromconceivingthemaseithertheattributesofentities

  orasnon—entities。Wearecompelledtothinkofthemasexisting,andyet

  cannotbringthemwithinthoseconditionsunderwhichexistencesarerepresentedinthought。ShallwethentakerefugeintheKantiandoctrine?ShallwesaythatSpace

  andTimeareformsoftheintellect,——\"apriorilawsorconditions

  oftheconsciousmind?\"Todothisistoescapefromgreatdifficulties

  byrushingintogreater。ThepropositionwithwhichKant\'sphilosophysets

  out,verballyintelligiblethoughitis,cannotbyanyeffortberendered

  intothought——cannotbeinterpretedintoanideaproperlysocalled,but

  standsmerelyforapseud—idea。Inthefirstplace,toassertthatSpace

  andTimearesubjectiveconditionsis,byimplication,toassertthatthey

  arenotobjectiverealities:iftheSpaceandTimepresenttoourmindsbelong

  totheego,thenofnecessitytheydonotbelongtothenon—ego。Nowitis

  impossibletothinkthis。TheveryfactonwhichKantbaseshishypothesis

  ——namelythatourconsciousnessofSpaceandTimecannotbesuppressed——

  testifiesasmuch;forthatconsciousnessofSpaceandTimewhichwecannot

  ridourselvesof,istheconsciousnessofthemasexistingobjectively。It

  isuselesstoreplythatsuchaninabilitymustinevitablyresultifthey

  aresubjectiveforms。Thequestionhereis——Whatdoesconsciousnessdirectly

  testify?Andthedirecttestimonyofconsciousnessis,thatTimeandSpace

  arenotwithinthemindbutwithoutthemind;andsoabsolutelyindependent

  thatwecannotconceivethemtobecomenon—existentevensupposingthemind

  tobecomenon—existent。Besidesbeingpositivelyunthinkableinwhatittacitly

  denies,thetheoryofKantisequallyunthinkableinwhatitopenlyaffirms。

  ItisnotsimplythatwecannotcombinethethoughtofSpacewiththethought

  ofourownpersonality,andcontemplatetheoneasapropertyoftheother

  ——thoughourinabilitytodothiswouldprovetheinconceivablenessofthe

  hypothesis——butitisthatthehypothesiscarriesinitselftheproofof

  itsowninconceivableness。ForifSpaceandTimeareformsofintuition,

  theycanneverbeintuited;sinceitisimpossibleforanythingtobeat

  oncetheformofintuitionandthematterofintuition。ThatSpaceandTime

  areobjectsofconsciousness,Kantemphaticallyassertsbysayingthatit

  isimpossibletosuppresstheconsciousnessofthem。Howthen,iftheyare

  objectsofconsciousness,cantheyatthesametimebeconditionsofconsciousness?

  IfSpaceandTimearetheconditionsunderwhichwethink,thenwhenwethink

  ofSpaceandTimethemselves,ourthoughtsmustbeunconditioned;andiftherecanthusbeunconditionedthoughts,whatbecomesofthetheory?Itresults,therefore,thatSpaceandTimearewhollyincomprehensible。

  Theimmediateknowledgewhichweseemtohaveofthemproves,whenexamined,

  tobetotalignorance。Whileourbeliefintheirobjectiverealityisinsurmountable,

  weareunabletogiveanyrationalaccountofit。Andtopositthealternative

  belief(possibletostatebutimpossibletorealize)ismerelytomultiplyirrationalities。§16。Wereitnotforthenecessitiesoftheargument,itwouldbe

  inexcusabletooccupythereader\'sattentionwiththethreadbare,andyet

  unended,controversyrespectingthedivisibilityofmatter。Matteriseither

  infinitelydivisibleoritisnot:nothirdpossibilitycanbenamed。Which

  ofthealternativesshallweaccept?IfwesaythatMatterisinfinitely

  divisible,wecommitourselvestoasuppositionnotrealizableinthought。

  Wecanbisectandre—bisectabody,andcontinuallyrepeatingtheactuntil

  wereduceitspartstoasizenolongerphysicallydivisible,maythenmentally

  continuetheprocess。Todothis,however,isnotreallytoconceivethe

  infinitedivisibilityofmatter,buttoformasymbolicconceptionnotadmitting

  ofexpansionintoarealone,andnotadmittingofotherverification。Really

  toconceivetheinfinitedivisibilityofmatter,ismentallytofollowout

  thedivisionstoinfinity。andtodothiswouldrequireinfinitetime。On

  theotherhand,toassertthatmatterisnotinfinitelydivisible,isto

  assertthatitisreducibletopartswhichnopowercandivide;andthis

  verbalsuppositioncannomoreberepresentedinthoughtthantheother。

  Foreachofsuchultimateparts,didtheyexist,musthaveanunderandan

  uppersurface,arightandaleftside,likeanylargerfragment。Nowit

  isimpossibletoimagineitssidessonearthatnoplaneofsectioncanbe

  conceivedbetweenthem;andhowevergreatbetheassumedforceofcohesion,

  itisimpossibletoshutouttheideaofagreaterforcecapableofovercoming

  it。Sothattohumanintelligencetheonehypothesisisnomoreacceptable

  thantheother;andyettheconclusionthatoneorothermustagreewiththefact,seemstohumanintelligenceunavoidable。Again,letusaskwhethersubstancehasanythinglikethatextendedsolidity

  whichitpresentstoourconsciousness。Theportionofspaceoccupiedby

  apieceofmetal,seemstoeyesandfingersperfectlyfilled:weperceive

  ahomogeneous,resistingmass,withoutanybreachofcontinuity。Shallwe

  thensaythatMatterisactuallyassolidasitappears?Shallwesaythat

  whetheritconsistsofaninfinitelydivisibleelementorofunitswhich

  cannotbefurtherdivided,itspartsareeverywhereinactualcontact?To

  assertasmuchentanglesusininsuperabledifficulties。WereMatterthus

  absolutelysoliditwouldbe——whatitisnot——absolutelyincompressible;

  sincecompressibility,implyingthenearerapproachofconstituentparts,isnotthinkableunlessthereisunoccupiedspaceamongtheparts。ThesuppositionthatMatterisabsolutelysolidbeinguntenable,there

  presentsitselftheNewtoniansupposition,thatitconsistsofsolidatoms

  notincontactbutactingononeanotherbyattractiveandrepulsiveforces,

  varyingwiththedistances。Toassumethis,however,merelyshiftsthedifficulty。

  ForgrantingthatMatterasweperceiveit,ismadeupofdenseextended

  unitsattractingandrepelling,thequestionstillarises——Whatisthe

  constitutionoftheseunits?Wemustregardeachofthemasasmallpiece

  ofmatter。Lookedatthroughamentalmicroscope,eachbecomesamasssuch

  aswehavejustbeencontemplating。Justthesameinquiriesmaybemaderespecting

  thepartsofwhicheachatomconsists;whilejustthesamedifficultiesstand

  inthewayofeveryanswer。Evenwerethehypotheticalatomassumedtoconsist

  ofstillminuterones,thedifficultywouldreappearatthenextstep;andsoonperpetually。Boscovich\'sconceptionyetremainstous。SeeingthatMattercouldnot,

  asLeibnitzsuggested,becomposedofunextendedmonads(sincethejuxtaposition

  ofaninfinityofpointshavingnoextensioncouldnotproducethatextension

  whichmatterpossesses),andperceivingobjectionstotheviewentertained

  byNewton,Boscovichproposedanintermediatetheory。Thistheoryisthat

  theconstituentsofMatterarecentresofforce——pointswithoutdimensions

  ——whichattractandrepeloneanotherinsuchwiseastobekeptatspecific

  distancesapart。Andheargues,mathematically,thattheforcespossessed

  bysuchcentresmightsovarywiththedistancesthat,undergivenconditions,

  thecentreswouldremaininstableequilibriumwithdefiniteinterspaces;

  andyet,underotherconditions,wouldmaintainlargerorsmallerinterspaces。

  Thisspeculation,however,escapesalltheinconceivabilitiesaboveindicated

  bymergingthemintheoneinconceivabilitywithwhichitsetscut。Acentre

  offorceabsolutelywithoutextensionisunthinkable。Theideaofresistance

  cannotbeseparatedinthoughtfromtheideaofsomethingwhichoffersresistance,

  andthissomethingmustbethoughtofasoccuppyingspace。Tosupposethat

  centralforcescanresideinpointshavingpositionsonly,withnothingto

  marktheirpositions——pointsinnorespectdistinguishablefromsurroundingpointswhicharenotcentresofforce——isbeyondhumanpower。ButthoughtheconceptionofMatterasconsistingofdenseindivisible

  unitsissymbolic,andcannotbyanyeffortbethoughtout,itmayyetbe

  supposedtofindindirectverificationinthetruthsofchemistry。These,

  itisargued,necessitatethebeliefthatMatterconsistsofparticlesof

  specificweights,andthereforeofspecificsizes。Thelawofdefiniteproportions

  seemsimpossibleonanyotherconditionthantheexistenceofultimateatoms;

  andthoughthecombiningweightsoftherespectiveelementsaretermedby

  chemiststheir\"equivalents,\"forthepurposeofavoidingaquestionable

  assumption,weareunabletothinkofthecombinationofsuchdefiniteweights,

  withoutsupposingittotakeplacebetweendefinitemolecules。Thusitwould

  appearthattheNewtonianviewisatanyratepreferabletothatofBoscovich。

  AdiscipleofBoscovich,however,mayreplythathismaster\'stheoryisinvolved

  inthatofNewton,andcannotindeedbeescaped。\"Whatholdstogether

  thepartsoftheseultimateatoms?\"hemayask。\"Acohesiveforce,\"

  hisopponentmustanswer。\"Andwhat,\"hemaycontinue,\"holds

  togetherthepartsofanyfragmentsintowhich,bysufficientforce,anultimate

  atommightbebroken?\"Againtheanswermustbe——acohesiveforce。

  \"Andwhat,\"hemaystillask,\"iftheultimateatomwerereduced

  topartsassmallinproportiontoit,asitisinproportiontoatangible

  massofmatter——whatmustgiveeachparttheabilitytosustainitself?\"

  Stillthereisnoanswerbut——acohesiveforce。Carryonthementalprocess

  andwecanfindnolimituntilwearriveatthesymbolicconceptionofcentresofforcewithoutanyextension。Matterthen,initsultimatenature,isasabsolutelyincomprehensible

  asSpaceandTime。Whateversuppositionweframeleavesusnothingbutachoicebetweenoppositeabsurdities。*

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