First Principles

第34章

Thishowever,thoughaverballyintelligiblesupposition,isonethatcannot

berepresentedinthought;sinceunlimitedspaceisinconceivable。Butall

finiteformsofthehomogeneous——allformsofitwhichwecanknoworconceive,

mustinevitablylapseintoheterogeneity;andthelessheterogeneousmust

lapseintothemoreheterogeneous。Inthreeseveralwaysdoesthepersistence

offorcenecessitatethis。Settingexternalagenciesaside,eachunitof

ahomogeneouswholemustbedifferentlyaffectedfromanyoftherestby

theaggregateactionoftherestuponit。Theresultantforceexercisedby

theaggregateoneachunit,beinginnotwocasesalikeinbothamountand

direction,andusuallynotineither,anyincidentforce,evenifuniform

inamountanddirection,cannotproducelikeeffectsontheunits。Andas

thevariouspositionsofthepartsinrelationtoanyincidentforce,prevents

themfromreceivingitinuniformamountsanddirections,afurtherdifferenceintheeffectswroughtontheminevitablyarises。Onefurtherremarkisneeded。Theconclusionthatthechangeswithwhich

Evolutioncommences,arethusnecessitated,hastobesupplementedbythe

conclusionthatthesechangesmustcontinue。Theabsolutelyhomogeneous(supposing

ittoexist)mustloseitsequilibrium;andtherelativelyhomogeneousmust

lapseintotherelativelylesshomogeneous。Thatwhichistrueofanytotal

mass,istrueofthepartsintowhichitsegregates。Theuniformityofeach

suchpartmustasinevitablybelostinmultiformity,aswasthatofthe

originalwhole;andforlikereasons。Andthusthecontinuedchangescharacterizing

Evolution,insofarastheyareconstitutedbythelapseofthehomogeneous

intotheheterogeneous,andofthelessheterogeneousintothemoreheterogeneous,arenecessaryconsequencesofthepersistenceofforce。[AsmallchangeinthedefinitionofEvolutionindicatedinanoteat

theendofChapterXVIIofthispart,mustberecalledasinvolvingacorrelative

changeinthischapter。Here,asbefore,therequiredchange,thoughalready

implied(page367),hasnotbeensufficientlyemphasized,andlackofthe

emphasisinvitesmisinterpretation。Forreasonslikethosebeforegiven,

therequisiteexplanationscannotbemadeinthisplace。ThereaderwillfindtheminAppendixA。Repliestocertaincriticismsonthegeneraldoctrinesetforthinthis

chapterwillbefoundinAppendixC。]

Chapter20TheMultiplicationofEffects§156。Tothecauseofincreasingcomplexitysetforthinthelast

chapter,wehaveinthischaptertoaddanother。Thoughsecondaryinorder

oftime,itisscarcelysecondaryinorderofimportance。Evenintheabsence

ofthecausealreadyassigned,itwouldnecessitateachangefromthehomogeneous

totheheterogeneous;andjoinedwithit,itmakesthischangebothmore

rapidandmoreinvolved。Tocomeinsightofitwehavebuttopursueastep

furtherthatconflictbetweenforceandmatteralreadydelineated。Letusdothis。Asalreadyshown,whenthecomponentsofauniformaggregatearesubject

toauniformforce,theybeingdifferentlyconditioned,aredifferentlymodified。

Butwhilewehavecontemplatedthevariouspartsoftheaggregateasundergoing

unlikechanges,wehavenotyetcontemplatedtheunlikechangessimultaneously

producedonthevariouspartsoftheincidentforce。Thesemustbeasnumerous

astheothers。Indifferentiatingthepartsonwhichitfallsinunlikeways,

theincidentforcemustitselfbecorrespondinglydifferentiated。Instead

ofbeingasbefore,auniformforce,itmustthereafterbeamultiformforce

——agroupofdissimilarforces。Afewillustrationswillmakethistruthmanifest。Inthecase,latelycited,ofabodyshatteredbyviolentcollision,besides

thechangeofthehomogeneousmassintoaheterogeneousgroupofscattered

fragments,thereisachangeofthehomogeneousmomentumintoagroupof

momenta,heterogeneousinbothamountsanddirections。Similarlywiththe

forcesweknowaslightandheat。Afterthedispersionofthesebyaradiating

bodytowardsallpoints,theyarere—dispersedtowardsallpointsbythe

bodiesonwhichtheyfall。OftheSun\'srays,issuingfromhimoneveryside,

somefewstriketheMoon。ReflectedatallanglesfromtheMoon\'ssurface,

somefewofthesestriketheEarth。Byalikeprocessthefewwhichreach

theEarthareagaindiffused:someintospace,somefromobjecttoobject。

Andoneachoccasion,suchportionsoftheraysasaretransmittedinstead

ofreflected,undergorefractionsorotherchangeswhichequallydestroy

theiruniformity。Morethanthisistrue。Byconflictwithmatterauniform

forceisinpartchangedintoforcesdifferingintheirkinds。Whenonebody

isstruckagainstanother,thatwhichweusuallyregardastheeffect,is

achangeofpositionormotioninoneorbothbodies。Butthisisavery

incompleteviewofthematter。Besidesthevisiblemechanicalresult,sound

isproduced——avibrationinoneorbothbodiesandinthesurroundingair;

andundersomecircumstanceswecallthistheeffect。Moreover,theairhas

notsimplybeenmadetovibrate;ithashadcurrentsraisedinitbythe

transitofthebodies。Further,ifthereisnotthatgreatstructuralchange

whichwecallfracture,thereisadisarrangementoftheparticlesofthe

twobodiesaroundtheirpointofcollision;amountinginsomecasestoa

visiblecondensation。Yetmore,thiscondensationisaccompaniedbygenesis

ofheat。Insomecasesaspark——thatis,light——resultsfromtheincandescence

ofaportionstruckoff。Thusbytheoriginalmechanicalforceexpendedin

thecollision,atleastfivekindsofforceshavebeenproduced。Take,again,

thelightingofacandle。Primarily,thisisachemicalchangeconsequent

onariseoftemperature。Theprocessofcombinationhavingoncebeenset

goingbyextraneousheat,thereisacontinuedformationofcarbondioxide,

water,etc。Alongwiththisprocessofcombinationthereisaproduction

ofheat;thereisaproductionoflight;thereisanattendingcolumnof

hotgasesgenerated;therearecurrentscausedinthesurroundingair。Nor

doesthedecompositionofoneforceintomanyforcesendhere。Eachofthe

severalchangesworkedbecomestheparentoffurtherchanges。Thecarbon

dioxideformedwilleventuallycombinewithsomebase;orundertheinfluence

ofsunshinegiveupitscarbontotheleafofaplant。Thewaterwillmodify

thehygrometricstateoftheairaround;or,ifthecurrentofhotgases

containingitcomesagainstacoldbody,willbecondensed:alteringthe

temperature,andperhapsthechemicalstate,ofthesurfaceitcovers。The

heatgivenoutmeltsthesubjacenttallowandexpandswhateverelseitwarms。

Thelight,fallingonvarioussubstances,callsforthfromthemreactions

bywhichitisdecomposed,anddiverscoloursarethusproduced。Similarly

withthesesecondaryactions,whichmaybetracedoutintoever—multiplying

ramifications,untiltheybecometoominutetobeappreciated。Universally,

then,theeffectismorecomplexthanthecause。Whethertheaggregateon

whichitfallsbehomogeneousorotherwise,anincidentforceistransformed

bytheconflictintoanumberofforcesthatdifferintheiramounts,or

directions,orkinds;orinalltheserespects。Andofthisgroupofvariously—modifiedforces,eachultimatelyundergoesaliketransformation。Letusnowmarkhowtheprocessofevolutionisfurtheredbythismultiplication

ofeffects。Anincidentforcedecomposedbythereactionsofabodyinto

agroupofunlikeforces,becomesthecauseofasecondaryincreaseofmultiformity

inthebodywhichdecomposesit。Bythereactionsofthevariousparts,differently

modifiedaswehaveseentheymustbe,theincidentforceitselfmustbe

dividedintodifferentlymodifiedparts。Eachdifferentiateddivisionof

theaggregatethusbecomesacentrefromwhichadifferentiateddivision

oftheoriginalforceisagaindiffused。Andsinceunlikeforcesmustproduce

unlikeresults,eachofthesedifferentiatedforcesmustproduce,throughout

theaggregate,afurtherseriesofdifferentiations。Thissecondarycause

ofthechangefromhomogeneitytoheterogeneity,obviouslybecomesmorepotent

inproportionastheheterogeneityincreases。Whenthepartsintowhichany

evolvingwholehassegregateditself,havedivergedwidelyinnature,they

willnecessarilyreactverydiverselyonanyincidentforce——theywill

divideanincidentforceintosomanystronglycontrastedgroupsofforces。

Andeachofthembecomingthecentreofaquitedistinctsetofinfluences,

mustaddtothenumberofdistinctsecondarychangeswroughtthroughoutthe

aggregate。Yetanothercorollarymustbeadded。Thenumberofunlikeparts

ofwhichanaggregateconsists,isanimportantfactorintheprocess。Every

additionalspecializeddivisionisanadditionalcentreofspecializedforces,

andmustbeafurthersourceofcomplicationamongtheforcesatworkthroughout

themass——afurthersourceofheterogeneity。Themultiplicationofeffectsmustproceedingeometricalprogression。§157。Thescatteredpartsofanirregularnebulaincourseofbeing

drawntogetherorintegrated,cannotdisplayinadefinitemannerthesecondary

traitsofevolution:thesepresupposeanaggregatealreadyformed。Wecan

sayonlythatthehalf—independentcomponents,eachattractedbyalland

allbyeach,exhibitintheirvariousmomenta,differentintheiramounts

anddirections,amultiplicationofeffectsproducedbyasinglegravitativeforce。Butassumingthattheintegrativeprocesshasatlengthgeneratedasingle

massofnebulousmatter,thenthesimultaneouscondensationandrotation

showushowtwoeffectsoftheaggregativeforce,atfirstbutslightlydivergent,

becomeatlastwidelydifferentiated。Anincreaseofoblatenessinthisspheroid

musttakeplacethroughthejointactionofthesetwoforces,asthebulk

diminishesandtherotationgrowsmorerapid;andthiswemaysetdownas

athirdeffect。Thegenesisofheat,accompanyingaugmentationofdensity,

isaconsequenceofyetanotherorder——aconsequencebynomeanssimple;

sincethevariouspartsofthemass,beingvariouslycondensed,mustbevariously

heated。Actingthroughoutagaseousspheroid,ofwhichthepartsareunlike

intheirtemperatures,theforcesofaggregationandrotationmustworka

furtherseriesofchanges:theymustsetupcirculatingcurrents,bothgeneral

andlocal。Atalaterstagelightaswellasheatwillbegenerated。Thus

withoutdwellingonthelikelihoodofchemicalcombinationsandelectric

disturbances,itismanifestthat,supposingmattertohaveoriginallyexisted

inadiffusedstate,theonceuniformforcewhichcauseditsaggregation,

musthavebecomegraduallydividedintodifferentforces;andthateachfurther

stageofcomplicationintheresultingaggregate,musthaveinitiatedfurther

subdivisionsofthisforce——afurthermultiplicationofeffects,increasingthepreviousheterogeneity。Thissectionoftheargumentmayhoweverbeadequatelysustainedwithout

havingrecoursetoanysuchhypotheticalillustrationsastheforegoing。

TheastronomicalattributesoftheEarthwill,evenbythemselves,suffice

forourpurpose。Considerfirsttheeffectsofitsrotation。Thereisthe

oblatenessofitsform;thereisthealternationofdayandnight;there

arecertainconstantmarinecurrents;andtherearecertainconstantaerial

currents。Considernextthesecondaryseriesofconsequencesduetothedivergence

oftheEarth\'splaneofrotationfromtheplaneofitsorbit。Themanyvariations

oftheseasons,bothsimultaneousandsuccessive,whichpervadeitssurface,

arethuscaused。ExternalattractionoftheMoonandSunactingontheequatorial

protuberanceofthisrotatingspheroidwithinclinedaxis,producesthemotion

callednutation,andthatslowerandlargeronefromwhichfollowstheprecession

oftheequinoxes,withitsseveralsequences。Andthen,bythissameforce,aregeneratedthetides,aqueousandatmospheric。Perhaps,however,thesimplestwayofshowingthemultiplicationofeffects

amongphenomenaofthisorder,willbetosetdowntheinfluencesofany

memberoftheSolarSystemontherest。Aplanetdirectlyproducesinneighbouring

planetscertainappreciableperturbations,complicatingthoseotherwiseproduced

inthem;andintheremoterplanetsitdirectlyproducescertainlessvisible

perturbations。Hereisafirstseriesofeffects。Buteachoftheperturbed

planetsisitselfasourceofperturbations——eachdirectlyaffectsall

theothers。Hence,planetAhavingdrawnplanetBoutofthepositionit

wouldhaveoccupiedinA\'sabsence,theperturbationswhichBcausesare

differentfromwhattheywouldelsehavebeen;andsimilarlywithC,D,E,

etc。Herethenisasecondaryseriesofeffects;farmorenumerousthough

farsmallerintheiramounts。Astheseindirectperturbationsmusttosome

extentmodifythemovementsofeachplanet,thereresultsfromthematertiary

series;andsooninevermultiplyinganddiminishingwavesthroughouttheentiresystem。§158。IftheEarthwasformedbytheconcentrationofdiffusedmatter,

itmustatfirsthavebeenincandescent;andwhetherthenebularhypothesis

beacceptedornot,thisoriginalincandescenceoftheEarthmaynowberegarded

asinductivelyestablished——or,ifnotestablished,atleastrenderedso

probablethatitisagenerallyadmittedgeologicaldoctrine。Severalresults

ofthegradualcoolingoftheEarth——astheformationofacrust,thesolidification

ofsublimedelements,theprecipitationofwater,etc。——havebeenalready

noticed,andIagainrefertothemmerelytopointoutthattheyaresimultaneous

effectsoftheonecause,diminishingheat。Letusnow,however,observe

themultipliedchangesafterwardsarisingfromthecontinuanceofthisone

cause。TheEarth,fallingintemperature,mustcontract。Hencethesolid

crustatanytimeexistingispresentlytoolargefortheshrinkingnucleus,

and,beingunabletosupportitself,inevitablyfollowsthenucleus。But

aspheroidalenvelopecannotsinkdownintocontactwithasmallerinternal

spheroid,withoutdisruption:itwillrunintowrinklesastherindofan

appledoeswhenthebulkofitsinteriordecreasesfromevaporation。Asthe

coolingprogressesandtheenvelopethickens,theridgesconsequentonthese

contractionsmustbecomegreater,risingultimatelyintohillsandmountains;

andthelatersystemsofmountainsthusproducedmustnotonlybehigher,

aswefindthemtobe,butmustbelonger,aswealsofindthemtobe。Thus,

leavingoutofviewothermodifyingforces,weseewhatimmenseheterogeneity

ofsurfacearisesfromtheonecause,lossofheat——aheterogeneitywhich

thetelescopeshowsustobeparalleledontheMoon,whereaqueousandatmospheric

agencieshavebeenabsent。Butwehaveyettonoticeanotherkindofheterogeneity

ofsurface,simultaneouslycaused。WhiletheEarth\'scrustwasthin,the

ridgesproducedbyitscontractionsmustnotonlyhavebeensmallinheight

andlength,butthetractsbetweenthemmusthaverestedwithcomparative

smoothnessonthesubjacentliquidspheroid;andthewaterinthosearctic

andantarcticregionswhereitfirstcondensed,musthavebeenevenlydistributed。

Butasfastasthecrustgrewthickerandgainedcorrespondingstrength,

thelinesoffracturefromtimetotimecausedinit,occurredatgreater

distancesapart;theintermediatesurfacesfollowedthecontractingnucleus

withlessuniformity;andthereconsequentlyresultedlargerareasofland

andwater。Ifanyone,afterwrappinganorangeintissuepaperandobserving

bothhowsmallarethewrinklesand,howevenlytheinterveningspaceslie

onthesurfaceoftheorange,willthenwrapitinthickcartridge—paper,

andnoteboththegreaterheightoftheridgesandthelargerspacesthroughout

whichthepaperdoesnottouchtheorange,hewillseethatastheEarth\'s

solidenvelopethickened,theareasofelevationanddepressionbecamegreater。

Inplaceofislandsmoreorlesshomogeneouslyscatteredthroughoutanall—embracing

sea,theremusthavegraduallyarisenheterogeneousarrangementsofcontinent

andocean,suchaswenowknow。Thesesimultaneouschangesintheextent

andintheelevationofthelands,involvedyetanotherspeciesofheterogeneity

——thatofcoast—line。Atolerablyevensurfaceraisedoutoftheoceanwill

haveasimple,regularsea—margin;butasurfacevariedbytable—landsand

intersectedbymountain—chains,will,whenraisedoutoftheocean,have

anoutlineextremelyirregular,alikeinitsleadingfeaturesandinits

details。Thusendlessistheaccumulationofgeologicalandgeographical

resultsbroughtaboutbythisonecause——escapeoftheEarth\'sprimitiveheat。Whenwepassfromtheagencywhichgeologiststermigneous,toaqueous

andatmosphericagencies,weseealikeever—growingcomplicationofeffects。

Thedenudingactionsofairandwaterhave,fromthebeginning,beenmodifying

everyexposedsurface:everywhereworkingmanydifferentchanges。Asalready

said(§69)theoriginalsourceofthosegaseousandfluidmotionswhich

effectdenudation,isthesolarheat。Thetransformationofthisintovarious

modesofenergy,accordingtothenatureandconditionsofthematteron

whichitfalls,isthefirststageofcomplication。TheSun\'srays,striking

atallanglesaspherethatfrommomenttomomentpresentedandwithdrew

differentpartsofitssurface,andeachofthemforadifferenttimedaily

throughouttheyear,wouldproduceaconsiderablevarietyofchangeseven

werethesphereuniform。Butfallingastheydoonaspheresurroundedby

anatmospherecontainingwideareasofcloud,butwhichhereunveilsvast

tractsofsea,thereoflevelland,thereofmountains,thereofsnowand

ice,theycauseinitcountlessdifferentmovements。Currentsofairofall

sizes,directions,velocities,andtemperatures,aresetup;asarealso

marinecurrentssimilarlycontrastedintheircharacters。Inthisregion

thesurfaceisgivingoffvapour;inthat,dewisbeingprecipitated;and

inanother,rainisdescending——unlikenesseswhicharisefromthechanging

ratiobetweentheabsorptionandradiationofheatineachplace。Atone

hourarapidfallintemperatureleadstotheformationofice,withanaccompanying

expansionthroughoutthemoistbodiesfrozen;whileatanotherathawunlocks

thedislocatedfragmentsofthesebodies。Andthen,passingtoasecondstage

ofcomplication,weseethatthemanykindsofmotiondirectlyorindirectly

causedbytheSun\'srays,severallyproduceresultswhichvarywiththeconditions。

Oxidation,drought,wind,frost,rain,glaciers,rivers,waves,andother

denudingagentseffectdisintegrationsthataredeterminedintheiramounts

andqualitiesbylocalcircumstances。Actingonatractofgranite,such

agentshereworkscarcelyanappreciableeffect;therecauseexfoliations

ofthesurfaceandaresultingheapofdebrisandboulders;andelsewhere,

afterdecomposingthefeldsparintoawhiteclay,carryawaythiswiththe

accompanyingquartzandmica,anddeposittheminseparatebeds,fluviatile

ormarine。Whentheexposedlandconsistsofseveralunlikeformations,sedimentary

andigneous,changesproportionatelymoreheterogeneousarewrought。The

formationsbeingdisintegrableindifferentdegrees,therefollowsanincreased

irregularityofsurface。Theareasdrainedbyadjacentriversbeingdifferently

constituted,theseriverscarrydowntotheseaunlikecombinationsofingredients;

andsosundrynewstrataofdistinctcompositionsarise。Andhere,indeed,

wemayseeveryclearlyhowtheheterogeneityoftheeffectsincreasesin

ageometricalprogressionwiththeheterogeneityoftheobjectactedupon。

Letus,forthefullerelucidationofthistruthinrelationtotheinorganic

world,considerwhatwouldfollowfromanextensivecosmicalcatastrophe

——sayagreatsubsidencethroughoutCentralAmerica。Theimmediateresults

wouldthemselvesbesufficientlycomplex。Besidesthenumberlessdislocations

ofstrata,theejectionsofigneousmatter,thepropagationofearthquake

vibrationsmanythousandsofmilesaround,theloudexplosions,andtheescape

ofgases,therewouldbeaninrushoftheAtlanticandPacificOceans,a

subsequentrecoilofenormouswaves,whichwouldtraverseboththeseoceans

andproducemyriadsofchangesalongtheirshores,andcorrespondingatmospheric

wavescomplicatedbythecurrentssurroundingeachvolcanicvent,aswell

aselectricaldischargeswithwhicheruptionsareaccompanied。Butthese

temporaryeffectswouldbeinsignificantcomparedwiththepermanentones。

ThecomplexcurrentsoftheAtlanticandPacificwouldbealteredintheir

directionsandamounts。Thedistributionofheatachievedbythesecurrents

wouldbedifferentfromwhatitis。Thearrangementoftheisothermallines,

notonlyontheneighbouringcontinentsbuteventhroughoutEurope,would

bechanged。Thetideswouldflowdifferentlyfromwhattheydonow。There

wouldbemoreorlessmodificationofthewindsintheirperiods,strengths,

directions,qualities;andrainwouldfallscarcelyanywhereatthesame

timesandinthesamequantitiesasatpresent。Inthesemanychanges,each

includingcountlessminorones,maybeseentheimmenseheterogeneityof

theresultswroughtoutbyoneforce,whenthatforceexpendsitselfona

previouslycomplicatedarea:theimplicationbeingthatfromthebeginningthecomplicationhasadvancedatanincreasingrate。§159。Wehavenexttotracethroughoutorganicevolution,thissame

all—pervadingprinciple。Andhere,wherethetransformationofthehomogeneous

intotheheterogeneouswasfirstobserved,theproductionofmanychanges

byonecauseisleasteasytodemonstrateinadirectway。Hereditycomplicateseverything。Nevertheless,byindirectevidencewemayestablishourproposition。Bywayofpreparationobservehownumerousarethechangeswhichanymarked

stimulusworksonanadultorganism——ahumanbeingforinstance。Analarming

soundorsight,besidesimpressionsontheorgansofsenseandthenerves,

mayproduceastart,ascream,adistortionoftheface,atremblingconsequent

ongeneralmuscularrelaxation,aburstofperspiration,andperhapsanarrest

oftheheartfollowedbysyncope;andifthesystembefeeble,anillness

withitslongtrainofcomplicatedsymptommaysetin。Similarlyincases

ofdisease。Aminuteportionofthesmall—poxvirustakenintothesystem

will,inaseverecase,cause,duringthefirststage,rigors,heatofskin,

acceleratedpulse,furredtongue,lossofappetite,thirst,epigastricuneasiness,

vomiting,headache,patsinthebackandlimbs,muscularweakness,convulsions,

delirium,etc。;inthesecondstage,cutaneouseruption,itching,tingling,

sorethroat,swelledfauces,salivation,cough,hoarseness,dyspnoea,etc。;

andinthethirdstage,oedematousinflammations,pneumonia,pleurisy,diarrhoea,

inflammationofthebrain,ophthalmia,erysipelas,etc。:eachofwhichenumerated

symptomsisitselfmoreorlesscomplex。Nowitneedsonlytoconsiderthat

thisworkingofmanychangesbyoneforceonanadultorganism,mustbepartially

paralleledinanembryo—organism,tounderstandthatinittootheremust

beamultiplicationofeffects,evertendingtoproduceincreasingheterogeneity。

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