First Principles

第32章

andwouldsorenderittothatextentheterogeneous。Takeapieceofred—hot

matter,andhoweverevenlyheateditmayatfirstbe,itwillquicklycease

tobeso:theexterior,coolingfasterthantheinteriorwillbecomedifferent

fromitintemperature。Andthelapseintoheterogeneityoftemperature,

soobvious。inthisextremecase,takesplacemoreorlessinthecasesof

allsurroundingobjects,whichareeverbeingwarmedorcooled。Theaction

ofchemicalforcessuppliesotherillustrations。Exposeafragmentofmetal

toairorwater,andincourseoftimeitwillbecoatedwithafilmofoxide,

carbonate,orothercompound:itsouterpartswillbecomeunlikeitsinner

parts。Oftentheheterogeneityproducedbytheactionsofchemicalforces

onthesurfacesofmasses,isnotstriking,becausethechangedportions

aresoonwashedaway,orotherwiseremoved。Butifthisbepreventedcomparatively

complexstructuresresult。Insomequarriesoftrap—rocktherearestriking

examples。Notunfrequentlyapieceoftrapmaybefoundreduced,bytheaction

oftheweather,toanumberofloosely—adherentcoats,likethoseofanonion。

Wheretheblockhasbeenundisturbed,wemaytracethewholeseriesofthese,

fromtheangular,irregularouterone,throughsuccessivelyincludedones

inwhichtheshapebecomesgraduallyrounded,endingatlengthinaspherical

nucleus。Oncomparingtheoriginalmassofstonewiththisgroupofconcentric

coats,eachdifferingfromtherestinform,andprobablyinthestateof

decompositionithasarrivedat,wegetamarkedillustrationofthemultiformity

towhich,inlapseoftime,auniformbodymaybebroughtbyexternalchemical

action。Theinstabilityofthehomogeneousisequallyseeninthechanges

setupthroughouttheinteriorofamass,whenitconsistsofunitsthat

arenotrigidlyboundtogether。Themoleculesofaslowly—settlingprecipitate

donotremainseparate,andequablydistributedthroughthefluidinwhich

theymaketheirappearance。Theyaggregateeitherintocrystallinegrains

orintoflocculi;andwherethemassoffluidisgreatandtheprocessprolonged,

theseflocculidonotcontinueequi—distant,butasSembleintogroups。That

istosay,thereisadestructionofthebalanceatfirstsubsistingamong

thediffusedparticles,andalsoofthebalanceatfirstsubsistingamongthegroupsintowhichtheseparticlesunite。Theinstabilitythusvariouslyillustratedisconsequentonthefactthat

theseveralpartsofanyhomogeneousaggregateareexposedtodifferentforces

——forceswhichdiffereitherinkindoramount;andareofnecessitydifferently

modified。Therelationsofoutsideandinside,andofcomparativenearness

ofthepartstoneighbouringsourcesofinfluence,implythereceptionof

influencesthatareunlikeinquantityorquality,orboth:unlikechanges,nowtemporarynowpermanent,beingcaused。Forlikereasonstheprocessmustrepeatitselfineachofthecomponent

massesofunitsthataredifferentiatedbythemodifyingforces。Eachof

theseminorgroups,likethemajorgroup,mustgradually,inobedienceto

theunlikeinfluencesactingonit,loseitsbalanceofparts,andpassfrom

auniformintoamultiformstate。Andsooncontinuously。Whence,indeed,

itfollowsthatnotonlymustthehomogeneouslapseintonon—homogeneous,

butthemorehomogeneousmusttendevertobecomelesshomogeneous。Ifany

givenwhole,insteadofbeingabsolutelyuniformthroughout,consistofparts

distinguishablefromoneanother——ifeachoftheseparts,whilesomewhat

unlikeotherparts,isuniformwithinitself;then,eachofthembeingin

unstableequilibrium,itfollowsthatwhilethechangessetupwithinit

mustrenderitmultiform,theymustatthesametimerenderthewholemore

multiformthanbefore。Thegeneralprinciple,nowtobefollowedoutinits

applications,isthussomewhatmorecomprehensivethanthetitleofthechapterimplies。Nodemurrertotheconclusionsdrawn,canbebasedonthetruththatperfect

homogeneitynowhereexists;since,whetherthatstatewithwhichwecommence

beorbenotoneofperfecthomogeneity,theprocessmustequallybetowardsarelativeheterogeneity。§150。Thestarsaredistributedwithathreefoldirregularity。There

isfirstthemarkedcontrastbetweentheMilkyWayandotherpartsofthe

heavens,inrespectofthequantitiesofstarswithingivenvisualareas。

TherearesecondarycontrastsoflikekindintheMilkyWayitself,which

hasitsthickandthinplaces;aswellasthroughoutthecelestialspaces

ingeneral,whicharemorecloselystrewninsomeregionsthaninothers。

Andthereisathirdorderofcontrastsproducedbytheaggregationofstars

intosmallclusters。Besidesthisheterogeneityinthedistributionofstars,

consideredwithoutdistinctionsofkind,afurtherheterogeneityisdisclosed

whentheyareclassifiedbytheirdifferencesofcolour,whichanswerto

differencesofphysicalconstitution。Whileyellowstarsarefoundinall

partsoftheheavens,redandbluestarsarenotso:therearewideregions

inwhichbothredandbluestarsarerare;thereareregionsinwhichthe

blueoccurinconsiderablenumbers,andthereareotherregionsinwhich

theredarecomparativelyabundant。Yetonemoreirregularityoflikesignificance

ispresentedbythenebulae。Thesearenotdispersedwithanythinglikeuniformity,

butarefarmorenumerousaroundthepolesofthegalacticcirclethanintheneighbourhoodofitsplane。Noonewillexpectthatanythinglikeadefiniteinterpretationofthis

structurecanbegivenonthehypothesisofEvolution,oranyotherhypothesis。

Suchaninterpretationwouldimplysomereasonableassumptionrespecting

thepre—existingdistributionofthestellarmatterandofthematterforming

nebulae,andwehavenowarrantforanyassumption。Ifweallowimagination

torangebackthroughantecedentPossibilitiesandprobabilities,wesee

ittobeunlikelythathomogeneousmatterfilledthespacewhichourSidereal

Systemnowfills,atatimeimmediatelyprecedingitsinitiation。Rather

theevidencewhichtheheavenspresentimpliesthatthedistributionout

ofwhichthepresentdistributionarose,wasirregularinallrespects。Though

certaintraitsofourgalaxysuggestthatithasavagueindividuality,and

that,alongwiththeirspecialmotions,itsstarshavesomegeneralmotion;

yettheevidenceforcesonustheconclusionthatmanyvarietiesofchanges

havebeensimultaneouslygoingoninitsdifferentparts。Wefindnebulae

inallstagesofconcentration,star—clustersvariouslycondensed,groups

oflargerstarsapproximatingindifferentdegrees,aswellasregionslike

thosewhichthenubeculaeoccupy,presentingcomplexstructuresandapparently

activechanges。Themostwhichcanbesaidrespectingthistotaldistribution

isthat,subjectasallpartsofourSiderealSystemaretothelawofgravitation,

theheterogeneitiesitexhibits,everywhereimplyingaprogressingconcentration,

thatis,integration,pointbackwardtoalessheterogeneousstateandpoint

forwardtoamoreheterogeneousstate。But,leavingasidethistootranscendent

question,wemaywithoutunduerashnessconsiderfromtheevolutionpoint

ofviewthechangestobeanticipatedinoneofthosecollectionsofmatter

describedasadiffusednebulosity,oroneofthosemoredistinctonesof

whichtheoutlyingpartsarecomparedtowispsofcloudblownaboutbythe

wind。Theonlyevolutionalprocesswhichcanatfirstbedisplayedisthe

primaryoneofintegration——thegatheringtogetherthroughmutualattraction

oftheparts;forinthisearlystageinwhichindefinitenessandincoherence

aresofullyexemplified,theredoesnotyetexistsuchanaggregateasis

capableofexhibitingsecondaryre—distributions:wehaveonlythedispersed

componentsofsuchanaggregate。Contemplating,then,onlytheprocessof

integration,wemay,withoutaskinganythingabouttheprevioushistoryof

anirregularnebula,safelyassumethatitspartshavetheirrespectiveproper

motions;forthechancesareinfinitytooneagainstastateofrestrelatively

tooneanother。Further,thechancesareinfinitytooneagainsttheirproper

motionsbeingsuchthatduringconcentrationtheywillcanceloneanother:

themotionofsomepart,ortheresultantofthemotionsofseveralparts,

willconstituteapropermotiondistinctfromthatwhichmutualgravitation

generates——amotionwhich,unlessjustcounterbalancedbyanoppositeone

(againaninfiniteimprobability)willgeneraterotation。Itmay,indeed,

bearguedthat,apartfromanypre—existingpropermotionsofitsparts,

anebulousmass,ifirregular,willacquirerotationwhileintegrating;since

eachoutlyingfragment,arrivingaftertheresthavebeengatheredtogether,

isinfinitelyunlikelytofallintothemassinsuchamannerthatitsmotion

willbeentirelycancelledbyresistance;but,fallingintoitsoastobe

deflectedlaterally,willhaveitsmotionofapproachsochangedindirection

astobecomeinpartamotionofrevolution:aresultantofallsuchmotions,

largelyconflicting,beinganeventualrotationofthemass。Itmustnot,

however,beassumedthatthiswillnecessarilybetherotationofasolitary

aggregate。ThegreatnebulainAndromedadoesnotappearonthewaytoform

asinglebody;andisanadvancedspiralofwhichthethatinCanesVenatici

outerpartshaveatangentialmotiontoogreattopermitoftheirbeingdrawn

intothecentre。Rathertheapparentimplicationofthestructureisthat

therewillbeformedaclusterofmassesrevolvingroundacommoncentre

ofgravity。Suchcases,joinedwiththoseoftheannularnebula,suggest

thatoftentheprocessesofintegrationresultincompoundstructures,various

intheirkinds,whileinothercases,andperhapsmostfrequently,singlemassesofrotatingnebulousmatterareformed。Ignoringallsuchpossibilitiesandprobabilities,however,andlimiting

ourattentiontothatformofthenebularhypothesiswhichregardsthesolar

systemashavingresultedfromarotatingspheroidofdiffusedsubstance;

letusconsiderwhatconsequencetheinstabilityofthehomogeneousnecessitates。

Beingoblateinfigure,unlikeinthedensitiesofitscentreandsurface,

unlikeintheirtemperatures,andprobablyunlikeintheangularvelocities

ofitsparts,suchamasscannotbecalledhomogeneous;andanyfurtherchanges

exhibitedbyitcanillustratethegenerallaw,onlyasbeingchangesfrom

amorehomogeneoustoalesshomogeneousstate。Justnotingthatoneofthese

changesistheincreasingoblatenessofform,letusgoontoobservethose

whicharetobefoundinthetransformationsofsuchofitspartsasare

atfirsthomogeneouswithinthemselves。Ifweaccepttheconclusionthat

theequatorialportionofthisrotatingandcontractingspheroidwill,at

successivestages,haveacentrifugalforcegreatenoughtopreventnearer

approachtothecentreofrotation,andwillsobeleftbehind;weshall

find,inthefateofthedetachedring,anexemplificationoftheprinciple

wearefollowingout。Consistingofgaseousmattersucharing,evenifuniform

atthetimeofitsdetachment,couldnotcontinueso。Intheabsenceofequality

amongtheforces,internalandexternal,actingonit,theremustbeapoint

orpointsatwhichthecohesionofitspartswouldbelessthanelsewhere

——apointorpointsatwhichrupturewouldthereforetakeplace。Theoriginal

assumptionwasthattheringwouldruptureatoneplaceonly,andwouldthen

collapseonitself。Butthiswasamorethanquestionableassumption:such,

atleast,IknowtohavebeentheopinionofthelateSirJohnHerschel。

Sovastaring,consistingofmatterhavingsuchfeeblecohesion,mustbreak

upintomanyparts。Nevertheless,appealtoanotherhighauthority——the

lateSirG。B。Airy——yieldedverificationforthebeliefthattheultimate

resultwhichLaplacepredictedwouldtakeplace。Andhereisfurnisheda

furtherillustrationoftheinstabilityofthehomogeneous。Forevensupposing

themassesofnebulousmatterintowhichsucharingseparated,weresomuch

alikeintheirsizesanddistancesastoattractoneanotherwithexactly

equalforces(whichisinfinitelyimprobable);yettheunequalactionsof

externaldisturbingforceswouldinevitablydestroytheirequilibrium——

therewouldbeoneormorepointsatwhichadjacentmasseswouldbeginto

partcompany。Separation,oncecommenced,wouldwithacceleratingspeedlead

toagroupingofthemasses。Alikeresultwouldeventuallytakeplacewiththegroupsthusformed;untiltheyatlengthaggregatedintoasinglemass。§151。Alreadysomanyreferenceshavebeenmadetotheformation

ofacrustovertheoriginallyincandescentEarth,thatitmaybethought

superfluousagaintonameit。Ithasnot,however,beenthusfarconsidered

inconnexionwiththegeneralprincipleunderdiscussion。Hereitmustbe

notedasanecessaryconsequenceoftheinstabilityofthehomogeneous。In

thiscoolingandsoldificationoftheEarth\'ssurface,wehaveoneofthe

simplest,aswellasoneofthemostimportant,instancesofthatchange

fromauniformtoamultiformstatewhichoccursinanymassthroughexposure

ofitscomponentpartstounlikeconditions。Tothedifferentiationofthe

Earth\'sexteriorfromitsinterior,thusbroughtabout,wemustaddoneof

themostconspicuousdifferentiationswhichtheexterioritselfafterwards

undergoes,asbeingsimilarlybroughtabout。Weretheforcestowhichthe

surfaceoftheEarthissubject,alikeinalldirections,therewouldbe

noreasonwhycertainofitspartsshouldbecomepermanentlyunliketherest。

Butbeingunequallyexposedtothechiefexternalcentreofforce——the

Sun——itsmaindivisionsbecomeunequallymodified。Whilethecrustthickens

andcools,therearisesthatcontrast,nowsodecided,betweenthepolarandequatorialregions。AlongwiththesemostmarkedphysicaldifferentiationsoftheEarth,there

havebeengoingonnumerouschemicaldifferentiations,admittingofsimilar

interpretation。Leavingasideallspeculationsconcerningtheoriginofthe

so—calledsimplesubstances,itwillsufficetoshowhowinplaceofthat

comparativehomogeneityoftheEarth\'scrust,chemicallyconsidered,which

musthaveexistedwhenitstemperaturewashigh,therehasarisen,during

itscooling,anincreasingchemicalheterogeneity。Letuscontemplatethis

changesomewhatindetail。Atanextremeheatthebodieswecallelements

cannotcombine。Evenundersuchheatascanbegeneratedartificially,some

verystrongaffinitiesyield;andthegreatmajorityofchemicalcompounds

aredecomposedatmuchlowertemperatures。Probably,therefore,whenthe

Earthwasinitsfirststateofincandescence,therewerenochemicalcombinations。

Butwithoutdrawingthisinference,letussetoutwiththeunquestionable

factthatthecompoundswhichcanexistatthehighesttemperatures,and

whichmustthereforehavebeenthefirstformedastheEarthcooled,are

thoseofthesimplestconstitutions。Theprotoxides(includingunderthat

headthealkalies,earths,etc。)are,asaclass,themoststablecompounds

known——theleastchangeablebyheat。These,consistingseverallyofone

atomofeachcomponentelement,arebutonedegreelesshomogeneousthan

theelementsthemselves。Moreheterogeneousthanthese,moredecomposable

byheat,andthereforelaterintheEarth\'shistory,arethedeutoxides,

tritoxides,peroxides,etc。;inwhichtwo,three,four,ormoreatomsof

oxygenareunitedwithoneatomofmetalorotherbase。Stilllessableto

resistheatarethesalts,whichpresentuswithcompoundatomseachmade

upoffive,six,seven,eight,ten,twelve,ormoreatoms,ofthreeormore

kinds。Thentherearethehydratedsaltsofayetgreaterheterogeneity,

whichundergopartialdecompositionatmuchlowertemperatures。Afterthem

comethefurther—complicatedsupersaltsanddoublesalts,havingastability

againdecreased;andsothroughout。Aftermakingafewunimportantqualifications

demandedbypeculiaraffinities,itmaybeassertedasagenerallawofthese

inorganiccombinationsthat,otherthingsequal,thestabilitydecreases

asthecomplexityincreases。Whenwepasstothecompoundswhichmakeup

organicbodes,wefindthisgenerallawfurtherexemplified;wefindmuch

greatercomplexityandmuchlessstability。Amoleculeofalbumen,forinstance,

consistsofmorethantwohundredultimateunitsoffivedifferentkinds。

Accordingtothelatestanalysesitcontainsineachmolecule,72ofcarbon,

18ofnitrogen,1ofsulphur,112ofhydrogen,and22ofoxygen——inall,

225atoms;or,morestrictlyspeaking,equivalents。Andthissubstanceis

sounstableastodecomposeatquitemoderatetemperatures;asthattowhich

theoutsideofajointofroastingmeatisexposed。Possiblyitwillbeobjected

thatsomeinorganiccompounds,asphosphurettedhydrogen,chlorideofnitrogen,

andthenitrogen—explosivesingeneral,aremoredecomposablethanmostorganic

compounds。Thisistrue。Buttheadmissionmaybemadewithoutdamageto

theargument。Thepropositionisnotthatallsimplecombinationsaremore

stablethanallcomplexones。Toestablishourinferenceitisnecessary

onlytoshowthat,asanaveragefact,thesimplecombinationscanexist

atahighertemperaturethanthecomplexones。Andthisisbeyondquestion。

ThusitismanifestthatthepresentchemicalheterogeneityoftheEarth\'s

surface,andofthebodiesuponit,hasarisenbydegreesasthedecrease

ofheathaspermitted;andthatithasshownitselfinthreeforms:——first,

inthemultiplicationofchemicalcompounds;second,inthegreaternumber

ofdifferentelementscontainedinthemoremodernofthesecompounds;and

third,inthehigherandmorevariedmultiplesinwhichthesemorenumerouselementscombine。Withoutspecifyingthem,itwillsufficejusttonamethemeteorologic

processeseventuallysetupintheEarth\'satmosphere,asfurtherillustrating

theallegedlaw。Theyequallydisplaythatdestructionofahomogeneousstatewhichresultsfromunequalexposuretoincidentforces。§152。Takeamassofunorganizedbutorganizablematter——either

thebodyofoneofthelowestlivingforms,orthegermofoneofthehigher:

bothcomparativelyhomogeneous。Consideritscircumstances。Eitheritis

immersedinwaterorairoriscontainedwithinaparentorganism。Wherever

placed,however,itsouterandinnerpartsstanddifferentlyrelatedtosurrounding

agencies——nutriment,oxygen,andthevariousstimuli。Butthisisnotall。

Whetheritliesquiescentatthebottomofapoolorontheleafofaplant;

whetheritmovesthroughthewaterpreservingsomedefiniteattitude;or

whetheritisintheinsideofanadult;itequallyhappensthatcertain

partsofitssurfacearemoreexposedtosurroundingagenciesthanother

parts——insomecasesmoreexposedtolight,heat,oroxygen,andinother

casestothematernaltissuesandtheircontents。Hencemustfollowtheloss

ofitsoriginalequilibrium。Thismaytakeplaceinoneoftwoways。Either

thedisturbingforcesmaybesuchastoover—balancetheaffinitiesofthe

organicelements,andthereresultsdecomposition;or,asordinarilyoccurs,

suchchangesareinducedasdonotdestroytheorganiccompoundsbutonly

modifythem:thepartsmostexposedtothemodifyingforcesbeingmostmodified。Toelucidatethisafewcasesarerequired。Observefirstwhatappeartobeexceptions。Certainminuteanimalforms

presenteithernoappreciabledifferentiationsordifferentiationssoobscure

astobemadeoutwithgreatdifficulty。Concerningtheseforms,however,

notethefactthatinallcases(somesayinnearlyall)thepresenceof

anucleusshowsconformitytothegenerallaw,sinceitimpliesacontrast

betweentheinnermostprotoplasmandtheprotoplasmsurroundingit。Butlet

uspassontotheseeminglyexceptionalfactthatthesurroundingprotoplasm

doesnotexhibitthekindofdifferentiationbetweeninnerandouterabove

alleged。Tothisobjection,thereimmediatelypresentsitselftheanswer

thatthishomogeneousbody—substancedoesnotbecomeheterogeneousbecause

itspartsarenotsubjecttoanypermanentheterogeneityofconditions:it

hasnofixedsurface。Inallmembersofthelowestgroup,Proteomyxa,the

protoplasmcontinuallyprotrudesitself,nowinthickernowinthinnerprocesses

——pseudopodia;provedtohavenolimitingmembranesbyoftencoalescing。

These,whentheytouchfragmentsofnutriment,contractanddrawtheminto

themassofthebody;sothatwhatwasjustbeforeexternalnowbecomesinternal。

Thustherearenofixedrelationsofpartsandthereforenodifferentiations。

AnditisnoteworthythatincertainoftheAmoebae,lessexcursivethan

othersofthetypeinthemovementsoftheirsubstance,weseeanincipient

differentiation:sometimesthereisaninvestingfilm,"delicateand

evanescent,"implyingthatanouterpartwhichisforashorttimestationary,

beginstobedifferentiated。Perceiving,then,thatthisapparentexception

isinfactaverification,wegoontoobservethatpermanentrelationsof

innerandouterarefollowedbypermanentdifferentiations。Elsewhere(Essays,

i,439)IhavequotedfromSachsvariousproofsthataportionofprotoplasm,

whethernormallydetached,asinaspore,orabnormallydetached,asbya

rupture,forthwithbecomingglobular,atonceacquiresasurfacedenserthan

theinterior;andKernersimilarlydescribestheprotoplasmofazoospore

as"fixingitselfandputtingonadelicatecell—wall。"Thesecases,

joinedwiththoseofvariousProtozoawhich,ceasingtheiractivechanges

ofform,passintoarestingstageandbecomeenclosedinacyst,andjoined

withthecasesofProtophyta,likeSphaerellanivalisor"RedSnow,"

which,initsyoungstageovoid,flagellate,locomotive,andsecretinga

skin,presentlypassesintoarestingstageandbecomessphericalandcovered

byasubstantialcell—membrane,yieldclearevidencethatintheselowest

typesthereisalapsefromamorehomogeneousstateintoalesshomogeneous

state。AndthroughoutthehigherProtozoaandProtophyta,theprimarycontrast

isbetweencell—membraneandcell—contents——betweenthepartexposedtoenvironingforcesandthepartshelteredfromthem。Thetransition——themostimportanttransitionwhichtheorganicworld

presents——betweenthesimpleformsaboveexemplifiedandthosecompound

formsinwhichanumberofsuchareunitedintoacolony,iswellseenin

certainminutealgae,PandorinaandEudorina:eachbeingaspherically—arranged

colonyofsixteenorthirty—twomembers。Inthisfirstadvancefromunicellular

typestomulticellulartypeswefindconformitytothegenerallawinso

farthatthehollowsphereconspicuouslydisplaystheprimarycontrastbetween

outerandinner;aprimitiveamorphousclusterhasundergoneamarkeddifferentiation

ofpartscorrespondingtothedifferenceofconditions。Stillmoreinstructive

istheevidencefurnishedbytypesslightlyinadvanceofthese——Pleodorina

andVolvox;thefirstconsistingofsome128cellsandthesecondof10,000

ormore。Hollowspheresliketheforegoing,theypresentincommonthesignificant

traitthat,revolving,astheydo,onaconstantaxisandmovingforward

approximatelyinthelineofthataxis,theirtwoendsareexposedtoslightly

differentconditions,andtheprimitivehomogeneityofthemembersofthe

colonyhas,inconsequence,lapsedintoappropriateheterogeneity。These

ciliatedalga—cells,whetherlivingsinglyorjoinedintogroups,severally

haveaminuteredspeckwhichisprovedtobesensitivetolight,andcauses

motiontowardsit。Nowinthesecompoundformsjustnamed,theeye—spots

aremoredevelopedinthosecellsformingtheanteriorpartofthespherical

colony—cellswhichalsocarryonmoreactivelythenutritivefunction;while

thosecellswhichformtheposteriorpartofthesphere,andcarryonthe

reproductivefunction,havesmallereye—spots。Onpassingtotheanimalkingdom

(whichatitsrootissolittledifferentiatedfromthevegetalkingdomthat

thereareunsettleddisputesrespectingtheinclusionofthelowestforms

intheoneortheother)wemeetwithparallelillustrations。Thenucleated

cell,whichisthecommonstartingpointforallorganisms,animalandvegetal,

presentsusasbeforewiththeprimarycontrastbetweeninnerandouter。

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