Time,then,andtheheavencameintobeingatthesameinstantin
orderthat,havingbeencreatedtogether,ifevertherewastobea
dissolutionofthem,theymightbedissolvedtogether。Itwasframed
afterthepatternoftheeternalnature,thatitmightresemblethis
asfaraswaspossible;forthepatternexistsfrometernity,and
thecreatedheavenhasbeen,andis,andwillbe,inalltime。Such
wasthemindandthoughtofGodinthecreationoftime。Thesunand
moonandfiveotherstars,whicharecalledtheplanets,were
createdbyhiminordertodistinguishandpreservethenumbersof
time;andwhenhehadmade—theirseveralbodies,heplacedtheminthe
orbitsinwhichthecircleoftheotherwasrevolving—inseven
orbitssevenstars。First,therewasthemoonintheorbitnearestthe
earth,andnextthesun,inthesecondorbitabovetheearth;then
camethemorningstarandthestarsacredtoHermes,movingin
orbitswhichhaveanequalswiftnesswiththesun,butinan
oppositedirection;andthisisthereasonwhythesunandHermes
andLuciferovertakeandareovertakenbyeachother。Toenumeratethe
placeswhichheassignedtotheotherstars,andtogiveallthe
reasonswhyheassignedthem,althoughasecondarymatter,would
givemoretroublethantheprimary。Thesethingsatsomefuture
time,whenweareatleisure,mayhavetheconsiderationwhichthey
deserve,butnotatpresent。
Now,whenallthestarswhichwerenecessarytothecreationoftime
hadattainedamotionsuitabletothem,—andhadbecomeliving
creatureshavingbodiesfastenedbyvitalchains,andlearnttheir
appointedtask,movinginthemotionofthediverse,whichis
diagonal,andpassesthroughandisgovernedbythemotionofthe
same,theyrevolved,someinalargerandsomeinalesserorbit—those
whichhadthelesserorbitrevolvingfaster,andthosewhichhadthe
largermoreslowly。Nowbyreasonofthemotionofthesame,those
whichrevolvedfastestappearedtobeovertakenbythosewhichmoved
sloweralthoughtheyreallyovertookthem;forthemotionofthe
samemadethemallturninaspiral,and,becausesomewentoneway
andsomeanother,thatwhichrecededmostslowlyfromthesphereof
thesame,whichwastheswiftest,appearedtofollowitmostnearly。
Thattheremightbesomevisiblemeasureoftheirrelativeswiftness
andslownessastheyproceededintheireightcourses,Godlighteda
fire,whichwenowcallthesun,inthesecondfromtheearthofthese
orbits,thatitmightgivelighttothewholeofheaven,andthat
theanimals,asmanyasnatureintended,mightparticipatein
number,learningarithmeticfromtherevolutionofthesameandthe
like。Thusthen,andforthisreasonthenightandthedaywere
created,beingtheperiodoftheonemostintelligentrevolution。
Andthemonthisaccomplishedwhenthemoonhascompletedherorbit
andovertakenthesun,andtheyearwhenthesunhascompletedhisown
orbit。Mankind,withhardlyanexception,havenotremarkedthe
periodsoftheotherstars,andtheyhavenonameforthem,anddonot
measurethemagainstoneanotherbythehelpofnumber,andhencethey
canscarcelybesaidtoknowthattheirwanderings,beinginfinite
innumberandadmirablefortheirvariety,makeuptime。Andyetthere
isnodifficultyinseeingthattheperfectnumberoftimefulfilsthe
perfectyearwhenalltheeightrevolutions,havingtheirrelative
degreesofswiftness,areaccomplishedtogetherandattaintheir
completionatthesametime,measuredbytherotationofthesame
andequallymoving。Afterthismanner,andforthesereasons,came
intobeingsuchofthestarsasintheirheavenlyprogressreceived
reversalsofmotion,totheendthatthecreatedheavenmight
imitatetheeternalnature,andbeaslikeaspossibletothe
perfectandintelligibleanimal。
Thusfaranduntilthebirthoftimethecreateduniversewasmade
inthelikenessoftheoriginal,butinasmuchasallanimalswere
notyetcomprehendedtherein,itwasstillunlike。Whatremained,
thecreatorthenproceededtofashionafterthenatureofthepattern。
Nowasintheidealanimalthemindperceivesideasorspeciesofa
certainnatureandnumber,hethoughtthatthiscreatedanimalought
tohavespeciesofalikenatureandnumber。Therearefoursuch;
oneofthemistheheavenlyraceofthegods;another,theraceof
birdswhosewayisintheair;thethird,thewateryspecies;and
thefourth,thepedestrianandlandcreatures。Oftheheavenlyand
divine,hecreatedthegreaterpartoutoffire,thattheymightbe
thebrightestofallthingsandfairesttobehold,andhefashioned
themafterthelikenessoftheuniverseinthefigureofacircle,and
madethemfollowtheintelligentmotionofthesupreme,distributing
themoverthewholecircumferenceofheaven,whichwastobeatrue
cosmosorgloriousworldspangledwiththemallover。Andhegaveto
eachofthemtwomovements:thefirst,amovementonthesamespot
afterthesamemanner,wherebytheyevercontinuetothink
consistentlythesamethoughtsaboutthesamethings;thesecond,a
forwardmovement,inwhichtheyarecontrolledbytherevolutionof
thesameandthelike;butbytheotherfivemotionstheywere
unaffected,inorderthateachofthemmightattainthehighest
perfection。Andforthisreasonthefixedstarswerecreated,tobe
divineandeternalanimals,ever—abidingandrevolvingafterthe
samemannerandonthesamespot;andtheotherstarswhichreverse
theirmotionandaresubjecttodeviationsofthiskind,were
createdinthemanneralreadydescribed。Theearth,whichisour
nurse,clingingaroundthepolewhichisextendedthroughthe
universe,heframedtobetheguardianandartificerofnightandday,
firstandeldestofgodsthatareintheinteriorofheaven。Vain
wouldbetheattempttotellallthefiguresofthemcirclingasin
dance,andtheirjuxtapositions,andthereturnofthemintheir
revolutionsuponthemselves,andtheirapproximations,andtosay
whichofthesedeitiesintheirconjunctionsmeet,andwhichofthem
areinopposition,andinwhatordertheygetbehindandbeforeone
another,andwhentheyareseverallyeclipsedtooursightandagain
reappear,sendingterrorsandintimationsofthefuturetothosewho
cannotcalculatetheirmovements—toattempttotellofallthis
withoutavisiblerepresentationoftheheavenlysystemwouldbe
labourinvain。Enoughonthishead;andnowletwhatwehavesaid
aboutthenatureofthecreatedandvisiblegodshaveanend。
Toknowortelltheoriginoftheotherdivinitiesisbeyondus,and
wemustacceptthetraditionsofthemenofoldtimewhoaffirm
themselvestobetheoffspringofthegods—thatiswhattheysay—and
theymustsurelyhaveknowntheirownancestors。Howcanwedoubt
thewordofthechildrenofthegods?Althoughtheygivenoprobable
orcertainproofs,still,astheydeclarethattheyarespeakingof
whattookplaceintheirownfamily,wemustconformtocustomand
believethem。Inthismanner,then,accordingtothem,thegenealogy
ofthesegodsistobereceivedandsetforth。
OceanusandTethyswerethechildrenofEarthandHeaven,andfrom
thesesprangPhorcysandCronosandRhea,andallthatgeneration;and
fromCronosandRheasprangZeusandHere,andallthosewhoare
saidtobetheirbrethren,andotherswhowerethechildrenofthese。
Now,whenallofthem,boththosewhovisiblyappearintheir
revolutionsaswellasthoseothergodswhoareofamoreretiring
nature,hadcomeintobeing,thecreatoroftheuniverseaddressed
theminthesewords:"Gods,childrenofgods,whoaremyworks,andof
whomIamtheartificerandfather,mycreationsareindissoluble,
ifsoIwill。Allthatisboundmaybeundone,butonlyanevil
beingwouldwishtoundothatwhichisharmoniousandhappy。
Wherefore,sinceyearebutcreatures,yearenotaltogether
immortalandindissoluble,butyeshallcertainlynotbedissolved,
norbeliabletothefateofdeath,havinginmywillagreaterand
mightierbondthanthosewithwhichyewereboundatthetimeof
yourbirth。Andnowlistentomyinstructions:—Threetribesof
mortalbeingsremaintobecreated—withoutthemtheuniversewillbe
incomplete,foritwillnotcontaineverykindofanimalwhichit
oughttocontain,ifitistobeperfect。Ontheotherhand,ifthey
werecreatedbymeandreceivedlifeatmyhands,theywouldbeon
anequalitywiththegods。Inorderthenthattheymaybemortal,
andthatthisuniversemaybetrulyuniversal,doye,accordingto
yournatures,betakeyourselvestotheformationofanimals,imitating
thepowerwhichwasshownbymeincreatingyou。Thepartofthem
worthyofthenameimmortal,whichiscalleddivineandistheguiding
principleofthosewhoarewillingtofollowjusticeandyou—ofthat
divinepartIwillmyselfsowtheseed,andhavingmadeabeginning,I
willhandtheworkovertoyou。Anddoyetheninterweavethemortal
withtheimmortal,andmakeandbegetlivingcreatures,andgive
themfood,andmakethemtogrow,andreceivethemagainindeath。"
Thushespake,andoncemoreintothecupinwhichhehadpreviously
mingledthesouloftheuniversehepouredtheremainsofthe
elements,andmingledtheminmuchthesamemanner;theywerenot,
however,pureasbefore,butdilutedtothesecondandthirddegree。
Andhavingmadeithedividedthewholemixtureintosoulsequalin
numbertothestars,andassignedeachsoultoastar;andhaving
thereplacedthemasinachariot,heshowedthemthenatureofthe
universe,anddeclaredtothemthelawsofdestiny,accordingtowhich
theirfirstbirthwouldbeoneandthesameforall,—nooneshould
sufferadisadvantageathishands;theyweretobesowninthe
instrumentsoftimeseverallyadaptedtothem,andtocomeforththe
mostreligiousofanimals;andashumannaturewasoftwokinds,the
superiorracewouldhereafterbecalledman。Now,whentheyshouldbe
implantedinbodiesbynecessity,andbealwaysgainingorlosingsome
partoftheirbodilysubstance,theninthefirstplaceitwouldbe
necessarythattheyshouldallhaveinthemoneandthesamefaculty
ofsensation,arisingoutofirresistibleimpressions;inthesecond
place,theymusthavelove,inwhichpleasureandpainmingle;also
fearandanger,andthefeelingswhichareakinoroppositetothem;
iftheyconqueredthesetheywouldliverighteously,andifthey
wereconqueredbythem,unrighteously。Hewholivedwellduringhis
appointedtimewastoreturnanddwellinhisnativestar,andthere
hewouldhaveablessedandcongenialexistence。Butifhefailedin
attainingthis,atthesecondbirthhewouldpassintoawoman,and
if,wheninthatstateofbeing,hedidnotdesistfromevil,hewould
continuallybechangedintosomebrutewhoresembledhimintheevil
naturewhichhehadacquired,andwouldnotceasefromhistoilsand
transformationsuntilhefollowedtherevolutionofthesameandthe
likewithinhim,andovercamebythehelpofreasontheturbulent
andirrationalmoboflateraccretions,madeupoffireandairand
waterandearth,andreturnedtotheformofhisfirstandbetter
state。Havinggivenalltheselawstohiscreatures,thathemight
beguiltlessoffutureevilinanyofthem,thecreatorsowedsome
ofthemintheearth,andsomeinthemoon,andsomeintheother
instrumentsoftime;andwhenhehadsownthemhecommittedtothe
youngergodsthefashioningoftheirmortalbodies,anddesiredthem
tofurnishwhatwasstilllackingtothehumansoul,andhavingmade
allthesuitableadditions,toruleoverthem,andtopilotthemortal
animalinthebestandwisestmannerwhichtheycould,andavert
fromhimallbutself—inflictedevils。
Whenthecreatorhadmadealltheseordinancesheremainedinhis
ownaccustomednature,andhischildrenheardandwereobedientto
theirfather’sword,andreceivingfromhimtheimmortalprinciple
ofamortalcreature,inimitationoftheirowncreatorthey
borrowedportionsoffire,andearth,andwater,andairfromthe
world,whichwerehereaftertoberestored—thesetheytookand
weldedthemtogether,notwiththeindissolublechainsbywhichthey
werethemselvesbound,butwithlittlepegstoosmalltobevisible,
makingupoutofallthefourelementseachseparatebody,and
fasteningthecoursesoftheimmortalsoulinabodywhichwasina
stateofperpetualinfluxandefflux。Nowthesecourses,detainedas
inavastriver,neitherovercamenorwereovercome;butwerehurrying
andhurriedtoandfro,sothatthewholeanimalwasmovedand
progressed,irregularlyhoweverandirrationallyandanyhow,inall
thesixdirectionsofmotion,wanderingbackwardsandforwards,and
rightandleft,andupanddown,andinallthesixdirections。For
greataswastheadvancingandretiringfloodwhichprovided
nourishment,theaffectionsproducedbyexternalcontactcaused
stillgreatertumult—whenthebodyofanyonemetandcameinto
collisionwithsomeexternalfire,orwiththesolidearthorthe
glidingwaters,orwascaughtinthetempestborneontheair,andthe
motionsproducedbyanyoftheseimpulseswerecarriedthroughthe
bodytothesoul。Allsuchmotionshaveconsequentlyreceivedthe
generalnameof"sensations,"whichtheystillretain。Andtheydidin
factatthattimecreateaverygreatandmightymovement;uniting
withtheeverflowingstreaminstirringupandviolentlyshaking
thecoursesofthesoul,theycompletelystoppedtherevolutionofthe
samebytheiropposingcurrent,andhindereditfrompredominatingand
advancing;andtheysodisturbedthenatureoftheotherordiverse,
thatthethreedoubleintervals[i。e。between1,2,4,8],andthe
threetripleintervals[i。e。between1,3,9,27],togetherwiththe
meantermsandconnectinglinkswhichareexpressedbytheratiosof3
:2,and4:3,andof9:8—these,althoughtheycannotbewholly
undoneexceptbyhimwhounitedthem,weretwistedbytheminall
sortsofways,andthecircleswerebrokenanddisorderedinevery
possiblemanner,sothatwhentheymovedtheyweretumblingtopieces,
andmovedirrationally,atonetimeinareversedirection,andthen
againobliquely,andthenupsidedown,asyoumightimagineaperson
whoisupsidedownandhashisheadleaninguponthegroundandhis
feetupagainstsomethingintheair;andwhenheisinsucha
position,bothheandthespectatorfancythattherightofeither
ishisleft,andleftright。If,whenpowerfullyexperiencingthese
andsimilareffects,therevolutionsofthesoulcomeincontact
withsomeexternalthing,eitheroftheclassofthesameorofthe
other,theyspeakofthesameoroftheotherinamannerthevery
oppositeofthetruth;andtheybecomefalseandfoolish,andthereis
nocourseorrevolutioninthemwhichhasaguidingordirecting
power;andifagainanysensationsenterinviolentlyfromwithoutand
dragafterthemthewholevesselofthesoul,thenthecoursesof
thesoul,thoughtheyseemtoconquer,arereallyconquered。
Andbyreasonofalltheseaffections,thesoul,whenencasedina
mortalbody,now,asinthebeginning,isatfirstwithout
intelligence;butwhenthefloodofgrowthandnutrimentabates,and
thecoursesofthesoul,calmingdown,gotheirownwayandbecome
steadierastimegoeson,thentheseveralcirclesreturntotheir
naturalform,andtheirrevolutionsarecorrected,andtheycallthe
sameandtheotherbytheirrightnames,andmakethepossessorof
themtobecomearationalbeing。Andifthesecombineinhimwith
anytruenurtureoreducation,heattainsthefulnessandhealthof
theperfectman,andescapestheworstdiseaseofall;butifhe
neglectseducationhewalkslametotheendofhislife,andreturns
imperfectandgoodfornothingtotheworldbelow。This,however,isa
laterstage;atpresentwemusttreatmoreexactlythesubject
beforeus,whichinvolvesapreliminaryenquiryintothegenerationof
thebodyanditsmembers,andastohowthesoulwascreated—for
whatreasonandbywhatprovidenceofthegods;andholdingfastto
probability,wemustpursueourway。
First,then,thegods,imitatingthesphericalshapeofthe
universe,enclosedthetwodivinecoursesinasphericalbody,that,
namely,whichwenowtermthehead,beingthemostdivinepartofus
andthelordofallthatisinus:tothisthegods,whentheyput
togetherthebody,gavealltheothermemberstobeservants,
consideringthatitpartookofeverysortofmotion。Inorderthen
thatitmightnottumbleaboutamongthehighanddeepplacesofthe
earth,butmightbeabletogetovertheoneandoutoftheother,
theyprovidedthebodytobeitsvehicleandmeansoflocomotion;
whichconsequentlyhadlengthandwasfurnishedwithfourlimbs
extendedandflexible;theseGodcontrivedtobeinstrumentsof
locomotionwithwhichitmighttakeholdandfindsupport,andsobe
abletopassthroughallplaces,carryingonhighthedwelling—place
ofthemostsacredanddivinepartofus。Suchwastheoriginof
legsandhands,whichforthisreasonwereattachedtoeveryman;
andthegods,deemingthefrontpartofmantobemorehonourable
andmorefittocommandthanthehinderpart,madeustomovemostly
inaforwarddirection。Whereforemanmustneedshavehisfrontpart
unlikeanddistinguishedfromtherestofhisbody。
Andsointhevesselofthehead,theyfirstofallputafacein
whichtheyinsertedorganstoministerinallthingstotheprovidence
ofthesoul,andtheyappointedthispart,whichhasauthority,to
bebynaturethepartwhichisinfront。Andoftheorgansthey
firstcontrivedtheeyestogivelight,andtheprincipleaccordingto
whichtheywereinsertedwasasfollows:Somuchoffireaswould
notburn,butgaveagentlelight,theyformedintoasubstanceakin
tothelightofevery—daylife;andthepurefirewhichiswithinus
andrelatedtheretotheymadetoflowthroughtheeyesinastream
smoothanddense,compressingthewholeeye,andespeciallythecentre
part,sothatitkeptouteverythingofacoarsernature,and
allowedtopassonlythispureelement。Whenthelightofday
surroundsthestreamofvision,thenlikefallsuponlike,andthey
coalesce,andonebodyisformedbynaturalaffinityinthelineof
vision,whereverthelightthatfallsfromwithinmeetswithan
externalobject。Andthewholestreamofvision,beingsimilarly
affectedinvirtueofsimilarity,diffusesthemotionsofwhatit
touchesorwhattouchesitoverthewholebody,untiltheyreachthe
soul,causingthatperceptionwhichwecallsight。Butwhennight
comesonandtheexternalandkindredfiredeparts,thenthestreamof
visioniscutoff;forgoingforthtoanunlikeelementitis
changedandextinguished,beingnolongerofonenaturewiththe
surroundingatmospherewhichisnowdeprivedoffire:andsotheeye
nolongersees,andwefeeldisposedtosleep。Forwhentheeyelids,
whichthegodsinventedforthepreservationofsight,areclosed,
theykeepintheinternalfire;andthepowerofthefirediffusesand
equalisestheinwardmotions;whentheyareequalised,thereis
rest,andwhentherestisprofound,sleepcomesoverusscarce
disturbedbydreams;butwherethegreatermotionsstillremain,of
whatevernatureandinwhateverlocality,theyengender
correspondingvisionsindreams,whicharerememberedbyuswhenwe
areawakeandintheexternalworld。Andnowthereisnolongerany
difficultyinunderstandingthecreationofimagesinmirrorsand
allsmoothandbrightsurfaces。Forfromthecommunionoftheinternal
andexternalfires,andagainfromtheunionofthemandtheir
numeroustransformationswhentheymeetinthemirror,allthese
appearancesofnecessityarise,whenthefirefromtheface
coalesceswiththefirefromtheeyeonthebrightandsmoothsurface。
Andrightappearsleftandleftright,becausethevisualrayscome
intocontactwiththeraysemittedbytheobjectinamanner
contrarytotheusualmodeofmeeting;buttherightappearsright,
andtheleftleft,whenthepositionofoneofthetwoconcurring
lightsisreversed;andthishappenswhenthemirrorisconcaveand
itssmoothsurfacerepelstherightstreamofvisiontotheleftside,
andthelefttotheright。Orifthemirrorbeturnedvertically,then
theconcavitymakesthecountenanceappeartobeallupsidedown,
andthelowerraysaredrivenupwardsandtheupperdownwards。
Allthesearetobereckonedamongthesecondandco—operative
causeswhichGod,carryingintoexecutiontheideaofthebestas
faraspossible,usesashisministers。Theyarethoughtbymostmen
nottobethesecond,buttheprimecausesofallthings,becausethey
freezeandheat,andcontractanddilate,andthelike。Buttheyare
notso,fortheyareincapableofreasonorintellect;theonly
beingwhichcanproperlyhavemindistheinvisiblesoul,whereasfire
andwater,andearthandair,areallofthemvisiblebodies。The
loverofintellectandknowledgeoughttoexplorecausesof
intelligentnaturefirstofall,and,secondly,ofthosethingswhich,
beingmovedbyothers,arecompelledtomoveothers。Andthisis
whatwetoomustdo。Bothkindsofcausesshouldbeacknowledgedby
us,butadistinctionshouldbemadebetweenthosewhichareendowed
withmindandaretheworkersofthingsfairandgood,andthosewhich
aredeprivedofintelligenceandalwaysproducechanceeffectswithout
orderordesign。Ofthesecondorco—operativecausesofsight,
whichhelptogivetotheeyesthepowerwhichtheynowpossess,
enoughhasbeensaid。Iwillthereforenowproceedtospeakofthe
higheruseandpurposeforwhichGodhasgiventhemtous。Thesight
inmyopinionisthesourceofthegreatestbenefittous,forhad
weneverseenthestars,andthesun,andtheheaven,noneofthe
wordswhichwehavespokenabouttheuniversewouldeverhavebeen
uttered。Butnowthesightofdayandnight,andthemonthsandthe
revolutionsoftheyears,havecreatednumber,andhavegivenusa
conceptionoftime,andthepowerofenquiringaboutthenatureofthe
universe;andfromthissourcewehavederivedphilosophy,than
whichnogreatergoodeverwasorwillbegivenbythegodsto
mortalman。Thisisthegreatestboonofsight:andofthelesser
benefitswhyshouldIspeak?eventheordinarymanifheweredeprived
ofthemwouldbewailhisloss,butinvain。Thusmuchletmesay
however:Godinventedandgaveussighttotheendthatwemight
beholdthecoursesofintelligenceintheheaven,andapplythemto
thecoursesofourownintelligencewhichareakintothem,the
unperturbedtotheperturbed;andthatwe,learningthemandpartaking
ofthenaturaltruthofreason,mightimitatetheabsolutely
unerringcoursesofGodandregulateourownvagaries。Thesamemaybe
affirmedofspeechandhearing:theyhavebeengivenbythegodsto
thesameendandforalikereason。Forthisistheprincipalendof
speech,wheretoitmostcontributes。Moreover,somuchofmusicas
isadaptedtothesoundofthevoiceandtothesenseofhearingis
grantedtousforthesakeofharmony;andharmony,whichhas
motionsakintotherevolutionsofoursouls,isnotregardedbythe
intelligentvotaryoftheMusesasgivenbythemwithaviewto
irrationalpleasure,whichisdeemedtobethepurposeofitinour
day,butasmeanttocorrectanydiscordwhichmayhavearisenin
thecoursesofthesoul,andtobeourallyinbringingherinto
harmonyandagreementwithherself;andrhythmtoowasgivenbythem
forthesamereason,onaccountoftheirregularandgracelessways
whichprevailamongmankindgenerally,andtohelpusagainstthem。
Thusfarinwhatwehavebeensaying,withsmallexception,the
worksofintelligencehavebeensetforth;andnowwemustplaceby
thesideoftheminourdiscoursethethingswhichcomeintobeing
throughnecessity—forthecreationismixed,beingmadeupof
necessityandmind。Mind,therulingpower,persuadednecessityto
bringthegreaterpartofcreatedthingstoperfection,andthusand
afterthismannerinthebeginning,whentheinfluenceofreasongot
thebetterofnecessity,theuniversewascreated。Butifaperson
willtrulytellofthewayinwhichtheworkwasaccomplished,hemust
includetheotherinfluenceofthevariablecauseaswell。
Wherefore,wemustreturnagainandfindanothersuitablebeginning,
asabouttheformermatters,soalsoaboutthese。Towhichendwemust
considerthenatureoffire,andwater,andair,andearth,suchas
theywerepriortothecreationoftheheaven,andwhatwas
happeningtotheminthispreviousstate;fornoonehasasyet
explainedthemanneroftheirgeneration,butwespeakoffireandthe
restofthem,whatevertheymean,asthoughmenknewtheirnatures,
andwemaintainthemtobethefirstprinciplesandlettersor
elementsofthewhole,whentheycannotreasonablybecomparedbya
manofanysenseeventosyllablesorfirstcompounds。Andletme
saythusmuch:Iwillnotnowspeakofthefirstprincipleor
principlesofallthings,orbywhatevernametheyaretobecalled,
forthisreason—becauseitisdifficulttosetforthmyopinion
accordingtothemethodofdiscussionwhichweareatpresent
employing。Donotimagine,anymorethanIcanbringmyselfto
imagine,thatIshouldberightinundertakingsogreatand
difficultatask。RememberingwhatIsaidatfirstabout
probability,Iwilldomybesttogiveasprobableanexplanationas
anyother—orrather,moreprobable;andIwillfirstgobacktothe
beginningandtrytospeakofeachthingandofall。Oncemore,
then,atthecommencementofmydiscourse,IcalluponGod,andbeg
himtobeoursaviouroutofastrangeandunwontedenquiry,andto
bringustothehavenofprobability。Sonowletusbeginagain。
Thisnewbeginningofourdiscussionoftheuniverserequiresa
fullerdivisionthantheformer;forthenwemadetwoclasses,nowa
thirdmustberevealed。Thetwosufficedfortheformerdiscussion:
one,whichweassumed,wasapatternintelligibleandalwaysthesame;
andthesecondwasonlytheimitationofthepattern,generatedand
visible。Thereisalsoathirdkindwhichwedidnotdistinguishat
thetime,conceivingthatthetwowouldbeenough。Butnowthe
argumentseemstorequirethatweshouldsetforthinwordsanother
kind,whichisdifficultofexplanationanddimlyseen。Whatnature
arewetoattributetothisnewkindofbeing?Wereply,thatitis
thereceptacle,andinamannerthenurse,ofallgeneration。Ihave
spokenthetruth;butImustexpressmyselfinclearerlanguage,and
thiswillbeanarduoustaskformanyreasons,andinparticular
becauseImustfirstraisequestionsconcerningfireandtheother
elements,anddeterminewhateachofthemis;fortosay,withany
probabilityorcertitude,whichofthemshouldbecalledwater
ratherthanfire,andwhichshouldbecalledanyofthemratherthan
allorsomeoneofthem,isadifficultmatter。How,then,shallwe
settlethispoint,andwhatquestionsabouttheelementsmaybefairly
raised?
Inthefirstplace,weseethatwhatwejustnowcalledwater,by
condensation,Isuppose,becomesstoneandearth;andthissame
element,whenmeltedanddispersed,passesintovapourandair。Air,
again,wheninflamed,becomesfire;andagainfire,whencondensedand
extinguished,passesoncemoreintotheformofair;andoncemore,
air,whencollectedandcondensed,producescloudandmist;andfrom
these,whenstillmorecompressed,comesflowingwater,andfromwater
comesearthandstonesoncemore;andthusgenerationappearstobe
transmittedfromonetotheotherinacircle。Thus,then,asthe
severalelementsneverpresentthemselvesinthesameform,howcan
anyonehavetheassurancetoassertpositivelythatanyofthem,
whateveritmaybe,isonethingratherthananother?Noonecan。
Butmuchthesafestplanistospeakofthemasfollows:—Anything
whichweseetobecontinuallychanging,as,forexample,fire,we
mustnotcall"this"or"that,"butrathersaythatitis"ofsucha
nature";norletusspeakofwateras"this";butalwaysas"such";
normustweimplythatthereisanystabilityinanyofthosethings
whichweindicatebytheuseofthewords"this"and"that,"supposing
ourselvestosignifysomethingthereby;fortheyaretoovolatileto
bedetainedinanysuchexpressionsas"this,"or"that,"or"relative
tothis,"oranyothermodeofspeakingwhichrepresentsthemas
permanent。Weoughtnottoapply"this"toanyofthem,butratherthe
word"such";whichexpressesthesimilarprinciplecirculatingineach
andallofthem;forexample,thatshouldbecalled"fire"whichisof
suchanaturealways,andsoofeverythingthathasgeneration。That
inwhichtheelementsseverallygrowup,andappear,anddecay,is
alonetobecalledbythename"this"or"that";butthatwhichis
ofacertainnature,hotorwhite,oranythingwhichadmitsof
oppositeequalities,andallthingsthatarecompoundedofthem,ought
nottobesodenominated。Letmemakeanotherattempttoexplainmy
meaningmoreclearly。Supposeapersontomakeallkindsoffiguresof
goldandtobealwaystransmutingoneformintoallthe
rest—somebodypointstooneofthemandaskswhatitis。Byfarthe
safestandtruestansweris,Thatisgold;andnottocallthe
triangleoranyotherfigureswhichareformedinthegold"these,"as
thoughtheyhadexistence,sincetheyareinprocessofchangewhile
heismakingtheassertion;butifthequestionerbewillingtotake
thesafeandindefiniteexpression,"such,"weshouldbesatisfied。
Andthesameargumentappliestotheuniversalnaturewhichreceives
allbodies—thatmustbealwayscalledthesame;for,whilereceiving
allthings,sheneverdepartsatallfromherownnature,andneverin
anyway,oratanytime,assumesaformlikethatofanyofthethings
whichenterintoher;sheisthenaturalrecipientofallimpressions,
andisstirredandinformedbythem,andappearsdifferentfromtime
totimebyreasonofthem。Buttheformswhichenterintoandgoout
ofherarethelikenessesofrealexistencesmodelledaftertheir
patternsinwonderfulandinexplicablemanner,whichwewillhereafter
investigate。Forthepresentwehaveonlytoconceiveofthree
natures:first,thatwhichisinprocessofgeneration;secondly,that
inwhichthegenerationtakesplace;andthirdly,thatofwhichthe
thinggeneratedisaresemblance。Andwemaylikenthereceiving
principletoamother,andthesourceorspringtoafather,andthe
intermediatenaturetoachild;andmayremarkfurther,thatifthe
modelistotakeeveryvarietyofform,thenthematterinwhichthe
modelisfashionedwillnotbedulyprepared,unlessitisformless,
andfreefromtheimpressofanyoftheseshapeswhichitishereafter
toreceivefromwithout。Forifthematterwerelikeanyofthe
superveningforms,thenwheneveranyoppositeorentirelydifferent
naturewasstampeduponitssurface,itwouldtaketheimpression
badly,becauseitwouldintrudeitsownshape。Wherefore,thatwhich
istoreceiveallformsshouldhavenoform;asinmakingperfumes
theyfirstcontrivethattheliquidsubstancewhichistoreceive
thescentshallbeasinodorousaspossible;orasthosewhowishto
impressfiguresonsoftsubstancesdonotallowanyprevious
impressiontoremain,butbeginbymakingthesurfaceasevenand
smoothaspossible。Inthesamewaythatwhichistoreceive
perpetuallyandthroughitswholeextenttheresemblancesofall
eternalbeingsoughttobedevoidofanyparticularform。Wherefore,
themotherandreceptacleofallcreatedandvisibleandinanyway
sensiblethings,isnottobetermedearth,orair,orfire,orwater,
oranyoftheircompoundsoranyoftheelementsfromwhichthese
arederived,butisaninvisibleandformlessbeingwhichreceivesall
thingsandinsomemysteriouswaypartakesoftheintelligible,andis
mostincomprehensible。Insayingthisweshallnotbefarwrong;as
far,however,aswecanattaintoaknowledgeofherfromtheprevious
considerations,wemaytrulysaythatfireisthatpartofher
naturewhichfromtimetotimeisinflamed,andwaterthatwhichis
moistened,andthatthemothersubstancebecomesearthandair,in
sofarasshereceivestheimpressionsofthem。
Letusconsiderthisquestionmoreprecisely。Isthereany
self—existentfire?anddoallthosethingswhichwecall
self—existentexist?orareonlythosethingswhichwesee,orinsome
wayperceivethroughthebodilyorgans,trulyexistent,andnothing
whateverbesidesthem?Andisallthatwhich,wecallan
intelligibleessencenothingatall,andonlyaname?Hereisa
questionwhichwemustnotleaveunexaminedorundetermined,nor
mustweaffirmtooconfidentlythattherecanbenodecision;
neithermustweinterpolateinourpresentlongdiscourseadigression
equallylong,butifitispossibletosetforthagreatprinciple
inafewwords,thatisjustwhatwewant。
ThusIstatemyview:—Ifmindandtrueopinionaretwodistinct
classes,thenIsaythattherecertainlyaretheseself—existentideas
unperceivedbysense,andapprehendedonlybythemind;if,however,
assomesay,trueopiniondiffersinnorespectfrommind,then
everythingthatweperceivethroughthebodyistoberegardedasmost
realandcertain。Butwemustaffirmthattobedistinct,forthey
haveadistinctoriginandareofadifferentnature;theoneis
implantedinusbyinstruction,theotherbypersuasion;theoneis
alwaysaccompaniedbytruereason,theotheriswithoutreason;the
onecannotbeovercomebypersuasion,buttheothercan:andlastly,
everymanmaybesaidtoshareintrueopinion,butmindisthe
attributeofthegodsandofveryfewmen。Whereforealsowemust
acknowledgethatthereisonekindofbeingwhichisalwaysthe
same,uncreatedandindestructible,neverreceivinganythinginto
itselffromwithout,noritselfgoingouttoanyother,but
invisibleandimperceptiblebyanysense,andofwhichthe
contemplationisgrantedtointelligenceonly。Andthereisanother
natureofthesamenamewithit,andliketoit,perceivedbysense,
created,alwaysinmotion,becominginplaceandagainvanishingout
ofplace,whichisapprehendedbyopinionandsense。Andthereisa
thirdnature,whichisspace,andiseternal,andadmitsnotof
destructionandprovidesahomeforallcreatedthings,andis
apprehendedwithoutthehelpofsense,byakindofspuriousreason,
andishardlyreal;whichwebeholdingasinadream,sayofall
existencethatitmustofnecessitybeinsomeplaceandoccupya
space,butthatwhatisneitherinheavennorinearthhasno
existence。Oftheseandotherthingsofthesamekind,relatingtothe
trueandwakingrealityofnature,wehaveonlythisdreamlike
sense,andweareunabletocastoffsleepanddeterminethetruth
aboutthem。Foranimage,sincethereality,afterwhichitis
modelled,doesnotbelongtoit,anditexistseverasthefleeting
shadowofsomeother,mustbeinferredtobeinanother[i。e。inspace
],graspingexistenceinsomewayorother,oritcouldnotbeatall。
Buttrueandexactreason,vindicatingthenatureoftruebeing,
maintainsthatwhiletwothings[i。e。theimageandspace]are
differenttheycannotexistoneofthemintheotherandsobeoneand
alsotwoatthesametime。
ThushaveIconciselygiventheresultofmythoughts;andmy
verdictisthatbeingandspaceandgeneration,thesethree,existed
intheirthreewaysbeforetheheaven;andthatthenurseof
generation,moistenedbywaterandinflamedbyfire,andreceivingthe
formsofearthandair,andexperiencingalltheaffectionswhich
accompanythese,presentedastrangevarietyofappearances;andbeing
fullofpowerswhichwereneithersimilarnorequallybalanced,was
neverinanypartinastateofequipoise,butswayingunevenlyhither
andthither,wasshakenbythem,andbyitsmotionagainshookthem;
andtheelementswhenmovedwereseparatedandcarriedcontinually,
someoneway,someanother;as,whenrainisshakenandwinnowedby
fansandotherinstrumentsusedinthethreshingofcorn,theclose
andheavyparticlesareborneawayandsettleinonedirection,and
thelooseandlightparticlesinanother。Inthismanner,thefour
kindsorelementswerethenshakenbythereceivingvessel,which,
movinglikeawinnowingmachine,scatteredfarawayfromoneanother
theelementsmostunlike,andforcedthemostsimilarelementsinto
dosecontact。Whereforealsothevariouselementshaddifferentplaces
beforetheywerearrangedsoastoformtheuniverse。Atfirst,they
wereallwithoutreasonandmeasure。Butwhentheworldbegantoget
intoorder,fireandwaterandearthandairhadonlycertainfaint
tracesofthemselves,andwerealtogethersuchaseverythingmight
beexpectedtobeintheabsenceofGod;this,Isay,wastheirnature
atthattime,andGodfashionedthembyformandnumber。Letitbe
consistentlymaintainedbyusinallthatwesaythatGodmadethemas
faraspossiblethefairestandbest,outofthingswhichwerenot
fairandgood。AndnowIwillendeavourtoshowyouthedisposition
andgenerationofthembyanunaccustomedargument,whichamcompelled
touse;butIbelievethatyouwillbeabletofollowme,foryour
educationhasmadeyoufamiliarwiththemethodsofscience。
Inthefirstplace,then,asisevidenttoall,fireandearthand
waterandairarebodies。Andeverysortofbodypossessessolidity,
andeverysolidmustnecessarilybecontainedinplanes;andevery
planerectilinearfigureiscomposedoftriangles;andalltriangles
areoriginallyoftwokinds,bothofwhicharemadeupofoneright
andtwoacuteangles;oneofthemhasateitherendofthebasethe
halfofadividedrightangle,havingequalsides,whileinthe
othertherightangleisdividedintounequalparts,havingunequal
sides。These,then,proceedingbyacombinationofprobabilitywith
demonstration,weassumetobetheoriginalelementsoffireandthe
otherbodies;buttheprincipleswhicharepriortotheseGodonly
knows,andheofmenwhoisthefriendGod。Andnextwehaveto
determinewhatarethefourmostbeautifulbodieswhichareunlikeone
another,andofwhichsomearecapableofresolutionintooneanother;
forhavingdiscoveredthusmuch,weshallknowthetrueoriginof
earthandfireandoftheproportionateandintermediateelements。And
thenweshallnotbewillingtoallowthatthereareanydistinct
kindsofvisiblebodiesfairerthanthese。Whereforewemustendeavour
toconstructthefourformsofbodieswhichexcelinbeauty,and
thenweshallbeabletosaythatwehavesufficientlyapprehended
theirnature。Nowofthetwotriangles,theisosceleshasoneform
only;thescaleneorunequal—sidedhasaninfinitenumber。Ofthe
infiniteformswemustselectthemostbeautiful,ifwearetoproceed
indueorder,andanyonewhocanpointoutamorebeautifulformthan
oursfortheconstructionofthesebodies,shallcarryoffthepalm,
notasanenemy,butasafriend。Now,theonewhichwemaintaintobe
themostbeautifulofallthemanytriangles(andweneednotspeakof
theothers)isthatofwhichthedoubleformsathirdtrianglewhich
isequilateral;thereasonofthiswouldbelongtotell;hewho
disproveswhatwearesaying,andshowsthatwearemistaken,may
claimafriendlyvictory。Thenletuschoosetwotriangles,outof
whichfireandtheotherelementshavebeenconstructed,one
isosceles,theotherhavingthesquareofthelongersideequalto
threetimesthesquareofthelesserside。
Nowisthetimetoexplainwhatwasbeforeobscurelysaid:therewas
anerrorinimaginingthatallthefourelementsmightbegeneratedby
andintooneanother;this,Isay,wasanerroneoussupposition,for
therearegeneratedfromthetriangleswhichwehaveselectedfour
kinds—threefromtheonewhichhasthesidesunequal;thefourthalone
isframedoutoftheisoscelestriangle。Hencetheycannotallbe
resolvedintooneanother,agreatnumberofsmallbodiesbeing
combinedintoafewlargeones,ortheconverse。Butthreeofthemcan
bethusresolvedandcompounded,fortheyallspringfromone,and
whenthegreaterbodiesarebrokenup,manysmallbodieswillspring
upoutofthemandtaketheirownproperfigures;or,again,whenmany
smallbodiesaredissolvedintotheirtriangles,iftheybecomeone,
theywillformonelargemassofanotherkind。Somuchfortheir
passageintooneanother。Ihavenowtospeakoftheirseveral
kinds,andshowoutofwhatcombinationsofnumberseachofthemwas
formed。Thefirstwillbethesimplestandsmallestconstruction,
anditselementisthattrianglewhichhasitshypotenusetwicethe
lesserside。Whentwosuchtrianglesarejoinedatthediagonal,and
thisisrepeatedthreetimes,andthetrianglesresttheirdiagonals
andshortersidesonthesamepointasacentre,asingle
equilateraltriangleisformedoutofsixtriangles;andfour
equilateraltriangles,ifputtogether,makeoutofeverythree
planeanglesonesolidangle,beingthatwhichisnearesttothe
mostobtuseofplaneangles;andoutofthecombinationofthese
fouranglesarisesthefirstsolidformwhichdistributesintoequal
andsimilarpartsthewholecircleinwhichitisinscribed。The
secondspeciesofsolidisformedoutofthesametriangles,which
uniteaseightequilateraltrianglesandformonesolidangleoutof
fourplaneangles,andoutofsixsuchanglesthesecondbodyis
completed。Andthethirdbodyismadeupof120triangularelements,
formingtwelvesolidangles,eachofthemincludedinfiveplane
equilateraltriangles,havingaltogethertwentybases,eachofwhich
isanequilateraltriangle。Theoneelement[thatis,thetriangle
whichhasitshypotenusetwicethelesserside]havinggeneratedthese
figures,generatednomore;buttheisoscelestriangleproducedthe
fourthelementaryfigure,whichiscompoundedoffoursuch
triangles,joiningtheirrightanglesinacentre,andformingone
equilateralquadrangle。Sixoftheseunitedformeightsolidangles,
eachofwhichismadebythecombinationofthreeplaneright
angles;thefigureofthebodythuscomposedisacube,havingsix
planequadrangularequilateralbases。Therewasyetafifth
combinationwhichGodusedinthedelineationoftheuniverse。
Now,hewho,dulyreflectingonallthis,enquireswhetherthe
worldsaretoberegardedasindefiniteordefiniteinnumber,willbe
ofopinionthatthenotionoftheirindefinitenessischaracteristic
ofasadlyindefiniteandignorantmind。He,however,whoraisesthe
questionwhethertheyaretobetrulyregardedasoneorfive,takes
upamorereasonableposition。Arguingfromprobabilities,Iamof
opinionthattheyareone;another,regardingthequestionfrom
anotherpointofview,willbeofanothermind。But,leavingthis
enquiry,letusproceedtodistributetheelementaryforms,whichhave
nowbeencreatedinidea,amongthefourelements。