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。