Bythisimpositionofnames,someoflarger,someofstrictersignification,weturnthereckoningoftheconsequencesofthingsimaginedinthemindintoareckoningoftheconsequencesofappellations。Forexample,amanthathathnouseofspeechatall,suchasisbornandremainsperfectlydeafanddumb,ifhesetbeforehiseyesatriangle,andbyittworightanglessuchasarethecornersofasquarefigure,hemaybymeditationcompareandfindthatthethreeanglesofthattriangleareequaltothosetworightanglesthatstandbyit。Butifanothertrianglebeshownhimdifferentinshapefromtheformer,hecannotknowwithoutanewlabourwhetherthethreeanglesofthatalsobeequaltothesame。Buthethathaththeuseofwords,whenheobservesthatsuchequalitywasconsequent,nottothelengthofthesides,nortoanyotherparticularthinginhistriangle;butonlytothis,thatthesideswerestraight,andtheanglesthree,andthatthatwasall,forwhichhenameditatriangle;willboldlyconcludeuniversallythatsuchequalityofanglesisinalltriangleswhatsoever,andregisterhisinventioninthesegeneralterms:Everytrianglehathitsthreeanglesequaltotworightangles。Andthustheconsequencefoundinoneparticularcomestoberegisteredandrememberedasauniversalrule;anddischargesourmentalreckoningoftimeandplace,anddeliversusfromalllabourofthemind,savingthefirst;andmakesthatwhichwasfoundtruehere,andnow,tobetrueinalltimesandplaces。
Buttheuseofwordsinregisteringourthoughtsisinnothingsoevidentasinnumbering。Anaturalfoolthatcouldneverlearnbyhearttheorderofnumeralwords,asone,two,andthree,mayobserveeverystrokeoftheclock,andnodtoit,orsayone,one,one,butcanneverknowwhathouritstrikes。Anditseemstherewasatimewhenthosenamesofnumberwerenotinuse;andmenwerefaintoapplytheirfingersofoneorbothhandstothosethingstheydesiredtokeepaccountof;andthatthenceitproceededthatnowournumeralwordsarebutten,inanynation,andinsomebutfive,andthentheybeginagain。Andhethatcantellten,ifherecitethemoutoforder,willlosehimself,andnotknowwhenhehasdone:muchlesswillhebeabletoadd,andsubtract,andperformallotheroperationsofarithmetic。Sothatwithoutwordsthereisnopossibilityofreckoningofnumbers;muchlessofmagnitudes,ofswiftness,offorce,andotherthings,thereckoningswhereofarenecessarytothebeingorwell-beingofmankind。
Whentwonamesarejoinedtogetherintoaconsequence,oraffirmation,asthus,Amanisalivingcreature;orthus,Ifhebeaman,heisalivingcreature;ifthelatternamelivingcreaturesignifyallthattheformernamemansignifieth,thentheaffirmation,orconsequence,istrue;otherwisefalse。Fortrueandfalseareattributesofspeech,notofthings。Andwherespeechisnot,thereisneithertruthnorfalsehood。Errortheremaybe,aswhenweexpectthatwhichshallnotbe,orsuspectwhathasnotbeen;butinneithercasecanamanbechargedwithuntruth。
Seeingthenthattruthconsistethintherightorderingofnamesinouraffirmations,amanthatseekethprecisetruthhadneedtorememberwhateverynameheusesstandsfor,andtoplaceitaccordingly;orelsehewillfindhimselfentangledinwords,asabirdinlimetwigs;themorehestruggles,themorebelimed。AndthereforeingeometrywhichistheonlysciencethatithathpleasedGodhithertotobestowonmankind,menbeginatsettlingthesignificationsoftheirwords;whichsettlingofsignifications,theycalldefinitions,andplacetheminthebeginningoftheirreckoning。
Bythisitappearshownecessaryitisforanymanthataspirestotrueknowledgetoexaminethedefinitionsofformerauthors;andeithertocorrectthem,wheretheyarenegligentlysetdown,ortomakethemhimself。Fortheerrorsofdefinitionsmultiplythemselves,accordingasthereckoningproceeds,andleadmenintoabsurdities,whichatlasttheysee,butcannotavoid,withoutreckoninganewfromthebeginning;inwhichliesthefoundationoftheirerrors。Fromwhenceithappensthattheywhichtrusttobooksdoastheythatcastupmanylittlesumsintoagreater,withoutconsideringwhetherthoselittlesumswererightlycastupornot;andatlastfindingtheerrorvisible,andnotmistrustingtheirfirstgrounds,knownotwhichwaytoclearthemselves,spendtimeinflutteringovertheirbooks;asbirdsthatenteringbythechimney,andfindingthemselvesenclosedinachamber,flutteratthefalselightofaglasswindow,forwantofwittoconsiderwhichwaytheycamein。Sothatintherightdefinitionofnamesliesthefirstuseofspeech;whichistheacquisitionofscience:andinwrong,ornodefinitions,liesthefirstabuse;fromwhichproceedallfalseandsenselesstenets;whichmakethosementhattaketheirinstructionfromtheauthorityofbooks,andnotfromtheirownmeditation,tobeasmuchbelowtheconditionofignorantmenasmenenduedwithtruescienceareaboveit。Forbetweentruescienceanderroneousdoctrines,ignoranceisinthemiddle。Naturalsenseandimaginationarenotsubjecttoabsurdity。Natureitselfcannoterr:andasmenaboundincopiousnessoflanguage;sotheybecomemorewise,ormoremad,thanordinary。Norisitpossiblewithoutlettersforanymantobecomeeitherexcellentlywiseorunlesshismemorybehurtbydisease,orillconstitutionoforgansexcellentlyfoolish。Forwordsarewisemen’scounters;theydobutreckonbythem:buttheyarethemoneyoffools,thatvaluethembytheauthorityofanAristotle,aCicero,oraThomas,oranyotherdoctorwhatsoever,ifbutaman。