OFREASONANDSCIENCE
WHENmanreasoneth,hedoesnothingelsebutconceiveasumtotal,fromadditionofparcels;orconceivearemainder,fromsubtractionofonesumfromanother:which,ifitbedonebywords,isconceivingoftheconsequenceofthenamesofalltheparts,tothenameofthewhole;orfromthenamesofthewholeandonepart,tothenameoftheotherpart。Andthoughinsomethings,asinnumbers,besidesaddingandsubtracting,mennameotheroperations,asmultiplyinganddividing;yettheyarethesame:formultiplicationisbutaddingtogetherofthingsequal;anddivision,butsubtractingofonething,asoftenaswecan。Theseoperationsarenotincidenttonumbersonly,buttoallmannerofthingsthatcanbeaddedtogether,andtakenoneoutofanother。Forasarithmeticiansteachtoaddandsubtractinnumbers,sothegeometriciansteachthesameinlines,figuressolidandsuperficial,angles,proportions,times,degreesofswiftness,force,power,andthelike;thelogiciansteachthesameinconsequencesofwords,addingtogethertwonamestomakeanaffirmation,andtwoaffirmationstomakeasyllogism,andmanysyllogismstomakeademonstration;andfromthesum,orconclusionofasyllogism,theysubtractonepropositiontofindtheother。Writersofpoliticsaddtogetherpactionstofindmen’sduties;
andlawyers,lawsandfactstofindwhatisrightandwrongintheactionsofprivatemen。Insum,inwhatmattersoeverthereisplaceforadditionandsubtraction,therealsoisplaceforreason;andwherethesehavenoplace,therereasonhasnothingatalltodo。
Outofallwhichwemaydefinethatistosaydeterminewhatthatiswhichismeantbythiswordreasonwhenwereckonitamongstthefacultiesofthemind。Forreason,inthissense,isnothingbutreckoningthatis,addingandsubtractingoftheconsequencesofgeneralnamesagreeduponforthemarkingandsignifyingofourthoughts;Isaymarkingthem,whenwereckonbyourselves;andsignifying,whenwedemonstrateorapproveourreckoningstoothermen。
Andasinarithmeticunpractisedmenmust,andprofessorsthemselvesmayoften,err,andcastupfalse;soalsoinanyothersubjectofreasoning,theablest,mostattentive,andmostpractisedmenmaydeceivethemselves,andinferfalseconclusions;notbutthatreasonitselfisalwaysrightreason,aswellasarithmeticisacertainandinfallibleart:butnooneman’sreason,northereasonofanyonenumberofmen,makesthecertainty;nomorethananaccountisthereforewellcastupbecauseagreatmanymenhaveunanimouslyapprovedit。Andtherefore,aswhenthereisacontroversyinanaccount,thepartiesmustbytheirownaccordsetupforrightreasonthereasonofsomearbitrator,orjudge,towhosesentencetheywillbothstand,ortheircontroversymusteithercometoblows,orbeundecided,forwantofarightreasonconstitutedbyNature;soisitalsoinalldebatesofwhatkindsoever:andwhenmenthatthinkthemselveswiserthanallothersclamouranddemandrightreasonforjudge,yetseeknomorebutthatthingsshouldbedeterminedbynoothermen’sreasonbuttheirown,itisasintolerableinthesocietyofmen,asitisinplayaftertrumpisturnedtousefortrumponeveryoccasionthatsuitwhereoftheyhavemostintheirhand。Fortheydonothingelse,thatwillhaveeveryoftheirpassions,asitcomestobearswayinthem,tobetakenforrightreason,andthatintheirowncontroversies:bewrayingtheirwantofrightreasonbytheclaimtheylaytoit。