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Afurtherdifficultyisraisedbythefactthatallknowledgeis
ofuniversalsandofthe’such’,butsubstanceisnotauniversal,but
israthera’this’-aseparablething,sothatifthereisknowledge
aboutthefirstprinciples,thequestionarises,howarewetosuppose
thefirstprincipletobesubstance?
Further,isthereanythingapartfromtheconcretething(bywhich
Imeanthematterandthatwhichisjoinedwithit),ornot?Ifnot,
wearemetbytheobjectionthatallthingsthatareinmatterare
perishable。Butifthereissomething,itmustbetheformorshape。
Nowitishardtodetermineinwhichcasesthisexistsapartandin
whichitdoesnot;forinsomecasestheformisevidentlynot
separable,e。g。inthecaseofahouse。
Further,aretheprinciplesthesameinkindorinnumber?Ifthey
areoneinnumber,allthingswillbethesame。
Sincethescienceofthephilosophertreatsofbeingquabeing
universallyandnotinrespectofapartofit,and’being’hasmany
sensesandisnotusedinoneonly,itfollowsthatifthewordis
usedequivocallyandinvirtueofnothingcommontoitsvarious
uses,beingdoesnotfallunderonescience(forthemeaningsofan
equivocaltermdonotformonegenus);butifthewordisusedin
virtueofsomethingcommon,beingwillfallunderonescience。The
termseemstobeusedinthewaywehavementioned,like’medical’and
’healthy’。Foreachofthesealsoweuseinmanysenses。Termsare
usedinthiswaybyvirtueofsomekindofreference,intheone
casetomedicalscience,intheothertohealth,inothersto
somethingelse,butineachcasetooneidenticalconcept。Fora
discussionandaknifearecalledmedicalbecausetheformer
proceedsfrommedicalscience,andthelatterisusefultoit。Anda
thingiscalledhealthyinasimilarway;onethingbecauseitis
indicativeofhealth,anotherbecauseitisproductiveofit。And
thesameistrueintheothercases。Everythingthatis,then,issaid
to’be’inthissameway;eachthingthatisissaidto’be’because
itisamodificationofbeingquabeingorapermanentora
transientstateoramovementofit,orsomethingelseofthesort。
Andsinceeverythingthatismaybereferredtosomethingsingleand
common,eachofthecontrarietiesalsomaybereferredtothefirst
differencesandcontrarietiesofbeing,whetherthefirst
differencesofbeingarepluralityandunity,orlikenessand
unlikeness,orsomeotherdifferences;letthesebetakenasalready
discussed。Itmakesnodifferencewhetherthatwhichisbereferredto
beingortounity。Foreveniftheyarenotthesamebutdifferent,at
leasttheyareconvertible;forthatwhichisoneisalsosomehow
being,andthatwhichisbeingisone。
Butsinceeverypairofcontrariesfallstobeexaminedbyoneand
thesamescience,andineachpaironetermistheprivativeofthe
otherthoughonemightregardingsomecontrariesraisethequestion,
howtheycanbeprivatelyrelated,viz。thosewhichhavean
intermediate,e。g。unjustandjust-inallsuchcasesonemustmaintain
thattheprivationisnotofthewholedefinition,butoftheinfima
species。ifthejustmanis’byvirtueofsomepermanentdisposition
obedienttothelaws’,theunjustmanwillnotineverycasehave
thewholedefinitiondeniedofhim,butmaybemerely’insomerespect
deficientinobediencetothelaws’,andinthisrespecttheprivation
willattachtohim;andsimilarlyinallothercases。
Asthemathematicianinvestigatesabstractions(forbefore
beginninghisinvestigationhestripsoffallthesensible
qualities,e。g。weightandlightness,hardnessanditscontrary,and
alsoheatandcoldandtheothersensiblecontrarieties,andleaves
onlythequantitativeandcontinuous,sometimesinone,sometimesin
two,sometimesinthreedimensions,andtheattributesofthesequa
quantitativeandcontinuous,anddoesnotconsidertheminanyother
respect,andexaminestherelativeposi