Ì«×ÓүС˵Íø > Ó¢Óïµç×ÓÊé > posterior analytics >

µÚ15½Ú

posterior analytics-µÚ15½Ú

С˵£º posterior analytics ×ÖÊý£º ÿҳ4000×Ö

°´¼üÅÌÉÏ·½Ïò¼ü ¡û »ò ¡ú ¿É¿ìËÙÉÏÏ·­Ò³£¬°´¼üÅÌÉ쵀 Enter ¼ü¿É»Øµ½±¾ÊéĿ¼ҳ£¬°´¼üÅÌÉÏ·½Ïò¼ü ¡ü ¿É»Øµ½±¾Ò³¶¥²¿£¡
¡ª¡ª¡ª¡ªÎ´ÔĶÁÍꣿ¼ÓÈëÊéÇ©ÒѱãÏ´μÌÐøÔĶÁ£¡






their¡¡attributes¡£



¡¡¡¡Again£»¡¡it¡¡is¡¡not¡¡true¡¡that¡¡the¡¡basic¡¡truths¡¡are¡¡much¡¡fewer¡¡than



the¡¡conclusions£»¡¡for¡¡the¡¡basic¡¡truths¡¡are¡¡the¡¡premisses£»¡¡and¡¡the



premisses¡¡are¡¡formed¡¡by¡¡the¡¡apposition¡¡of¡¡a¡¡fresh¡¡extreme¡¡term¡¡or



the¡¡interposition¡¡of¡¡a¡¡fresh¡¡middle¡£¡¡Moreover£»¡¡the¡¡number¡¡of



conclusions¡¡is¡¡indefinite£»¡¡though¡¡the¡¡number¡¡of¡¡middle¡¡terms¡¡is



finite£»¡¡and¡¡lastly¡¡some¡¡of¡¡the¡¡basic¡¡truths¡¡are¡¡necessary£»¡¡others



variable¡£



¡¡¡¡Looking¡¡at¡¡it¡¡in¡¡this¡¡way¡¡we¡¡see¡¡that£»¡¡since¡¡the¡¡number¡¡of



conclusions¡¡is¡¡indefinite£»¡¡the¡¡basic¡¡truths¡¡cannot¡¡be¡¡identical¡¡or



limited¡¡in¡¡number¡£¡¡If£»¡¡on¡¡the¡¡other¡¡hand£»¡¡identity¡¡is¡¡used¡¡in



another¡¡sense£»¡¡and¡¡it¡¡is¡¡said£»¡¡e¡£g¡£¡¡'these¡¡and¡¡no¡¡other¡¡are¡¡the



fundamental¡¡truths¡¡of¡¡geometry£»¡¡these¡¡the¡¡fundamentals¡¡of¡¡calculation£»



these¡¡again¡¡of¡¡medicine'£»¡¡would¡¡the¡¡statement¡¡mean¡¡anything¡¡except



that¡¡the¡¡sciences¡¡have¡¡basic¡¡truths£¿¡¡To¡¡call¡¡them¡¡identical¡¡because



they¡¡are¡¡self¡­identical¡¡is¡¡absurd£»¡¡since¡¡everything¡¡can¡¡be



identified¡¡with¡¡everything¡¡in¡¡that¡¡sense¡¡of¡¡identity¡£¡¡Nor¡¡again¡¡can



the¡¡contention¡¡that¡¡all¡¡conclusions¡¡have¡¡the¡¡same¡¡basic¡¡truths¡¡mean



that¡¡from¡¡the¡¡mass¡¡of¡¡all¡¡possible¡¡premisses¡¡any¡¡conclusion¡¡may¡¡be



drawn¡£¡¡That¡¡would¡¡be¡¡exceedingly¡¡naive£»¡¡for¡¡it¡¡is¡¡not¡¡the¡¡case¡¡in



the¡¡clearly¡¡evident¡¡mathematical¡¡sciences£»¡¡nor¡¡is¡¡it¡¡possible¡¡in



analysis£»¡¡since¡¡it¡¡is¡¡the¡¡immediate¡¡premisses¡¡which¡¡are¡¡the¡¡basic



truths£»¡¡and¡¡a¡¡fresh¡¡conclusion¡¡is¡¡only¡¡formed¡¡by¡¡the¡¡addition¡¡of¡¡a¡¡new



immediate¡¡premiss£º¡¡but¡¡if¡¡it¡¡be¡¡admitted¡¡that¡¡it¡¡is¡¡these¡¡primary



immediate¡¡premisses¡¡which¡¡are¡¡basic¡¡truths£»¡¡each¡¡subject¡­genus¡¡will



provide¡¡one¡¡basic¡¡truth¡£¡¡If£»¡¡however£»¡¡it¡¡is¡¡not¡¡argued¡¡that¡¡from¡¡the



mass¡¡of¡¡all¡¡possible¡¡premisses¡¡any¡¡conclusion¡¡may¡¡be¡¡proved£»¡¡nor¡¡yet



admitted¡¡that¡¡basic¡¡truths¡¡differ¡¡so¡¡as¡¡to¡¡be¡¡generically¡¡different



for¡¡each¡¡science£»¡¡it¡¡remains¡¡to¡¡consider¡¡the¡¡possibility¡¡that£»¡¡while



the¡¡basic¡¡truths¡¡of¡¡all¡¡knowledge¡¡are¡¡within¡¡one¡¡genus£»¡¡special



premisses¡¡are¡¡required¡¡to¡¡prove¡¡special¡¡conclusions¡£¡¡But¡¡that¡¡this



cannot¡¡be¡¡the¡¡case¡¡has¡¡been¡¡shown¡¡by¡¡our¡¡proof¡¡that¡¡the¡¡basic¡¡truths



of¡¡things¡¡generically¡¡different¡¡themselves¡¡differ¡¡generically¡£¡¡For



fundamental¡¡truths¡¡are¡¡of¡¡two¡¡kinds£»¡¡those¡¡which¡¡are¡¡premisses¡¡of



demonstration¡¡and¡¡the¡¡subject¡­genus£»¡¡and¡¡though¡¡the¡¡former¡¡are¡¡common£»



the¡¡latter¡­number£»¡¡for¡¡instance£»¡¡and¡¡magnitude¡­are¡¡peculiar¡£







¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡33







¡¡¡¡Scientific¡¡knowledge¡¡and¡¡its¡¡object¡¡differ¡¡from¡¡opinion¡¡and¡¡the



object¡¡of¡¡opinion¡¡in¡¡that¡¡scientific¡¡knowledge¡¡is¡¡commensurately



universal¡¡and¡¡proceeds¡¡by¡¡necessary¡¡connexions£»¡¡and¡¡that¡¡which¡¡is



necessary¡¡cannot¡¡be¡¡otherwise¡£¡¡So¡¡though¡¡there¡¡are¡¡things¡¡which¡¡are



true¡¡and¡¡real¡¡and¡¡yet¡¡can¡¡be¡¡otherwise£»¡¡scientific¡¡knowledge¡¡clearly



does¡¡not¡¡concern¡¡them£º¡¡if¡¡it¡¡did£»¡¡things¡¡which¡¡can¡¡be¡¡otherwise



would¡¡be¡¡incapable¡¡of¡¡being¡¡otherwise¡£¡¡Nor¡¡are¡¡they¡¡any¡¡concern¡¡of



rational¡¡intuition¡­by¡¡rational¡¡intuition¡¡I¡¡mean¡¡an¡¡originative



source¡¡of¡¡scientific¡¡knowledge¡­nor¡¡of¡¡indemonstrable¡¡knowledge£»



which¡¡is¡¡the¡¡grasping¡¡of¡¡the¡¡immediate¡¡premiss¡£¡¡Since¡¡then¡¡rational



intuition£»¡¡science£»¡¡and¡¡opinion£»¡¡and¡¡what¡¡is¡¡revealed¡¡by¡¡these



terms£»¡¡are¡¡the¡¡only¡¡things¡¡that¡¡can¡¡be¡¡'true'£»¡¡it¡¡follows¡¡that¡¡it¡¡is



opinion¡¡that¡¡is¡¡concerned¡¡with¡¡that¡¡which¡¡may¡¡be¡¡true¡¡or¡¡false£»¡¡and



can¡¡be¡¡otherwise£º¡¡opinion¡¡in¡¡fact¡¡is¡¡the¡¡grasp¡¡of¡¡a¡¡premiss¡¡which¡¡is



immediate¡¡but¡¡not¡¡necessary¡£¡¡This¡¡view¡¡also¡¡fits¡¡the¡¡observed¡¡facts£»



for¡¡opinion¡¡is¡¡unstable£»¡¡and¡¡so¡¡is¡¡the¡¡kind¡¡of¡¡being¡¡we¡¡have¡¡described



as¡¡its¡¡object¡£¡¡Besides£»¡¡when¡¡a¡¡man¡¡thinks¡¡a¡¡truth¡¡incapable¡¡of¡¡being



otherwise¡¡he¡¡always¡¡thinks¡¡that¡¡he¡¡knows¡¡it£»¡¡never¡¡that¡¡he¡¡opines



it¡£¡¡He¡¡thinks¡¡that¡¡he¡¡opines¡¡when¡¡he¡¡thinks¡¡that¡¡a¡¡connexion£»¡¡though



actually¡¡so£»¡¡may¡¡quite¡¡easily¡¡be¡¡otherwise£»¡¡for¡¡he¡¡believes¡¡that



such¡¡is¡¡the¡¡proper¡¡object¡¡of¡¡opinion£»¡¡while¡¡the¡¡necessary¡¡is¡¡the



object¡¡of¡¡knowledge¡£



¡¡¡¡In¡¡what¡¡sense£»¡¡then£»¡¡can¡¡the¡¡same¡¡thing¡¡be¡¡the¡¡object¡¡of¡¡both



opinion¡¡and¡¡knowledge£¿¡¡And¡¡if¡¡any¡¡one¡¡chooses¡¡to¡¡maintain¡¡that¡¡all



that¡¡he¡¡knows¡¡he¡¡can¡¡also¡¡opine£»¡¡why¡¡should¡¡not¡¡opinion¡¡be



knowledge£¿¡¡For¡¡he¡¡that¡¡knows¡¡and¡¡he¡¡that¡¡opines¡¡will¡¡follow¡¡the¡¡same



train¡¡of¡¡thought¡¡through¡¡the¡¡same¡¡middle¡¡terms¡¡until¡¡the¡¡immediate



premisses¡¡are¡¡reached£»¡¡because¡¡it¡¡is¡¡possible¡¡to¡¡opine¡¡not¡¡only¡¡the



fact¡¡but¡¡also¡¡the¡¡reasoned¡¡fact£»¡¡and¡¡the¡¡reason¡¡is¡¡the¡¡middle¡¡term£»¡¡so



that£»¡¡since¡¡the¡¡former¡¡knows£»¡¡he¡¡that¡¡opines¡¡also¡¡has¡¡knowledge¡£



¡¡¡¡The¡¡truth¡¡perhaps¡¡is¡¡that¡¡if¡¡a¡¡man¡¡grasp¡¡truths¡¡that¡¡cannot¡¡be¡¡other



than¡¡they¡¡are£»¡¡in¡¡the¡¡way¡¡in¡¡which¡¡he¡¡grasps¡¡the¡¡definitions¡¡through



which¡¡demonstrations¡¡take¡¡place£»¡¡he¡¡will¡¡have¡¡not¡¡opinion¡¡but



knowledge£º¡¡if¡¡on¡¡the¡¡other¡¡hand¡¡he¡¡apprehends¡¡these¡¡attributes¡¡as



inhering¡¡in¡¡their¡¡subjects£»¡¡but¡¡not¡¡in¡¡virtue¡¡of¡¡the¡¡subjects'



substance¡¡and¡¡essential¡¡nature¡¡possesses¡¡opinion¡¡and¡¡not¡¡genuine



knowledge£»¡¡and¡¡his¡¡opinion£»¡¡if¡¡obtained¡¡through¡¡immediate¡¡premisses£»



will¡¡be¡¡both¡¡of¡¡the¡¡fact¡¡and¡¡of¡¡the¡¡reasoned¡¡fact£»¡¡if¡¡not¡¡so¡¡obtained£»



of¡¡the¡¡fact¡¡alone¡£¡¡The¡¡object¡¡of¡¡opinion¡¡and¡¡knowledge¡¡is¡¡not¡¡quite



identical£»¡¡it¡¡is¡¡only¡¡in¡¡a¡¡sense¡¡identical£»¡¡just¡¡as¡¡the¡¡object¡¡of¡¡true



and¡¡false¡¡opinion¡¡is¡¡in¡¡a¡¡sense¡¡identical¡£¡¡The¡¡sense¡¡in¡¡which¡¡some



maintain¡¡that¡¡true¡¡and¡¡false¡¡opinion¡¡can¡¡have¡¡the¡¡same¡¡object¡¡leads



them¡¡to¡¡embrace¡¡many¡¡strange¡¡doctrines£»¡¡particularly¡¡the¡¡doctrine¡¡that



what¡¡a¡¡man¡¡opines¡¡falsely¡¡he¡¡does¡¡not¡¡opine¡¡at¡¡all¡£¡¡There¡¡are¡¡really



many¡¡senses¡¡of¡¡'identical'£»¡¡and¡¡in¡¡one¡¡sense¡¡the¡¡object¡¡of¡¡true¡¡and



false¡¡opinion¡¡can¡¡be¡¡the¡¡same£»¡¡in¡¡another¡¡it¡¡cannot¡£¡¡Thus£»¡¡to¡¡have¡¡a



true¡¡opinion¡¡that¡¡the¡¡diagonal¡¡is¡¡commensurate¡¡with¡¡the¡¡side¡¡would



be¡¡absurd£º¡¡but¡¡because¡¡the¡¡diagonal¡¡with¡¡which¡¡they¡¡are¡¡both¡¡concerned



is¡¡the¡¡same£»¡¡the¡¡two¡¡opinions¡¡have¡¡objects¡¡so¡¡far¡¡the¡¡same£º¡¡on¡¡the



other¡¡hand£»¡¡as¡¡regards¡¡their¡¡essential¡¡definable¡¡nature¡¡these



objects¡¡differ¡£¡¡The¡¡identity¡¡of¡¡the¡¡objects¡¡of¡¡knowledge¡¡and¡¡opinion



is¡¡similar¡£¡¡Knowledge¡¡is¡¡the¡¡apprehension¡¡of£»¡¡e¡£g¡£¡¡the¡¡attribute



'animal'¡¡as¡¡incapable¡¡of¡¡being¡¡otherwise£»¡¡opinion¡¡the¡¡apprehension



of¡¡'animal'¡¡as¡¡capable¡¡of¡¡being¡¡otherwise¡­e¡£g¡£¡¡the¡¡apprehension¡¡that



animal¡¡is¡¡an¡¡element¡¡in¡¡the¡¡essential¡¡nature¡¡of¡¡man¡¡is¡¡knowledge£»



the¡¡apprehension¡¡of¡¡animal¡¡as¡¡predicable¡¡of¡¡man¡¡but¡¡not¡¡as¡¡an



element¡¡in¡¡man's¡¡essential¡¡nature¡¡is¡¡opinion£º¡¡man¡¡is¡¡the¡¡subject¡¡in



both¡¡judgements£»¡¡but¡¡the¡¡mode¡¡of¡¡inherence¡¡differs¡£



¡¡¡¡This¡¡also¡¡shows¡¡that¡¡one¡¡cannot¡¡opine¡¡and¡¡know¡¡the¡¡same¡¡thing



simultaneously£»¡¡for¡¡then¡¡one¡¡would¡¡apprehend¡¡the¡¡same¡¡thing¡¡as¡¡both



capable¡¡and¡¡incapable¡¡of¡¡being¡¡otherwise¡­an¡¡impossibility¡£¡¡Knowledge



and¡¡opinion¡¡of¡¡the¡¡same¡¡thing¡¡can¡¡co¡­exist¡¡in¡¡two¡¡different¡¡people



in¡¡the¡¡sense¡¡we¡¡have¡¡explained£»¡¡but¡¡not¡¡simultaneously¡¡in¡¡the¡¡same



person¡£¡¡That¡¡would¡¡involve¡¡a¡¡man's¡¡simultaneously¡¡apprehending£»¡¡e¡£g¡£



£¨1£©¡¡that¡¡man¡¡is¡¡essentially¡¡animal¡­i¡£e¡£¡¡cannot¡¡be¡¡other¡¡than



animal¡­and¡¡£¨2£©¡¡that¡¡man¡¡is¡¡not¡¡essentially¡¡animal£»¡¡that¡¡is£»¡¡we¡¡may



assume£»¡¡may¡¡be¡¡other¡¡than¡¡animal¡£



¡¡¡¡Further¡¡consideration¡¡of¡¡modes¡¡of¡¡thinking¡¡and¡¡their¡¡distribution



under¡¡the¡¡heads¡¡of¡¡discursive¡¡thought£»¡¡intuition£»¡¡science£»¡¡art£»



practical¡¡wisdom£»¡¡and¡¡metaphysical¡¡thinking£»¡¡belongs¡¡rather¡¡partly



to¡¡natural¡¡science£»¡¡partly¡¡to¡¡moral¡¡philosophy¡£







¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡34







¡¡¡¡Quick¡¡wit¡¡is¡¡a¡¡faculty¡¡of¡¡hitting¡¡upon¡¡the¡¡middle¡¡term



instantaneously¡£¡¡It¡¡would¡¡be¡¡exemplified¡¡by¡¡a¡¡man¡¡who¡¡saw¡¡that¡¡the



moon¡¡has¡¡her¡¡bright¡¡side¡¡always¡¡turned¡¡towards¡¡the¡¡sun£»¡¡and¡¡quickly



grasped¡¡the¡¡cause¡¡of¡¡this£»¡¡namely¡¡that¡¡she¡¡borrows¡¡her¡¡light¡¡from¡¡him£»



or¡¡observed¡¡somebody¡¡in¡¡conversation¡¡with¡¡a¡¡man¡¡of¡¡wealth¡¡and



divined¡¡that¡¡he¡¡was¡¡borrowing¡¡money£»¡¡or¡¡that¡¡the¡¡friendship¡¡of¡¡these



people¡¡sprang¡¡from¡¡a¡¡common¡¡enmity¡£¡¡In¡¡all¡¡these¡¡instances¡¡he¡¡has¡¡seen



the¡¡major¡¡and¡¡minor¡¡terms¡¡and¡¡then¡¡grasped¡¡the¡¡causes£»¡¡the¡¡middle



terms¡£



¡¡¡¡Let¡¡A¡¡represent¡¡'bright¡¡side¡¡turned¡¡sunward'£»¡¡B¡¡'lighted¡¡from¡¡the



sun'£»¡¡C¡¡the¡¡moon¡£¡¡Then¡¡B£»¡¡'lighted¡¡from¡¡the¡¡sun'¡¡is¡¡predicable¡¡of¡¡C£»



the¡¡moon£»¡¡and¡¡A£»¡¡'having¡¡her¡¡bright¡¡side¡¡towards¡¡the¡¡source¡¡of¡¡her



light'£»¡¡is¡¡predicable¡¡of¡¡B¡£¡¡So¡¡A¡¡is¡¡predicable¡¡of¡¡C¡¡through¡¡B¡£











¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡Book¡¡II



¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡1







¡¡¡¡THE¡¡kinds¡¡of¡¡question¡¡we¡¡ask¡¡are¡¡as¡¡many¡¡as¡¡the¡¡kinds¡¡of¡¡things



which¡¡we¡¡know¡£¡¡They¡¡are¡¡in¡¡fact¡¡four£º¡­£¨1£©¡¡whether¡¡the¡¡connexion¡¡of



an¡¡attribute¡¡with¡¡a¡¡thing¡¡is¡¡a¡¡fact£»¡¡£¨2£©¡¡what¡¡is¡¡the¡¡reason¡¡of¡¡the



connexion£»¡¡£¨3£©¡¡whether¡¡a¡¡thing¡¡exists£»¡¡£¨4£©¡¡What¡¡is¡¡the¡¡nature¡¡of¡¡the



thing¡£¡¡Thus£»¡¡when¡¡our¡¡question¡¡concerns¡¡a¡¡complex¡¡of¡¡thing¡¡and



attribute¡¡and¡¡we¡¡ask¡¡whether¡¡the¡¡thing¡¡is¡¡thus¡¡or¡¡otherwise



qualified¡­whether£»¡¡e¡£g¡£¡¡the¡¡sun¡¡suffers¡¡eclipse¡¡or¡¡not¡­then¡¡we¡¡are



asking¡¡as¡¡t

·µ»ØĿ¼ ÉÏÒ»Ò³ ÏÂÒ»Ò³ »Øµ½¶¥²¿ ÔÞ£¨0£© ²È£¨1£©

Äã¿ÉÄÜϲ»¶µÄ