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I¡¡was¡¡disposed¡¡straightway¡¡to¡¡search¡¡for¡¡other¡¡truths¡¡and¡¡when¡¡I¡¡had¡¡represented¡¡to¡¡myself¡¡the¡¡object¡¡of¡¡the¡¡geometers£»¡¡which¡¡I¡¡conceived¡¡to¡¡be¡¡a¡¡continuous¡¡body¡¡or¡¡a¡¡space¡¡indefinitely¡¡extended¡¡in¡¡length£»¡¡breadth£»¡¡and¡¡height¡¡or¡¡depth£»¡¡divisible¡¡into¡¡divers¡¡parts¡¡which¡¡admit¡¡of¡¡different¡¡figures¡¡and¡¡sizes£»¡¡and¡¡of¡¡being¡¡moved¡¡or¡¡transposed¡¡in¡¡all¡¡manner¡¡of¡¡ways¡¡£¨for¡¡all¡¡this¡¡the¡¡geometers¡¡suppose¡¡to¡¡be¡¡in¡¡the¡¡object¡¡they¡¡contemplate£©£»¡¡I¡¡went¡¡over¡¡some¡¡of¡¡their¡¡simplest¡¡demonstrations¡£¡¡¡¡And£»¡¡in¡¡the¡¡first¡¡place£»¡¡I¡¡observed£»¡¡that¡¡the¡¡great¡¡certitude¡¡which¡¡by¡¡common¡¡consent¡¡is¡¡accorded¡¡to¡¡these¡¡demonstrations£»¡¡is¡¡founded¡¡solely¡¡upon¡¡this£»¡¡that¡¡they¡¡are¡¡clearly¡¡conceived¡¡in¡¡accordance¡¡with¡¡the¡¡rules¡¡I¡¡have¡¡already¡¡laid¡¡down¡¡In¡¡the¡¡next¡¡place£»¡¡I¡¡perceived¡¡that¡¡there¡¡was¡¡nothing¡¡at¡¡all¡¡in¡¡these¡¡demonstrations¡¡which¡¡could¡¡assure¡¡me¡¡of¡¡the¡¡existence¡¡of¡¡their¡¡object£º¡¡thus£»¡¡for¡¡example£»¡¡supposing¡¡a¡¡triangle¡¡to¡¡be¡¡given£»¡¡I¡¡distinctly¡¡perceived¡¡that¡¡its¡¡three¡¡angles¡¡were¡¡necessarily¡¡equal¡¡to¡¡two¡¡right¡¡angles£»¡¡but¡¡I¡¡did¡¡not¡¡on¡¡that¡¡account¡¡perceive¡¡anything¡¡which¡¡could¡¡assure¡¡me¡¡that¡¡any¡¡triangle¡¡existed£º¡¡¡¡while£»¡¡on¡¡the¡¡contrary£»¡¡recurring¡¡to¡¡the¡¡examination¡¡of¡¡the¡¡idea¡¡of¡¡a¡¡Perfect¡¡Being£»¡¡I¡¡found¡¡that¡¡the¡¡existence¡¡of¡¡the¡¡Being¡¡was¡¡comprised¡¡in¡¡the¡¡idea¡¡in¡¡the¡¡same¡¡way¡¡that¡¡the¡¡equality¡¡of¡¡its¡¡three¡¡angles¡¡to¡¡two¡¡right¡¡angles¡¡is¡¡comprised¡¡in¡¡the¡¡idea¡¡of¡¡a¡¡triangle£»¡¡or¡¡as¡¡in¡¡the¡¡idea¡¡of¡¡a¡¡sphere£»¡¡the¡¡equidistance¡¡of¡¡all¡¡points¡¡on¡¡its¡¡surface¡¡from¡¡the¡¡center£»¡¡or¡¡even¡¡still¡¡more¡¡clearly£»¡¡and¡¡that¡¡consequently¡¡it¡¡is¡¡at¡¡least¡¡as¡¡certain¡¡that¡¡God£»¡¡who¡¡is¡¡this¡¡Perfect¡¡Being£»¡¡is£»¡¡or¡¡exists£»¡¡as¡¡any¡¡demonstration¡¡of¡¡geometry¡¡can¡¡be¡£

But¡¡the¡¡reason¡¡which¡¡leads¡¡many¡¡to¡¡persuade¡¡them¡¡selves¡¡that¡¡there¡¡is¡¡a¡¡difficulty¡¡in¡¡knowing¡¡this¡¡truth£»¡¡and¡¡even¡¡also¡¡in¡¡knowing¡¡what¡¡their¡¡mind¡¡really¡¡is£»¡¡is¡¡that¡¡they¡¡never¡¡raise¡¡their¡¡thoughts¡¡above¡¡sensible¡¡objects£»¡¡and¡¡are¡¡so¡¡accustomed¡¡to¡¡consider¡¡nothing¡¡except¡¡by¡¡way¡¡of¡¡imagination£»¡¡which¡¡is¡¡a¡¡mode¡¡of¡¡thinking¡¡limited¡¡to¡¡material¡¡objects£»¡¡that¡¡all¡¡that¡¡is¡¡not¡¡imaginable¡¡seems¡¡to¡¡them¡¡not¡¡intelligible¡£¡¡¡¡The¡¡truth¡¡of¡¡this¡¡is¡¡sufficiently¡¡manifest¡¡from¡¡the¡¡single¡¡circumstance£»¡¡that¡¡the¡¡philosophers¡¡of¡¡the¡¡schools¡¡accept¡¡as¡¡a¡¡maxim¡¡that¡¡there¡¡is¡¡nothing¡¡in¡¡the¡¡understanding¡¡which¡¡was¡¡not¡¡previously¡¡in¡¡the¡¡senses£»¡¡in¡¡which¡¡however¡¡it¡¡is¡¡certain¡¡that¡¡the¡¡ideas¡¡of¡¡God¡¡and¡¡of¡¡the¡¡soul¡¡have¡¡never¡¡been£»¡¡and¡¡it¡¡appears¡¡to¡¡me¡¡that¡¡they¡¡who¡¡make¡¡use¡¡of¡¡their¡¡imagination¡¡to¡¡comprehend¡¡these¡¡ideas¡¡do¡¡exactly¡¡the¡¡some¡¡thing¡¡as¡¡if£»¡¡in¡¡order¡¡to¡¡hear¡¡sounds¡¡or¡¡smell¡¡odors£»¡¡they¡¡strove¡¡to¡¡avail¡¡themselves¡¡of¡¡their¡¡eyes£»¡¡unless¡¡indeed¡¡that¡¡there¡¡is¡¡this¡¡difference£»¡¡that¡¡the¡¡sense¡¡of¡¡sight¡¡does¡¡not¡¡afford¡¡us¡¡an¡¡inferior¡¡assurance¡¡to¡¡those¡¡of¡¡smell¡¡or¡¡hearing£»¡¡in¡¡place¡¡of¡¡which£»¡¡neither¡¡our¡¡imagination¡¡nor¡¡our¡¡senses¡¡can¡¡give¡¡us¡¡assurance¡¡of¡¡anything¡¡unless¡¡our¡¡understanding¡¡intervene¡£

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But¡¡after¡¡the¡¡knowledge¡¡of¡¡God¡¡and¡¡of¡¡the¡¡soul¡¡has¡¡rendered¡¡us¡¡certain¡¡of¡¡this¡¡rule£»¡¡we¡¡can¡¡easily¡¡understand¡¡that¡¡the¡¡truth¡¡of¡¡the¡¡thoughts¡¡we¡¡experience¡¡when¡¡awake£»¡¡ought¡¡not¡¡in¡¡the¡¡slightest¡¡degree¡¡to¡¡be¡¡called¡¡in¡¡question¡¡on¡¡account¡¡of¡¡the¡¡illusions¡¡of¡¡our¡¡dreams¡£¡¡¡¡For¡¡if¡¡it¡¡happened¡¡that¡¡an¡¡individual£»¡¡even¡¡when¡¡asleep£»¡¡had¡¡some¡¡very¡¡distinct¡¡idea£»¡¡as£»¡¡for¡¡example£»¡¡if¡¡a¡¡geometer¡¡should¡¡discover¡¡some¡¡new¡¡demonstration£»¡¡the¡¡circumstance¡¡of¡¡his¡¡being¡¡asleep¡¡would¡¡not¡¡militate¡¡against¡¡its¡¡truth£»¡¡and¡¡as¡¡for¡¡the¡¡most¡¡ordinary¡¡error¡¡of¡¡our¡¡dreams£»¡¡which¡¡consists¡¡in¡¡their¡¡representing¡¡to¡¡us¡¡various¡¡objects¡¡in¡¡the¡¡same¡¡way¡¡as¡¡our¡¡external¡¡senses£»¡¡this¡¡is¡¡not¡¡prejudicial£»¡¡since¡¡it¡¡leads¡¡us¡¡very¡¡properly¡¡to¡¡suspect¡¡the¡¡truth¡¡of¡¡the¡¡ideas¡¡of¡¡sense£»¡¡for¡¡we¡¡are¡¡not¡¡infrequently¡¡deceived¡¡in¡¡the¡¡same¡¡manner¡¡when¡¡awake£»¡¡as¡¡when¡¡persons¡¡in¡¡the¡¡jaundice¡¡see¡¡all¡¡objects¡¡yellow£»¡¡or¡¡when¡¡the¡¡stars¡¡or¡¡bodies¡¡at¡¡a¡¡great¡¡distance¡¡appear¡¡to¡¡us¡¡much¡¡smaller¡¡than¡¡they¡¡are¡£¡¡¡¡For£»¡¡in¡¡fine£»¡¡whether¡¡awake¡¡or¡¡asleep£»¡¡we¡¡ought¡¡never¡¡to¡¡allow¡¡ourselves¡¡to¡¡be¡¡persuaded¡¡of¡¡the¡¡truth¡¡of¡¡anything¡¡unless¡¡on¡¡the¡¡evidence¡¡of¡¡our¡¡reason¡£¡¡¡¡And¡¡it¡¡must¡¡be¡¡noted¡¡that¡¡I¡¡say¡¡of¡¡our¡¡reason£»¡¡and¡¡not¡¡of¡¡our¡¡imagination¡¡or¡¡of¡¡our¡¡senses£º¡¡¡¡thus£»¡¡for¡¡example£»¡¡although¡¡we¡¡very¡¡clearly¡¡see¡¡the¡¡sun£»¡¡we¡¡ought¡¡not¡¡therefore¡¡to¡¡determine¡¡that¡¡it¡¡is¡¡only¡¡of¡¡the¡¡size¡¡which¡¡our¡¡sense¡¡of¡¡sight¡¡presents£»¡¡and¡¡we¡¡may¡¡very¡¡dis

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