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For¡¡this¡¡ignorance£»¡¡however¡¡deplorable¡¡from¡¡other¡¡points¡¡of¡¡view£»¡¡gave¡¡me¡¡a¡¡rare¡¡advantage¡¡in¡¡this¡¡case¡£¡¡It¡¡was¡¡in¡¡fact¡¡extremely¡¡unlikely¡¡that¡¡my¡¡subliminal¡¡consciousness£»¡¡which¡¡had¡¡never¡¡known¡¡what¡¡a¡¡cubic¡¡root¡¡was¡¡or¡¡the¡¡root¡¡of¡¡any¡¡other¡¡power£»¡¡could¡¡help¡¡the¡¡horse¡£¡¡I¡¡therefore¡¡took¡¡from¡¡a¡¡table¡¡a¡¡list¡¡containing¡¡several¡¡problems£»¡¡all¡¡different¡¡and¡¡all¡¡equally¡¡unpleasant¡¡looking£»¡¡covered¡¡up¡¡the¡¡solutions£»¡¡asked¡¡Krall¡¡to¡¡leave¡¡the¡¡stable¡¡and£»¡¡when¡¡alone¡¡with¡¡Zarif£»¡¡copied¡¡out¡¡one¡¡of¡¡them¡¡on¡¡the¡¡black¡­board¡£¡¡In¡¡order¡¡not¡¡to¡¡overload¡¡these¡¡pages¡¡with¡¡details¡¡which¡¡would¡¡only¡¡be¡¡a¡¡repetition¡¡of¡¡one¡¡another£»¡¡I¡¡will¡¡at¡¡once¡¡say¡¡that¡¡none¡¡of¡¡the¡¡antitelepathic¡¡tests¡¡succeeded¡¡that¡¡day¡£¡¡It¡¡was¡¡the¡¡end¡¡of¡¡the¡¡lesson¡¡and¡¡late¡¡in¡¡the¡¡afternoon£»¡¡the¡¡horses¡¡were¡¡tired¡¡and¡¡irritable£»¡¡and£»¡¡whether¡¡Krall¡¡was¡¡there¡¡or¡¡not£»¡¡whether¡¡the¡¡problem¡¡was¡¡elementary¡¡or¡¡difficult£»¡¡they¡¡gave¡¡only¡¡absurd¡¡replies£»¡¡wilfully¡¡¡¨putting¡¡their¡¡foot¡¡in¡¡it£»¡¨¡¡as¡¡one¡¡might¡¡say¡¡with¡¡very¡¡good¡¡reason¡£¡¡But£»¡¡next¡¡morning£»¡¡on¡¡resuming¡¡their¡¡task£»¡¡when¡¡I¡¡proceeded¡¡as¡¡described¡¡above£»¡¡Mohammed¡¡and¡¡Zarif£»¡¡doubtless¡¡in¡¡a¡¡better¡¡temper¡¡and¡¡already¡¡more¡¡accustomed¡¡to¡¡their¡¡new¡¡examiner£»¡¡gave¡¡in¡¡rapid¡¡succession¡¡correct¡¡answers¡¡to¡¡nearly¡¡every¡¡problem¡¡set¡¡them¡£¡¡I¡¡am¡¡bound¡¡in¡¡fairness¡¡to¡¡say¡¡that¡¡there¡¡was¡¡no¡¡appreciable¡¡difference¡¡between¡¡these¡¡results¡¡and¡¡those¡¡which¡¡are¡¡obtained¡¡in¡¡the¡¡presence¡¡of¡¡Krall¡¡or¡¡other¡¡onlookers¡¡who£»¡¡consciously¡¡or¡¡unconsciously£»¡¡are¡¡already¡¡aware¡¡of¡¡the¡¡answer¡¡required¡£

I¡¡next¡¡thought¡¡of¡¡another¡¡and¡¡much¡¡simpler¡¡test£»¡¡but¡¡one¡¡which£»¡¡by¡¡virtue¡¡of¡¡its¡¡very¡¡simplicity£»¡¡could¡¡not¡¡be¡¡exposed¡¡to¡¡any¡¡elaborate¡¡and¡¡farfetched¡¡suspicions¡£¡¡I¡¡saw¡¡on¡¡one¡¡of¡¡the¡¡shelves¡¡in¡¡the¡¡stable¡¡a¡¡panel¡¡of¡¡cards£»¡¡about¡¡the¡¡size¡¡of¡¡an¡¡octavo¡¡volume£»¡¡each¡¡bearing¡¡an¡¡arabic¡¡numeral¡¡on¡¡one¡¡of¡¡its¡¡sides¡£¡¡I¡¡once¡¡more¡¡asked¡¡my¡¡good¡¡friend¡¡Krall£»¡¡whose¡¡courtesy¡¡is¡¡inexhaustible£»¡¡to¡¡leave¡¡me¡¡alone¡¡with¡¡his¡¡pupil¡£¡¡I¡¡then¡¡shuffled¡¡the¡¡cards¡¡and¡¡put¡¡three¡¡of¡¡them¡¡in¡¡a¡¡row¡¡on¡¡the¡¡spring¡­board¡¡in¡¡front¡¡of¡¡the¡¡horse£»¡¡without¡¡looking¡¡at¡¡them¡¡myself¡£¡¡There¡¡was¡¡therefore£»¡¡at¡¡that¡¡moment£»¡¡not¡¡a¡¡human¡¡soul¡¡on¡¡earth¡¡who¡¡knew¡¡the¡¡figures¡¡spread¡¡at¡¡the¡¡feet¡¡of¡¡my¡¡companion£»¡¡this¡¡creature¡¡so¡¡full¡¡of¡¡mystery¡¡that¡¡already¡¡I¡¡no¡¡longer¡¡dare¡¡call¡¡him¡¡an¡¡animal¡£¡¡Without¡¡hesitation¡¡and¡¡unasked£»¡¡he¡¡rapped¡¡out¡¡correctly¡¡the¡¡number¡¡formed¡¡by¡¡the¡¡cards¡£¡¡The¡¡experiment¡¡succeeded£»¡¡as¡¡often¡¡as¡¡I¡¡cared¡¡to¡¡try¡¡it£»¡¡with¡¡Hanschen£»¡¡Mohammed¡¡and¡¡Zarif¡¡alike¡£¡¡Mohammed¡¡did¡¡even¡¡more£º¡¡as¡¡each¡¡figure¡¡was¡¡of¡¡a¡¡different¡¡colour£»¡¡I¡¡asked¡¡him¡¡to¡¡tell¡¡me¡¡the¡¡colourof¡¡which¡¡I¡¡myself¡¡was¡¡absolutely¡¡ignorantof¡¡the¡¡first¡¡letter¡¡on¡¡the¡¡right¡£¡¡With¡¡the¡¡aid¡¡of¡¡the¡¡conventional¡¡alphabet£»¡¡he¡¡replied¡¡that¡¡it¡¡was¡¡blue£»¡¡which¡¡proved¡¡to¡¡be¡¡the¡¡case¡£¡¡Of¡¡course£»¡¡I¡¡ought¡¡to¡¡have¡¡multiplied¡¡these¡¡experiments¡¡and¡¡made¡¡them¡¡more¡¡exhaustive¡¡and¡¡complicated¡¡by¡¡combining£»¡¡with¡¡the¡¡aid¡¡of¡¡the¡¡cards¡¡and¡¡under¡¡the¡¡same¡¡conditions£»¡¡exercises¡¡in¡¡multiplication£»¡¡division¡¡and¡¡the¡¡extracting¡¡of¡¡roots¡£¡¡I¡¡had¡¡not¡¡the¡¡time£»¡¡but£»¡¡a¡¡few¡¡days¡¡after¡¡I¡¡left£»¡¡the¡¡subject¡¡was¡¡resumed¡¡and¡¡completed¡¡by¡¡Dr¡£¡¡H¡£¡¡Hamel¡£¡¡I¡¡will¡¡sum¡¡up¡¡his¡¡report¡¡of¡¡the¡¡experiments£º¡¡the¡¡doctor£»¡¡alone¡¡in¡¡the¡¡stable¡¡with¡¡the¡¡home¡¡£¨Krall¡¡was¡¡away£»¡¡travelling£©£»¡¡puts¡¡down¡¡on¡¡the¡¡black¡­board¡¡the¡¡sign¡¡£«¡¡and¡¡then¡¡places¡¡before¡¡and¡¡after¡¡this¡¡sign£»¡¡without¡¡looking¡¡at¡¡either¡¡of¡¡them£»¡¡a¡¡card¡¡marked¡¡with¡¡a¡¡figure¡¡which¡¡he¡¡does¡¡not¡¡know¡£¡¡He¡¡next¡¡asks¡¡Mohammed¡¡to¡¡add¡¡up¡¡the¡¡two¡¡numbers¡£¡¡Mohammed¡¡at¡¡first¡¡gives¡¡a¡¡few¡¡heedless¡¡taps¡¡with¡¡his¡¡hoof¡£¡¡He¡¡is¡¡called¡¡to¡¡order¡¡and¡¡requested¡¡to¡¡be¡¡serious¡¡and¡¡to¡¡attend¡£¡¡He¡¡then¡¡gives¡¡fifteen¡¡distinct¡¡taps¡£¡¡The¡¡doctor¡¡next¡¡replaces¡¡the¡¡sign¡¡£«¡¡by¡¡X¡¡and£»¡¡again¡¡without¡¡looking¡¡at¡¡them£»¡¡places¡¡two¡¡cards¡¡on¡¡the¡¡blackboard¡¡and¡¡asks¡¡the¡¡horse¡¡not¡¡to¡¡add¡¡up¡¡the¡¡two¡¡figures¡¡this¡¡time£»¡¡but¡¡to¡¡multiply¡¡them¡£¡¡Mohammed¡¡taps¡¡out£»¡¡¡¨27£»¡¨¡¡which¡¡is¡¡right£»¡¡for¡¡the¡¡black¡­board¡¡says£»¡¡¡¨9¡¡X¡¡3¡£¡¨¡¡The¡¡same¡¡success¡¡follows¡¡with¡¡other¡¡multiplication¡¡sums£º¡¡9¡¡X¡¡2£»¡¡8¡¡X¡¡6¡£¡¡Then¡¡the¡¡doctor¡¡takes¡¡from¡¡an¡¡envelope¡¡a¡¡problem¡¡of¡¡which¡¡he¡¡does¡¡not¡¡know¡¡the¡¡solution£º¡¡fourth¡¡root¡¡of¡¡7890481¡£¡¡Mohammed¡¡replies£»¡¡¡¨53¡£¡¨¡¡The¡¡doctor¡¡looks¡¡at¡¡the¡¡back¡¡of¡¡the¡¡paper£º¡¡once¡¡more£»¡¡the¡¡answer¡¡is¡¡perfectly¡¡correct¡£

16

Does¡¡this¡¡mean¡¡that¡¡every¡¡risk¡¡of¡¡telepathy¡¡is¡¡done¡¡away¡¡with£¿¡¡It¡¡would¡¡perhaps¡¡be¡¡rash¡¡to¡¡make¡¡a¡¡categorical¡¡assertion¡£¡¡The¡¡power¡¡and¡¡extent¡¡of¡¡telepathy¡¡are¡¡as¡¡yet£»¡¡we¡¡cannot¡¡too¡¡often¡¡repeat£»¡¡indefinite£»¡¡indiscernible£»¡¡untraceable¡¡and¡¡unlimited¡£¡¡We¡¡have¡¡but¡¡quite¡¡lately¡¡discovered¡¡it£»¡¡we¡¡know¡¡only¡¡that¡¡its¡¡existence¡¡can¡¡no¡¡longer¡¡be¡¡denied£»¡¡but£»¡¡as¡¡for¡¡all¡¡the¡¡rest£»¡¡we¡¡are¡¡at¡¡much¡¡the¡¡same¡¡stage¡¡as¡¡that¡¡whereat¡¡Galvani¡¡was¡¡when¡¡he¡¡gave¡¡life¡¡to¡¡the¡¡muscles¡¡of¡¡his¡¡dead¡¡frogs¡¡with¡¡two¡¡little¡¡plates¡¡of¡¡metal¡¡which¡¡roused¡¡the¡¡jeers¡¡of¡¡the¡¡scientists¡¡of¡¡his¡¡time£»¡¡but¡¡contained¡¡the¡¡germ¡¡of¡¡all¡¡the¡¡wonders£»¡¡of¡¡electricity¡£

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17

Let¡¡us¡¡see¡¡how¡¡those¡¡who¡¡have¡¡interested¡¡themselves¡¡in¡¡these¡¡extraordinary¡¡manifestations¡¡have¡¡attempted¡¡to¡¡explain¡¡them¡£

As¡¡we¡¡go¡¡along£»¡¡we¡¡will¡¡just¡¡shear¡¡through¡¡the¡¡feeble¡¡undergrowth¡¡of¡¡childish¡¡theories¡£¡¡I¡¡shall¡¡not£»¡¡therefore£»¡¡linger¡¡over¡¡the¡¡suggestions¡¡of¡¡cheating£»¡¡of¡¡manifest¡¡signs¡¡addressed¡¡to¡¡the¡¡eye¡¡or¡¡ear£»¡¡of¡¡electrical¡¡installations¡¡that¡¡are¡¡supposed¡¡to¡¡control¡¡the¡¡answers£»¡¡nor¡¡other¡¡idle¡¡tales¡¡of¡¡an¡¡excessively¡¡clumsy¡¡character¡£¡¡To¡¡realize¡¡their¡¡inexcusable¡¡inanity¡¡we¡¡have¡¡but¡¡to¡¡spend¡¡a¡¡few¡¡minutes¡¡in¡¡the¡¡honest¡¡Elberfeld¡¡stable¡£

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To¡¡make¡¡an¡¡end¡¡of¡¡this¡¡cumbrous¡¡and¡¡puerile¡¡theory£»¡¡is¡¡it¡¡necessary¡¡to¡¡emphasize¡¡again¡¡that¡¡experiments¡¡in¡¡which¡¡the¡¡animal¡¡does¡¡not¡¡see¡¡the¡¡questioner¡¡are¡¡as¡¡regularly¡¡successful¡¡as¡¡the¡¡others£¿¡¡Krall£»¡¡if¡¡you¡¡ask¡¡him£»¡¡will¡¡stand¡¡behind¡¡the¡¡horse£»¡¡will¡¡speak¡¡from¡¡the¡¡end¡¡of¡¡the¡¡room£»¡¡will¡¡leave¡¡the¡¡stable¡¡altogether£»¡¡and¡¡the¡¡results¡¡are¡¡just¡¡the¡¡same¡£¡¡They¡¡are¡¡the¡¡same¡¡again¡¡when¡¡the¡¡tests¡¡are¡¡made¡¡in¡¡the¡¡dark¡¡or¡¡when¡¡the¡¡animal's¡¡head¡¡is¡¡covered¡¡with¡¡a¡¡close¡­fitting¡¡hood¡£¡¡They¡¡do¡¡not¡¡vary¡¡either¡¡in¡¡the¡¡case¡¡of¡¡Berto£»¡¡who¡¡is¡¡stone¡­blind£»¡¡or¡¡when¡¡any¡¡other¡¡person¡¡whatever¡¡sets¡¡the¡¡problem¡¡in¡¡Krall's¡¡absence¡£¡¡Will¡¡it¡¡be¡¡maintained¡¡that¡¡this¡¡outsider¡¡or¡¡that¡¡stranger¡¡is¡¡acquainted¡¡beforehand¡¡with¡¡the¡¡imperceptible¡¡signs¡¡that¡¡are¡¡to¡¡dictate¡¡the¡¡solution¡¡which¡¡he¡¡himself¡¡often¡¡does¡¡not¡¡know£¿

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18

On¡¡the¡¡ground¡¡thus¡¡cleared¡¡and¡¡at¡¡the¡¡portal¡¡of¡¡this¡¡unlooked¡­for¡¡riddle£»¡¡which¡¡comes¡¡to¡¡disturb¡¡our¡¡peace¡¡in¡¡a¡¡region¡¡which¡¡we¡¡thought¡¡to¡¡be¡¡finally¡¡explored¡¡and¡¡conquered£»¡¡there¡¡are¡¡only¡¡two¡¡ways£»¡¡if¡¡not¡¡of¡¡explaining£»¡¡at¡¡least¡¡of¡¡contemplating¡¡the¡¡phenomenon£º¡¡to¡¡admit¡¡purely¡¡and¡¡simply¡¡the¡¡almost¡¡human¡¡intelligence¡¡of¡¡the¡¡horse£»¡¡or¡¡to¡¡have¡¡recourse¡¡to¡¡an¡¡as¡¡yet¡¡very¡¡vague¡¡and¡¡indefinite¡¡theory¡¡which£»¡¡for¡¡lack¡¡of¡¡a¡¡better¡¡designation£»¡¡we¡¡will¡¡call¡¡the¡¡mediumistic¡¡or¡¡subliminal¡¡theory¡¡and¡¡of¡¡which¡¡we¡¡will¡¡strive¡¡presentlyand¡¡no¡¡doubt¡¡vainlyto¡¡dispel¡¡the¡¡grosser¡¡darkness¡£¡¡But£»¡¡whatever¡¡interpretation¡¡we

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