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All¡¡this¡¡is¡¡very¡¡well¡¡if¡¡no¡¡mistakes¡¡are¡¡made¡£¡¡When¡¡Tertullian¡¡said£»¡¡¡®¡®Credo¡¡quia¡¡impossibile¡¡est£»''¡¡we¡¡will¡¡allow¡¡honesty¡¡of¡¡statement¡¡to¡¡this¡¡great¡¡scholar£»¡¡especially¡¡as¡¡he¡¡was¡¡speaking¡¡about¡¡matters¡¡of¡¡religion£»¡¡but¡¡when¡¡Socrates¡¡said¡¡of¡¡the¡¡works¡¡of¡¡Heraclitus¡¡the¡¡Obscure£º¡¡¡®¡®What¡¡I¡¡understand¡¡of¡¡it¡¡is¡¡good£»¡¡I¡¡think¡¡that¡¡what¡¡I¡¡do¡¡not¡¡understand¡¡is¡¡also¡¡good''he¡¡was¡¡not¡¡in¡¡earnest¡£¡¡Now¡¡the¡¡case¡¡of¡¡many¡¡people¡¡who¡¡are¡¡not¡¡as¡¡wise¡¡as¡¡Tertullian¡¡and¡¡Socrates¡¡is¡¡identical¡¡with¡¡theirs¡£¡¡Numerous¡¡examinations¡¡of¡¡witnesses¡¡made¡¡me¡¡think¡¡of¡¡Tertullian's¡¡maxim£»¡¡for¡¡the¡¡testimonies¡¡presented¡¡the¡¡most¡¡improbable¡¡things¡¡as¡¡facts¡£¡¡And¡¡when¡¡they¡¡even¡¡explained¡¡the¡¡most¡¡unintelligible¡¡things¡¡I¡¡thought£º¡¡¡®¡®And¡¡what¡¡you¡¡do¡¡not¡¡understand¡¡is¡¡also¡¡good¡£''

This¡¡belief¡¡of¡¡uncultured¡¡people¡¡in¡¡their¡¡own¡¡intelligence¡¡has¡¡been¡¡most¡¡excellently¡¡portrayed¡¡by¡¡Wieland¡¡in¡¡his¡¡immortal¡¡¡®¡®Abderites¡£''¡¡The¡¡fourth¡¡philosopher¡¡says£º¡¡¡®¡®What¡¡you¡¡call¡¡the¡¡world¡¡¡¡is¡¡essentially¡¡an¡¡infinite¡¡series¡¡of¡¡worlds¡¡which¡¡envelop¡¡one¡¡another¡¡like¡¡the¡¡skin¡¡of¡¡an¡¡onion¡£''¡¡¡®¡®Very¡¡clear£»''¡¡said¡¡the¡¡Abderites£»¡¡and¡¡thought¡¡they¡¡understood¡¡the¡¡philosopher¡¡because¡¡they¡¡knew¡¡perfectly¡¡well¡¡what¡¡an¡¡onion¡¡looked¡¡like¡£¡¡The¡¡inference¡¡which¡¡is¡¡drawn¡¡from¡¡the¡¡comprehension¡¡of¡¡one¡¡term¡¡in¡¡a¡¡comparison¡¡to¡¡the¡¡comprehension¡¡of¡¡the¡¡other¡¡is¡¡one¡¡of¡¡the¡¡most¡¡important¡¡reasons¡¡for¡¡the¡¡occurrence¡¡of¡¡so¡¡many¡¡misunderstandings¡£¡¡The¡¡example£»¡¡as¡¡such£»¡¡is¡¡understood£»¡¡but¡¡its¡¡application¡¡to¡¡the¡¡assertion¡¡and¡¡the¡¡question¡¡whether¡¡the¡¡latter¡¡is¡¡also¡¡made¡¡clear¡¡by¡¡the¡¡example¡¡are¡¡forgotten¡£¡¡This¡¡explains¡¡the¡¡well¡¡known¡¡and¡¡supreme¡¡power¡¡of¡¡examples¡¡and¡¡comparisons£»¡¡and¡¡hence¡¡the¡¡wise¡¡of¡¡all¡¡times¡¡have¡¡used¡¡comparisons¡¡in¡¡speaking¡¡to¡¡the¡¡poor¡¡in¡¡spirit¡£¡¡Hence£»¡¡too£»¡¡the¡¡great¡¡effect¡¡of¡¡comparisons£»¡¡and¡¡also¡¡the¡¡numerous¡¡and¡¡coarse¡¡misunderstandings¡¡and¡¡the¡¡effort¡¡of¡¡the¡¡untrained¡¡and¡¡unintelligent¡¡to¡¡clarify¡¡those¡¡things¡¡they¡¡do¡¡not¡¡understand¡¡by¡¡means¡¡of¡¡comparisons¡£¡¡Fortunately¡¡they¡¡have£»¡¡in¡¡trying¡¡to¡¡explain¡¡the¡¡thing¡¡to¡¡other¡¡people£»¡¡the¡¡habit¡¡of¡¡making¡¡use¡¡of¡¡these¡¡difficultly¡¡discovered¡¡comparisons¡¡so¡¡that¡¡the¡¡others£»¡¡if¡¡they¡¡are¡¡only¡¡sufficiently¡¡observant£»¡¡may¡¡succeed¡¡in¡¡testing¡¡the¡¡correctness¡¡of¡¡the¡¡inference¡¡from¡¡one¡¡term¡¡in¡¡a¡¡comparison¡¡to¡¡the¡¡other¡£¡¡We¡¡do¡¡this¡¡frequently¡¡in¡¡examining¡¡witnesses£»¡¡and¡¡we¡¡discover¡¡that¡¡the¡¡witness¡¡has¡¡made¡¡use¡¡of¡¡a¡¡figure¡¡to¡¡clarify¡¡some¡¡unintelligible¡¡point¡¡and¡¡that¡¡he¡¡necessarily¡¡understands¡¡it¡¡since¡¡it¡¡lies¡¡within¡¡the¡¡field¡¡of¡¡his¡¡instruments¡¡of¡¡thought¡£¡¡But¡¡what¡¡is¡¡compared¡¡remains¡¡as¡¡confused¡¡to¡¡him¡¡as¡¡before¡£¡¡The¡¡test¡¡of¡¡it£»¡¡therefore£»¡¡is¡¡very¡¡tiring¡¡and¡¡mainly¡¡without¡¡results£»¡¡because¡¡one¡¡rarely¡¡succeeds¡¡in¡¡liberating¡¡a¡¡man¡¡from¡¡some¡¡figure¡¡discovered¡¡with¡¡difficulty¡£¡¡He¡¡always¡¡returns¡¡to¡¡it¡¡because¡¡he¡¡understands¡¡it£»¡¡though¡¡really¡¡not¡¡what¡¡he¡¡compares¡£¡¡But¡¡what¡¡is¡¡gained¡¡in¡¡such¡¡a¡¡case¡¡is¡¡not¡¡little£»¡¡for¡¡the¡¡certainty¡¡that£»¡¡so¡¡revealed£»¡¡the¡¡witness¡¡does¡¡not¡¡understand¡¡the¡¡matter¡¡in¡¡hand£»¡¡easily¡¡determines¡¡the¡¡value¡¡of¡¡his¡¡testimony¡£

The¡¡fullness¡¡of¡¡the¡¡possibilities¡¡under¡¡which¡¡anything¡¡may¡¡be¡¡asserted¡¡is¡¡also¡¡of¡¡importance¡¡in¡¡this¡¡matter¡£¡¡The¡¡inference¡¡that¡¡a¡¡thing¡¡is¡¡impossible¡¡is¡¡generally¡¡made¡¡by¡¡most¡¡people¡¡in¡¡such¡¡wise¡¡that¡¡they¡¡first¡¡consider¡¡the¡¡details¡¡of¡¡the¡¡eventualities¡¡they¡¡already¡¡know£»¡¡or¡¡immediately¡¡present¡£¡¡Then£»¡¡when¡¡these¡¡are¡¡before¡¡them£»¡¡they¡¡infer¡¡that¡¡the¡¡matter¡¡is¡¡quite¡¡impossibleand¡¡whether¡¡one¡¡or¡¡more¡¡different¡¡eventualities¡¡have¡¡missed¡¡of¡¡consideration£»¡¡is¡¡not¡¡studied¡¡at¡¡all¡£¡¡Our¡¡kindly¡¡professor¡¡of¡¡physics¡¡once¡¡told¡¡us£º¡¡¡®¡®Today¡¡I¡¡intended¡¡to¡¡show¡¡you¡¡the¡¡beautiful¡¡experiments¡¡in¡¡the¡¡interference¡¡of¡¡lightbut¡¡it¡¡can¡¡not¡¡be¡¡observed¡¡in¡¡daylight¡¡and¡¡when¡¡¡¡I¡¡draw¡¡the¡¡curtains¡¡you¡¡raise¡¡rough¡­house¡£¡¡The¡¡demonstration¡¡is¡¡therefore¡¡impossible¡¡and¡¡I¡¡take¡¡the¡¡instruments¡¡away¡£''¡¡The¡¡good¡¡man¡¡did¡¡not¡¡consider¡¡the¡¡other¡¡eventuality£»¡¡that¡¡we¡¡might¡¡be¡¡depended¡¡upon¡¡to¡¡behave¡¡decently¡¡even¡¡if¡¡the¡¡curtains¡¡were¡¡drawn¡£

Hence¡¡the¡¡rule¡¡that¡¡a¡¡witness's¡¡assertion¡¡that¡¡a¡¡thing¡¡is¡¡impossible¡¡must¡¡never¡¡be¡¡trusted¡£¡¡Take¡¡the¡¡simplest¡¡example¡£¡¡The¡¡witness¡¡assures¡¡us¡¡that¡¡it¡¡is¡¡impossible¡¡for¡¡a¡¡theft¡¡to¡¡have¡¡been¡¡committed¡¡by¡¡some¡¡stranger¡¡from¡¡outside¡£¡¡If¡¡you¡¡ask¡¡him¡¡why£»¡¡he¡¡will¡¡probably¡¡tell¡¡you£º¡¡¡®¡®Because¡¡the¡¡door¡¡was¡¡bolted¡¡and¡¡the¡¡windows¡¡barred¡£''¡¡The¡¡eventuality¡¡that¡¡the¡¡thief¡¡might¡¡have¡¡entered¡¡by¡¡way¡¡of¡¡the¡¡chimney£»¡¡or¡¡have¡¡sent¡¡a¡¡child¡¡between¡¡the¡¡bars¡¡of¡¡the¡¡window£»¡¡or¡¡have¡¡made¡¡use¡¡of¡¡some¡¡peculiar¡¡instrument£»¡¡etc¡££»¡¡are¡¡not¡¡considered£»¡¡and¡¡would¡¡not¡¡be¡¡if¡¡the¡¡question¡¡concerning¡¡the¡¡ground¡¡of¡¡the¡¡inference¡¡had¡¡not¡¡been¡¡put¡£

We¡¡must¡¡especially¡¡remember¡¡that¡¡we¡¡criminalists¡¡¡®¡®must¡¡not¡¡dally¡¡with¡¡mathematical¡¡truth¡¡but¡¡must¡¡seek¡¡historical¡¡truth¡£¡¡We¡¡start¡¡with¡¡a¡¡mass¡¡of¡¡details£»¡¡unite¡¡them£»¡¡and¡¡succeed¡¡by¡¡means¡¡of¡¡this¡¡union¡¡and¡¡test¡¡in¡¡attaining¡¡a¡¡result¡¡which¡¡permits¡¡us¡¡to¡¡judge¡¡concerning¡¡the¡¡existence¡¡and¡¡the¡¡characteristics¡¡of¡¡past¡¡events¡£''¡¡The¡¡material¡¡of¡¡our¡¡work¡¡lies¡¡in¡¡the¡¡mass¡¡of¡¡details£»¡¡and¡¡the¡¡manner¡¡and¡¡reliability¡¡of¡¡its¡¡presentation¡¡determines¡¡the¡¡certainty¡¡of¡¡our¡¡inferences¡£

Seen¡¡more¡¡closely¡¡the¡¡winning¡¡of¡¡this¡¡material¡¡may¡¡be¡¡described¡¡as¡¡Hume¡¡describes¡¡it£º£§1£§¡¡¡®¡®If¡¡we¡¡would¡¡satisfy¡¡ourselves£»¡¡therefore£»¡¡concerning¡¡the¡¡nature¡¡of¡¡that¡¡evidence¡¡which¡¡assures¡¡us¡¡of¡¡matters¡¡of¡¡fact£»¡¡we¡¡must¡¡inquire¡¡how¡¡we¡¡arrive¡¡at¡¡the¡¡knowledge¡¡of¡¡cause¡¡and¡¡effect¡£¡¡I¡¡shall¡¡venture¡¡to¡¡affirm¡¡as¡¡a¡¡general¡¡proposition¡¡which¡¡admits¡¡of¡¡no¡¡exception£»¡¡that¡¡the¡¡knowledge¡¡of¡¡this¡¡relation¡¡is¡¡not£»¡¡in¡¡any¡¡instance£»¡¡attained¡¡by¡¡reasonings¡¡a¡¡priori£»¡¡but¡¡arises¡¡entirely¡¡from¡¡experience£»¡¡when¡¡we¡¡find¡¡that¡¡any¡¡particular¡¡objects¡¡are¡¡constantly¡¡conjoined¡¡with¡¡each¡¡other£»¡¡¡£¡¡¡£¡¡¡£¡¡nor¡¡can¡¡our¡¡reason£»¡¡unassisted¡¡by¡¡experience£»¡¡ever¡¡draw¡¡any¡¡inference¡¡concerning¡¡real¡¡existence¡¡and¡¡matter¡¡of¡¡fact¡£''


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If¡¡we¡¡regard¡¡the¡¡matter¡¡more¡¡closely¡¡we¡¡may¡¡say¡¡with¡¡certainty£º¡¡This¡¡medium¡¡exists¡¡not¡¡as¡¡a¡¡substance¡¡but¡¡as¡¡a¡¡transition¡£¡¡When¡¡I¡¡speak¡¡in¡¡the¡¡proposition¡¡of¡¡¡®¡®such¡¡an¡¡object£»''¡¡I¡¡already¡¡have¡¡¡®¡®similar''¡¡in¡¡mind£»¡¡inasmuch¡¡as¡¡there¡¡is¡¡nothing¡¡absolutely¡¡like¡¡anything¡¡else£»¡¡and¡¡when¡¡I¡¡say¡¡in¡¡the¡¡first¡¡proposition£»¡¡¡®¡®such¡¡an¡¡object£»''¡¡I¡¡have¡¡already¡¡passed¡¡into¡¡the¡¡assertion¡¡made¡¡in¡¡the¡¡second¡¡proposition¡£


Suppose¡¡that¡¡we¡¡take¡¡these¡¡propositions¡¡concretely£º

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I¡¡could¡¡not¡¡make¡¡various¡¡experiments¡¡with¡¡the¡¡same¡¡corn¡¡in¡¡case¡¡£¨1£©¡£¡¡I¡¡could¡¡handle¡¡corn¡¡taken¡¡as¡¡such¡¡from¡¡one¡¡point¡¡of¡¡view£»¡¡or¡¡considered¡¡as¡¡such¡¡from¡¡another£»¡¡i¡£¡¡e¡££»¡¡I¡¡could¡¡only¡¡experiment¡¡with¡¡very¡¡similar¡¡objects¡£¡¡I¡¡can¡¡therefore¡¡make¡¡these¡¡experiments¡¡with¡¡corn¡¡from¡¡progressively¡¡remoter¡¡starting¡¡points£»¡¡or¡¡soils£»¡¡and¡¡finally¡¡with¡¡corn¡¡from¡¡Barbary¡¡and¡¡East¡¡Africa£»¡¡so¡¡that¡¡there¡¡can¡¡no¡¡longer¡¡be¡¡any¡¡question¡¡of¡¡identity¡¡but¡¡only¡¡of¡¡similarity¡£¡¡And¡¡finally¡¡I¡¡can¡¡compare¡¡two¡¡harvests¡¡of¡¡corn¡¡which¡¡have¡¡less¡¡similarity¡¡than¡¡certain¡¡species¡¡of¡¡corn¡¡and¡¡certain¡¡species¡¡of¡¡wheat¡£¡¡I¡¡am¡¡therefore¡¡entitled¡¡to¡¡speak¡¡of¡¡identical¡¡or¡¡similar¡¡in¡¡the¡¡first¡¡proposition¡¡as¡¡much¡¡as¡¡in¡¡the¡¡second¡£¡¡One¡¡proposition¡¡has¡¡led¡¡into¡¡another¡¡and¡¡the¡¡connection¡¡between¡¡them¡¡has¡¡been¡¡discovered¡£

The¡¡criminological¡¡importance¡¡of¡¡this¡¡¡®¡®connection''¡¡lies¡¡in¡¡the¡¡fact¡¡that¡¡the¡¡correctness¡¡of¡¡our¡¡inferences¡¡depends¡¡upon¡¡its¡¡discovery¡£¡¡We¡¡work¡¡continuously¡¡with¡¡these¡¡two¡¡Humian¡¡propositions£»¡¡and¡¡we¡¡always¡¡make¡¡our¡¡assertion£»¡¡first£»¡¡that¡¡some¡¡things¡¡are¡¡related¡¡as¡¡cause¡¡and¡¡effect£»¡¡and¡¡we¡¡join¡¡the¡¡present¡¡case¡¡to¡¡that¡¡because¡¡we¡¡consider¡¡it¡¡similar¡£¡¡If¡¡it¡¡is¡¡really¡¡similar£»¡¡and¡¡the¡¡connection¡¡of¡¡the¡¡first¡¡and¡¡the¡¡second¡¡proposition¡¡are¡¡actually¡¡correct£»¡¡the¡¡truth¡¡of¡¡the¡¡inference¡¡is¡¡attained¡£¡¡We¡¡need¡¡not¡¡count¡¡the¡¡unexplained¡¡wonders¡¡of¡¡numerical¡¡relations¡¡in¡¡the¡¡result¡£¡¡D'Alembert¡¡¡¡asserts£º¡¡¡®¡®It¡¡seems¡¡as¡¡if¡¡there¡¡were¡¡some¡¡law¡¡of¡¡nature¡¡which¡¡more¡¡frequently¡¡prevents¡¡the¡¡occurrence¡¡of¡¡regular¡¡than¡¡irregular¡¡combinations£»¡¡those¡¡of¡¡the¡¡first¡¡kind¡¡are¡¡mathematically£»¡¡but¡¡not¡¡physically£»¡¡more¡¡probable¡£¡¡When¡¡we¡¡see¡¡that¡¡high¡¡numbers¡¡are¡¡thrown¡¡with¡¡some¡¡one¡¡die£»¡¡we¡¡are¡¡immediately¡¡inclined¡¡to¡¡call¡¡that¡¡die¡¡false¡£''¡¡And¡¡John¡¡Stuart¡¡Mill¡¡adds£»¡¡that¡¡d'Alembert¡¡should¡¡have¡¡set¡¡the¡¡problem¡¡in¡¡the¡¡form¡¡of¡¡asking¡¡whether¡¡he¡¡would¡¡believe¡¡in¡¡the¡¡die¡¡if£»¡¡after¡¡having¡¡examined¡¡it¡¡and¡¡found¡¡it¡¡right£»¡¡somebody¡¡announced¡¡that¡¡ten¡¡sixes¡¡had¡¡been¡¡cast¡¡with¡¡it¡£

We¡¡may¡¡go¡¡still¡¡further¡¡and¡¡assert¡¡that¡¡we¡¡are¡¡generally¡¡inclined¡¡to¡¡consider¡¡an¡¡inference¡¡wrong¡¡which¡¡indicates¡¡that¡¡accidental¡¡matters¡¡have¡¡occurred¡¡in¡¡regular¡¡numerical¡¡relation¡£¡¡Who¡¡believes¡¡the¡¡hunter's¡¡story¡¡that¡¡he¡¡has¡¡shot¡¡100¡¡hares¡¡in¡¡the¡¡past¡¡week£»¡¡or¡¡the¡¡gambler's¡¡that¡¡he¡¡has¡¡won¡¡1000¡¡dollars£»¡¡or¡¡the¡¡sick¡¡man's£»¡¡that¡¡he¡¡was¡¡sick¡¡ten¡¡times£¿¡¡It¡¡will¡¡be¡¡supposed¡¡at¡¡the¡¡very¡¡least¡¡that¡¡each¡¡is¡¡merely¡¡indicating¡¡an¡¡approximately¡¡round¡¡sum¡£¡¡Ninety¡­six¡¡hares£»¡¡987¡¡dollars£»¡¡and¡¡eleven¡¡illnesses¡¡will¡¡sound¡¡more¡¡probable¡£¡¡And¡¡this¡¡goes¡¡so¡¡far¡¡that¡¡during¡¡examinations£»¡¡witnesses¡¡are¡¡shy¡¡of¡¡naming¡¡such¡¡¡®¡®improbable¡¡ratios£»''¡¡if¡¡they¡¡at¡¡all¡¡care¡¡to¡¡have¡¡their¡¡testimony¡¡believed¡£¡¡Then¡¡again£»¡¡many¡¡judges¡¡are¡¡in¡¡no¡¡wise¡¡slow¡¡to¡¡jump¡¡at¡¡such¡¡a¡¡number¡¡and¡¡to¡¡demand¡¡an¡¡¡®¡®accurate¡¡statement£»''¡¡or¡¡eves¡¡immediately¡¡to¡¡decide¡¡that¡¡the¡¡witness¡¡is¡¡talking¡¡only¡¡¡®¡®about¡£''¡¡How¡¡deep¡­rooted¡¡such¡¡views¡¡are¡¡is¡¡indicated¡¡by¡¡the¡¡circumstance¡¡that¡¡bankers¡¡and¡¡other¡¡merchant

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