in¡¡the¡¡series¡¡of¡¡phenomena¡¡regarded¡¡as¡¡changes¡¡£¨in¡¡mundo¡¡non¡¡datur
saltus£©£»¡¡and¡¡likewise£»¡¡in¡¡the¡¡complex¡¡of¡¡all¡¡empirical¡¡intuitions¡¡in
space£»¡¡any¡¡break¡¡or¡¡hiatus¡¡between¡¡two¡¡phenomena¡¡£¨non¡¡datur¡¡hiatus£©¡
for¡¡we¡¡can¡¡so¡¡express¡¡the¡¡principle£»¡¡that¡¡experience¡¡can¡¡admit¡¡nothing
which¡¡proves¡¡the¡¡existence¡¡of¡¡a¡¡vacuum£»¡¡or¡¡which¡¡even¡¡admits¡¡it¡¡as¡¡a
part¡¡of¡¡an¡¡empirical¡¡synthesis¡£¡¡For£»¡¡as¡¡regards¡¡a¡¡vacuum¡¡or¡¡void£»
which¡¡we¡¡may¡¡cogitate¡¡as¡¡out¡¡and¡¡beyond¡¡the¡¡field¡¡of¡¡possible
experience¡¡£¨the¡¡world£©£»¡¡such¡¡a¡¡question¡¡cannot¡¡come¡¡before¡¡the
tribunal¡¡of¡¡mere¡¡understanding£»¡¡which¡¡decides¡¡only¡¡upon¡¡questions¡¡that
concern¡¡the¡¡employment¡¡of¡¡given¡¡phenomena¡¡for¡¡the¡¡construction¡¡of
empirical¡¡cognition¡£¡¡It¡¡is¡¡rather¡¡a¡¡problem¡¡for¡¡ideal¡¡reason£»¡¡which
passes¡¡beyond¡¡the¡¡sphere¡¡of¡¡a¡¡possible¡¡experience¡¡and¡¡aims¡¡at
forming¡¡a¡¡judgement¡¡of¡¡that¡¡which¡¡surrounds¡¡and¡¡circumscribes¡¡it£»
and¡¡the¡¡proper¡¡place¡¡for¡¡the¡¡consideration¡¡of¡¡it¡¡is¡¡the¡¡transcendental
dialectic¡£¡¡These¡¡four¡¡propositions£»¡¡¡¨In¡¡mundo¡¡non¡¡datur¡¡hiatus£»¡¡non
datur¡¡saltus£»¡¡non¡¡datur¡¡casus£»¡¡non¡¡datur¡¡fatum£»¡¨¡¡as¡¡well¡¡as¡¡all
principles¡¡of¡¡transcendental¡¡origin£»¡¡we¡¡could¡¡very¡¡easily¡¡exhibit¡¡in
their¡¡proper¡¡order£»¡¡that¡¡is£»¡¡in¡¡conformity¡¡with¡¡the¡¡order¡¡of¡¡the
categories£»¡¡and¡¡assign¡¡to¡¡each¡¡its¡¡proper¡¡place¡£¡¡But¡¡the¡¡already
practised¡¡reader¡¡will¡¡do¡¡this¡¡for¡¡himself£»¡¡or¡¡discover¡¡the¡¡clue¡¡to
such¡¡an¡¡arrangement¡£¡¡But¡¡the¡¡combined¡¡result¡¡of¡¡all¡¡is¡¡simply¡¡this£»¡¡to
admit¡¡into¡¡the¡¡empirical¡¡synthesis¡¡nothing¡¡which¡¡might¡¡cause¡¡a¡¡break
in¡¡or¡¡be¡¡foreign¡¡to¡¡the¡¡understanding¡¡and¡¡the¡¡continuous¡¡connection¡¡of
all¡¡phenomena£»¡¡that¡¡is£»¡¡the¡¡unity¡¡of¡¡the¡¡conceptions¡¡of¡¡the
understanding¡£¡¡For¡¡in¡¡the¡¡understanding¡¡alone¡¡is¡¡the¡¡unity¡¡of
experience£»¡¡in¡¡which¡¡all¡¡perceptions¡¡must¡¡have¡¡their¡¡assigned¡¡place£»
possible¡£
¡¡¡¡Whether¡¡the¡¡field¡¡of¡¡possibility¡¡be¡¡greater¡¡than¡¡that¡¡of¡¡reality£»
and¡¡whether¡¡the¡¡field¡¡of¡¡the¡¡latter¡¡be¡¡itself¡¡greater¡¡than¡¡that¡¡of
necessity£»¡¡are¡¡interesting¡¡enough¡¡questions£»¡¡and¡¡quite¡¡capable¡¡of
synthetic¡¡solution£»¡¡questions£»¡¡however£»¡¡which¡¡come¡¡under¡¡the
jurisdiction¡¡of¡¡reason¡¡alone¡£¡¡For¡¡they¡¡are¡¡tantamount¡¡to¡¡asking
whether¡¡all¡¡things¡¡as¡¡phenomena¡¡do¡¡without¡¡exception¡¡belong¡¡to¡¡the
complex¡¡and¡¡connected¡¡whole¡¡of¡¡a¡¡single¡¡experience£»¡¡of¡¡which¡¡every
given¡¡perception¡¡is¡¡a¡¡part¡¡which¡¡therefore¡¡cannot¡¡be¡¡conjoined¡¡with
any¡¡other¡¡phenomena¡¡¡or£»¡¡whether¡¡my¡¡perceptions¡¡can¡¡belong¡¡to¡¡more
than¡¡one¡¡possible¡¡experience£¿¡¡The¡¡understanding¡¡gives¡¡to¡¡experience£»
according¡¡to¡¡the¡¡subjective¡¡and¡¡formal¡¡conditions£»¡¡of¡¡sensibility¡¡as
well¡¡as¡¡of¡¡apperception£»¡¡the¡¡rules¡¡which¡¡alone¡¡make¡¡this¡¡experience
possible¡£¡¡Other¡¡forms¡¡of¡¡intuition¡¡besides¡¡those¡¡of¡¡space¡¡and¡¡time£»
other¡¡forms¡¡of¡¡understanding¡¡besides¡¡the¡¡discursive¡¡forms¡¡of
thought£»¡¡or¡¡of¡¡cognition¡¡by¡¡means¡¡of¡¡conceptions£»¡¡we¡¡can¡¡neither
imagine¡¡nor¡¡make¡¡intelligible¡¡to¡¡ourselves£»¡¡and¡¡even¡¡if¡¡we¡¡could£»¡¡they
would¡¡still¡¡not¡¡belong¡¡to¡¡experience£»¡¡which¡¡is¡¡the¡¡only¡¡mode¡¡of
cognition¡¡by¡¡which¡¡objects¡¡are¡¡presented¡¡to¡¡us¡£¡¡Whether¡¡other
perceptions¡¡besides¡¡those¡¡which¡¡belong¡¡to¡¡the¡¡total¡¡of¡¡our¡¡possible
experience£»¡¡and¡¡consequently¡¡whether¡¡some¡¡other¡¡sphere¡¡of¡¡matter
exists£»¡¡the¡¡understanding¡¡has¡¡no¡¡power¡¡to¡¡decide£»¡¡its¡¡proper
occupation¡¡being¡¡with¡¡the¡¡synthesis¡¡of¡¡that¡¡which¡¡is¡¡given¡£
Moreover£»¡¡the¡¡poverty¡¡of¡¡the¡¡usual¡¡arguments¡¡which¡¡go¡¡to¡¡prove¡¡the
existence¡¡of¡¡a¡¡vast¡¡sphere¡¡of¡¡possibility£»¡¡of¡¡which¡¡all¡¡that¡¡is¡¡real
£¨every¡¡object¡¡of¡¡experience£©¡¡is¡¡but¡¡a¡¡small¡¡part£»¡¡is¡¡very
remarkable¡£¡¡¡¨All¡¡real¡¡is¡¡possible¡¨£»¡¡from¡¡this¡¡follows¡¡naturally£»
according¡¡to¡¡the¡¡logical¡¡laws¡¡of¡¡conversion£»¡¡the¡¡particular
proposition£º¡¡¡¨Some¡¡possible¡¡is¡¡real¡£¡¨¡¡Now¡¡this¡¡seems¡¡to¡¡be
equivalent¡¡to£º¡¡¡¨Much¡¡is¡¡possible¡¡that¡¡is¡¡not¡¡real¡£¡¨¡¡No¡¡doubt¡¡it¡¡does
seem¡¡as¡¡if¡¡we¡¡ought¡¡to¡¡consider¡¡the¡¡sum¡¡of¡¡the¡¡possible¡¡to¡¡be
greater¡¡than¡¡that¡¡of¡¡the¡¡real£»¡¡from¡¡the¡¡fact¡¡that¡¡something¡¡must¡¡be
added¡¡to¡¡the¡¡former¡¡to¡¡constitute¡¡the¡¡latter¡£¡¡But¡¡this¡¡notion¡¡of
adding¡¡to¡¡the¡¡possible¡¡is¡¡absurd¡£¡¡For¡¡that¡¡which¡¡is¡¡not¡¡in¡¡the¡¡sum
of¡¡the¡¡possible£»¡¡and¡¡consequently¡¡requires¡¡to¡¡be¡¡added¡¡to¡¡it£»¡¡is
manifestly¡¡impossible¡£¡¡In¡¡addition¡¡to¡¡accordance¡¡with¡¡the¡¡formal
conditions¡¡of¡¡experience£»¡¡the¡¡understanding¡¡requires¡¡a¡¡connection¡¡with
some¡¡perception£»¡¡but¡¡that¡¡which¡¡is¡¡connected¡¡with¡¡this¡¡perception¡¡is
real£»¡¡even¡¡although¡¡it¡¡is¡¡not¡¡immediately¡¡perceived¡£¡¡But¡¡that
another¡¡series¡¡of¡¡phenomena£»¡¡in¡¡complete¡¡coherence¡¡with¡¡that¡¡which
is¡¡given¡¡in¡¡perception£»¡¡consequently¡¡more¡¡than¡¡one¡¡all¡embracing
experience¡¡is¡¡possible£»¡¡is¡¡an¡¡inference¡¡which¡¡cannot¡¡be¡¡concluded¡¡from
the¡¡data¡¡given¡¡us¡¡by¡¡experience£»¡¡and¡¡still¡¡less¡¡without¡¡any¡¡data¡¡at
all¡£¡¡That¡¡which¡¡is¡¡possible¡¡only¡¡under¡¡conditions¡¡which¡¡are¡¡themselves
merely¡¡possible£»¡¡is¡¡not¡¡possible¡¡in¡¡any¡¡respect¡£¡¡And¡¡yet¡¡we¡¡can¡¡find
no¡¡more¡¡certain¡¡ground¡¡on¡¡which¡¡to¡¡base¡¡the¡¡discussion¡¡of¡¡the¡¡question
whether¡¡the¡¡sphere¡¡of¡¡possibility¡¡is¡¡wider¡¡than¡¡that¡¡of¡¡experience¡£
¡¡¡¡I¡¡have¡¡merely¡¡mentioned¡¡these¡¡questions£»¡¡that¡¡in¡¡treating¡¡of¡¡the
conception¡¡of¡¡the¡¡understanding£»¡¡there¡¡might¡¡be¡¡no¡¡omission¡¡of
anything¡¡that£»¡¡in¡¡the¡¡common¡¡opinion£»¡¡belongs¡¡to¡¡them¡£¡¡In¡¡reality£»
however£»¡¡the¡¡notion¡¡of¡¡absolute¡¡possibility¡¡£¨possibility¡¡which¡¡is
valid¡¡in¡¡every¡¡respect£©¡¡is¡¡not¡¡a¡¡mere¡¡conception¡¡of¡¡the¡¡understanding£»
which¡¡can¡¡be¡¡employed¡¡empirically£»¡¡but¡¡belongs¡¡to¡¡reason¡¡alone£»
which¡¡passes¡¡the¡¡bounds¡¡of¡¡all¡¡empirical¡¡use¡¡of¡¡the¡¡understanding¡£
We¡¡have£»¡¡therefore£»¡¡contented¡¡ourselves¡¡with¡¡a¡¡merely¡¡critical¡¡remark£»
leaving¡¡the¡¡subject¡¡to¡¡be¡¡explained¡¡in¡¡the¡¡sequel¡£
¡¡¡¡Before¡¡concluding¡¡this¡¡fourth¡¡section£»¡¡and¡¡at¡¡the¡¡same¡¡time¡¡the
system¡¡of¡¡all¡¡principles¡¡of¡¡the¡¡pure¡¡understanding£»¡¡it¡¡seems¡¡proper¡¡to
mention¡¡the¡¡reasons¡¡which¡¡induced¡¡me¡¡to¡¡term¡¡the¡¡principles¡¡of
modality¡¡postulates¡£¡¡This¡¡expression¡¡I¡¡do¡¡not¡¡here¡¡use¡¡in¡¡the¡¡sense
which¡¡some¡¡more¡¡recent¡¡philosophers£»¡¡contrary¡¡to¡¡its¡¡meaning¡¡with
mathematicians£»¡¡to¡¡whom¡¡the¡¡word¡¡properly¡¡belongs£»¡¡attach¡¡to¡¡it¡
that¡¡of¡¡a¡¡proposition£»¡¡namely£»¡¡immediately¡¡certain£»¡¡requiring
neither¡¡deduction¡¡nor¡¡proof¡£¡¡For¡¡if£»¡¡in¡¡the¡¡case¡¡of¡¡synthetical
propositions£»¡¡however¡¡evident¡¡they¡¡may¡¡be£»¡¡we¡¡accord¡¡to¡¡them¡¡without
deduction£»¡¡and¡¡merely¡¡on¡¡the¡¡strength¡¡of¡¡their¡¡own¡¡pretensions£»
unqualified¡¡belief£»¡¡all¡¡critique¡¡of¡¡the¡¡understanding¡¡is¡¡entirely
lost£»¡¡and£»¡¡as¡¡there¡¡is¡¡no¡¡want¡¡of¡¡bold¡¡pretensions£»¡¡which¡¡the¡¡common
belief¡¡£¨though¡¡for¡¡the¡¡philosopher¡¡this¡¡is¡¡no¡¡credential£©¡¡does¡¡not
reject£»¡¡the¡¡understanding¡¡lies¡¡exposed¡¡to¡¡every¡¡delusion¡¡and
conceit£»¡¡without¡¡the¡¡power¡¡of¡¡refusing¡¡its¡¡assent¡¡to¡¡those¡¡assertions£»
which£»¡¡though¡¡illegitimate£»¡¡demand¡¡acceptance¡¡as¡¡veritable¡¡axioms¡£
When£»¡¡therefore£»¡¡to¡¡the¡¡conception¡¡of¡¡a¡¡thing¡¡an¡¡a¡¡priori
determination¡¡is¡¡synthetically¡¡added£»¡¡such¡¡a¡¡proposition¡¡must
obtain£»¡¡if¡¡not¡¡a¡¡proof£»¡¡at¡¡least¡¡a¡¡deduction¡¡of¡¡the¡¡legitimacy¡¡of
its¡¡assertion¡£
¡¡¡¡The¡¡principles¡¡of¡¡modality¡¡are£»¡¡however£»¡¡not¡¡objectively
synthetical£»¡¡for¡¡the¡¡predicates¡¡of¡¡possibility£»¡¡reality£»¡¡and¡¡necessity
do¡¡not¡¡in¡¡the¡¡least¡¡augment¡¡the¡¡conception¡¡of¡¡that¡¡of¡¡which¡¡they¡¡are
affirmed£»¡¡inasmuch¡¡as¡¡they¡¡contribute¡¡nothing¡¡to¡¡the¡¡representation¡¡of
the¡¡object¡£¡¡But¡¡as¡¡they¡¡are£»¡¡nevertheless£»¡¡always¡¡synthetical£»¡¡they
are¡¡so¡¡merely¡¡subjectively¡£¡¡That¡¡is¡¡to¡¡say£»¡¡they¡¡have¡¡a¡¡reflective
power£»¡¡and¡¡apply¡¡to¡¡the¡¡conception¡¡of¡¡a¡¡thing£»¡¡of¡¡which£»¡¡in¡¡other
respects£»¡¡they¡¡affirm¡¡nothing£»¡¡the¡¡faculty¡¡of¡¡cognition¡¡in¡¡which¡¡the
conception¡¡originates¡¡and¡¡has¡¡its¡¡seat¡£¡¡So¡¡that¡¡if¡¡the¡¡conception
merely¡¡agree¡¡with¡¡the¡¡formal¡¡conditions¡¡of¡¡experience£»¡¡its¡¡object¡¡is
called¡¡possible£»¡¡if¡¡it¡¡is¡¡in¡¡connection¡¡with¡¡perception£»¡¡and
determined¡¡thereby£»¡¡the¡¡object¡¡is¡¡real£»¡¡if¡¡it¡¡is¡¡determined
according¡¡to¡¡conceptions¡¡by¡¡means¡¡of¡¡the¡¡connection¡¡of¡¡perceptions£»
the¡¡object¡¡is¡¡called¡¡necessary¡£¡¡The¡¡principles¡¡of¡¡modality¡¡therefore
predicate¡¡of¡¡a¡¡conception¡¡nothing¡¡more¡¡than¡¡the¡¡procedure¡¡of¡¡the
faculty¡¡of¡¡cognition¡¡which¡¡generated¡¡it¡£¡¡Now¡¡a¡¡postulate¡¡in
mathematics¡¡is¡¡a¡¡practical¡¡proposition¡¡which¡¡contains¡¡nothing¡¡but
the¡¡synthesis¡¡by¡¡which¡¡we¡¡present¡¡an¡¡object¡¡to¡¡ourselves£»¡¡and
produce¡¡the¡¡conception¡¡of¡¡it£»¡¡for¡¡example¡¡¡¡¨With¡¡a¡¡given¡¡line£»¡¡to
describe¡¡a¡¡circle¡¡upon¡¡a¡¡plane£»¡¡from¡¡a¡¡given¡¡point¡¨£»¡¡and¡¡such¡¡a
proposition¡¡does¡¡not¡¡admit¡¡of¡¡proof£»¡¡because¡¡the¡¡procedure£»¡¡which¡¡it
requires£»¡¡is¡¡exactly¡¡that¡¡by¡¡which¡¡alone¡¡it¡¡is¡¡possible¡¡to¡¡generate
the¡¡conception¡¡of¡¡such¡¡a¡¡figure¡£¡¡With¡¡the¡¡same¡¡right£»¡¡accordingly£»¡¡can
we¡¡postulate¡¡the¡¡principles¡¡of¡¡modality£»¡¡because¡¡they¡¡do¡¡not
augment*¡¡the¡¡conception¡¡of¡¡a¡¡thing¡¡but¡¡merely¡¡indicate¡¡the¡¡manner¡¡in
which¡¡it¡¡is¡¡connected¡¡with¡¡the¡¡faculty¡¡of¡¡cognition¡£
¡¡¡¡*When¡¡I¡¡think¡¡the¡¡reality¡¡of¡¡a¡¡thing£»¡¡I¡¡do¡¡really¡¡think¡¡more¡¡than
the¡¡possibility£»¡¡but¡¡not¡¡in¡¡the¡¡thing£»¡¡for¡¡that¡¡can¡¡never¡¡contain¡¡more
in¡¡reality¡¡than¡¡was¡¡contained¡¡in¡¡its¡¡complete¡¡possibility¡£¡¡But¡¡while
the¡¡notion¡¡of¡¡possibility¡¡is¡¡merely¡¡the¡¡notion¡¡of¡¡a¡¡position¡¡of
thing¡¡in¡¡relation¡¡to¡¡the¡¡understanding¡¡£¨its¡¡empirical¡¡use£©£»¡¡reality¡¡is
the¡¡conjunction¡¡of¡¡the¡¡thing¡¡with¡¡perception¡£
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡GENERAL¡¡REMARK¡¡ON¡¡THE¡¡SYSTEM¡¡OF¡¡PRINCIPLES¡£
¡¡¡¡It¡¡is¡¡very¡¡remarkable¡¡that¡¡we¡¡cannot¡¡perceive¡¡the¡¡possibility¡¡of¡¡a
thing¡¡from¡¡the¡¡category¡¡alone£»¡¡but¡¡must¡¡always¡¡have¡¡an¡¡intuition£»¡¡by
which¡¡to¡¡make¡¡evident¡¡the¡¡objective¡¡reality¡¡of¡¡the¡¡pure¡¡conception
of¡¡the¡¡understanding¡£¡¡Take£»¡¡for¡¡example£»¡¡the¡¡categories¡¡of¡¡relation¡£
How¡¡£¨1£©¡¡a¡¡thing¡¡can¡¡exist¡¡only¡¡as¡¡a¡¡subject£»¡¡and¡¡not¡¡as¡¡a¡¡mere
determination¡¡of¡¡other¡¡things£»¡¡that¡¡is£»¡¡can¡¡be¡¡substance£»¡¡or¡¡how
£¨2£©£»¡¡because¡¡something¡¡exists£»¡¡some¡¡other¡¡thing¡¡must¡¡exist£»
consequently¡¡how¡¡a¡¡thing¡¡can¡¡be¡¡a¡¡cause£»¡¡or¡¡how¡¡£¨3£©£»¡¡when¡¡several
things¡¡exist£»¡¡from¡¡the¡¡fact¡¡that¡¡one¡¡of¡¡these¡¡things¡¡exists£»¡¡some
consequence¡¡to¡¡the¡¡others¡¡follows£»¡¡and¡¡reciprocally£»¡¡and¡¡in¡¡this¡¡way¡¡a
community¡¡of¡¡substances¡¡can¡¡be¡¡possible¡¡¡are¡¡questions¡¡whose
solution¡¡cannot¡¡be¡¡obtained¡¡from¡¡mere¡¡conceptions¡£¡¡The¡¡very¡¡same¡¡is
the¡¡case¡¡with¡¡the¡¡other¡¡categories£»¡¡for¡¡example£»¡¡how¡¡a¡¡thing¡¡can¡¡be¡¡of
the¡¡same¡¡sort¡¡with¡¡many¡¡others£»¡¡that¡¡is£»¡¡can¡¡be¡¡a¡¡quantity£»¡¡and¡¡so¡¡on¡£
So¡¡long¡¡as¡¡we¡¡have¡¡not¡¡intuition¡¡we¡¡cannot¡¡know¡¡whether¡¡we¡¡do¡¡really
think¡¡an¡¡object¡¡by¡¡the¡¡categories£»¡¡and¡¡where¡¡an¡¡object¡¡can¡¡anywhere¡¡be
found¡¡to¡¡coh
СÌáʾ£º°´ »Ø³µ [Enter] ¼ü ·µ»ØÊéÄ¿£¬°´ ¡û ¼ü ·µ»ØÉÏÒ»Ò³£¬ °´ ¡ú ¼ü ½øÈëÏÂÒ»Ò³¡£
ÔÞÒ»ÏÂ
Ìí¼ÓÊéÇ©¼ÓÈëÊé¼Ü