should¡¡come¡¡about¡¡without¡¡taking¡¡into¡¡account¡¡the¡¡original¡¡point£»
and¡¡this¡¡is¡¡not¡¡the¡¡case¡¡with¡¡those¡¡arguments¡¡which¡¡depend¡¡upon
begging¡¡the¡¡original¡¡point¡£
¡¡¡¡¡¡¡¡Those¡¡that¡¡depend¡¡upon¡¡the¡¡consequent¡¡are¡¡a¡¡branch¡¡of¡¡Accident£º
for¡¡the¡¡consequent¡¡is¡¡an¡¡accident£»¡¡only¡¡it¡¡differs¡¡from¡¡the¡¡accident
in¡¡this£»¡¡that¡¡you¡¡may¡¡secure¡¡an¡¡admission¡¡of¡¡the¡¡accident¡¡in¡¡the
case¡¡of¡¡one¡¡thing¡¡only¡¡£¨e¡£g¡£¡¡the¡¡identity¡¡of¡¡a¡¡yellow¡¡thing¡¡and
honey¡¡and¡¡of¡¡a¡¡white¡¡thing¡¡and¡¡swan£©£»¡¡whereas¡¡the¡¡consequent¡¡always
involves¡¡more¡¡than¡¡one¡¡thing£º¡¡for¡¡we¡¡claim¡¡that¡¡things¡¡that¡¡are¡¡the
same¡¡as¡¡one¡¡and¡¡the¡¡same¡¡thing¡¡are¡¡also¡¡the¡¡same¡¡as¡¡one¡¡another£»¡¡and
this¡¡is¡¡the¡¡ground¡¡of¡¡a¡¡refutation¡¡dependent¡¡on¡¡the¡¡consequent¡£¡¡It¡¡is£»
however£»¡¡not¡¡always¡¡true£»¡¡e¡£g¡£¡¡suppose¡¡that¡¡and¡¡B¡¡are¡¡the¡¡same¡¡as¡¡C
per¡¡accidens£»¡¡for¡¡both¡¡'snow'¡¡and¡¡the¡¡'swan'¡¡are¡¡the¡¡same¡¡as¡¡something
white'¡£¡¡Or¡¡again£»¡¡as¡¡in¡¡Melissus'¡¡argument£»¡¡a¡¡man¡¡assumes¡¡that¡¡to
'have¡¡been¡¡generated'¡¡and¡¡to¡¡'have¡¡a¡¡beginning'¡¡are¡¡the¡¡same¡¡thing£»¡¡or
to¡¡'become¡¡equal'¡¡and¡¡to¡¡'assume¡¡the¡¡same¡¡magnitude'¡£¡¡For¡¡because¡¡what
has¡¡been¡¡generated¡¡has¡¡a¡¡beginning£»¡¡he¡¡claims¡¡also¡¡that¡¡what¡¡has¡¡a
beginning¡¡has¡¡been¡¡generated£»¡¡and¡¡argues¡¡as¡¡though¡¡both¡¡what¡¡has
been¡¡generated¡¡and¡¡what¡¡is¡¡finite¡¡were¡¡the¡¡same¡¡because¡¡each¡¡has¡¡a
beginning¡£¡¡Likewise¡¡also¡¡in¡¡the¡¡case¡¡of¡¡things¡¡that¡¡are¡¡made¡¡equal
he¡¡assumes¡¡that¡¡if¡¡things¡¡that¡¡assume¡¡one¡¡and¡¡the¡¡same¡¡magnitude
become¡¡equal£»¡¡then¡¡also¡¡things¡¡that¡¡become¡¡equal¡¡assume¡¡one¡¡magnitude£º
i¡£e¡£¡¡he¡¡assumes¡¡the¡¡consequent¡£¡¡Inasmuch£»¡¡then£»¡¡as¡¡a¡¡refutation
depending¡¡on¡¡accident¡¡consists¡¡in¡¡ignorance¡¡of¡¡what¡¡a¡¡refutation¡¡is£»
clearly¡¡so¡¡also¡¡does¡¡a¡¡refutation¡¡depending¡¡on¡¡the¡¡consequent¡£¡¡We
shall¡¡have¡¡further¡¡to¡¡examine¡¡this¡¡in¡¡another¡¡way¡¡as¡¡well¡£
¡¡¡¡Those¡¡fallacies¡¡that¡¡depend¡¡upon¡¡the¡¡making¡¡of¡¡several¡¡questions
into¡¡one¡¡consist¡¡in¡¡our¡¡failure¡¡to¡¡dissect¡¡the¡¡definition¡¡of
'proposition'¡£¡¡For¡¡a¡¡proposition¡¡is¡¡a¡¡single¡¡statement¡¡about¡¡a
single¡¡thing¡£¡¡For¡¡the¡¡same¡¡definition¡¡applies¡¡to¡¡'one¡¡single¡¡thing
only'¡¡and¡¡to¡¡the¡¡'thing'£»¡¡simply£»¡¡e¡£g¡£¡¡to¡¡'man'¡¡and¡¡to¡¡'one¡¡single¡¡man
only'¡¡and¡¡likewise¡¡also¡¡in¡¡other¡¡cases¡£¡¡If£»¡¡then£»¡¡a¡¡'single
proposition'¡¡be¡¡one¡¡which¡¡claims¡¡a¡¡single¡¡thing¡¡of¡¡a¡¡single¡¡thing£»¡¡a
'proposition'£»¡¡simply£»¡¡will¡¡also¡¡be¡¡the¡¡putting¡¡of¡¡a¡¡question¡¡of
that¡¡kind¡£¡¡Now¡¡since¡¡a¡¡proof¡¡starts¡¡from¡¡propositions¡¡and¡¡refutation
is¡¡a¡¡proof£»¡¡refutation£»¡¡too£»¡¡will¡¡start¡¡from¡¡propositions¡£¡¡If£»¡¡then£»¡¡a
proposition¡¡is¡¡a¡¡single¡¡statement¡¡about¡¡a¡¡single¡¡thing£»¡¡it¡¡is
obvious¡¡that¡¡this¡¡fallacy¡¡too¡¡consists¡¡in¡¡ignorance¡¡of¡¡what¡¡a
refutation¡¡is£º¡¡for¡¡in¡¡it¡¡what¡¡is¡¡not¡¡a¡¡proposition¡¡appears¡¡to¡¡be
one¡£¡¡If£»¡¡then£»¡¡the¡¡answerer¡¡has¡¡returned¡¡an¡¡answer¡¡as¡¡though¡¡to¡¡a
single¡¡question£»¡¡there¡¡will¡¡be¡¡a¡¡refutation£»¡¡while¡¡if¡¡he¡¡has
returned¡¡one¡¡not¡¡really¡¡but¡¡apparently£»¡¡there¡¡will¡¡be¡¡an¡¡apparent
refutation¡¡of¡¡his¡¡thesis¡£¡¡All¡¡the¡¡types¡¡of¡¡fallacy£»¡¡then£»¡¡fall¡¡under
ignorance¡¡of¡¡what¡¡a¡¡refutation¡¡is£»¡¡some¡¡of¡¡them¡¡because¡¡the
contradiction£»¡¡which¡¡is¡¡the¡¡distinctive¡¡mark¡¡of¡¡a¡¡refutation£»¡¡is
merely¡¡apparent£»¡¡and¡¡the¡¡rest¡¡failing¡¡to¡¡conform¡¡to¡¡the¡¡definition
of¡¡a¡¡proof¡£
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡7
¡¡¡¡The¡¡deception¡¡comes¡¡about¡¡in¡¡the¡¡case¡¡of¡¡arguments¡¡that¡¡depend¡¡on
ambiguity¡¡of¡¡words¡¡and¡¡of¡¡phrases¡¡because¡¡we¡¡are¡¡unable¡¡to¡¡divide
the¡¡ambiguous¡¡term¡¡£¨for¡¡some¡¡terms¡¡it¡¡is¡¡not¡¡easy¡¡to¡¡divide£»¡¡e¡£g¡£
'unity'£»¡¡'being'£»¡¡and¡¡'sameness'£©£»¡¡while¡¡in¡¡those¡¡that¡¡depend¡¡on
combination¡¡and¡¡division£»¡¡it¡¡is¡¡because¡¡we¡¡suppose¡¡that¡¡it¡¡makes¡¡no
difference¡¡whether¡¡the¡¡phrase¡¡be¡¡combined¡¡or¡¡divided£»¡¡as¡¡is¡¡indeed¡¡the
case¡¡with¡¡most¡¡phrases¡£¡¡Likewise¡¡also¡¡with¡¡those¡¡that¡¡depend¡¡on
accent£º¡¡for¡¡the¡¡lowering¡¡or¡¡raising¡¡of¡¡the¡¡voice¡¡upon¡¡a¡¡phrase¡¡is
thought¡¡not¡¡to¡¡alter¡¡its¡¡meaning¡with¡¡any¡¡phrase£»¡¡or¡¡not¡¡with¡¡many¡£
With¡¡those¡¡that¡¡depend¡¡on¡¡the¡¡of¡¡expression¡¡it¡¡is¡¡because¡¡of¡¡the
likeness¡¡of¡¡expression¡£¡¡For¡¡it¡¡is¡¡hard¡¡to¡¡distinguish¡¡what¡¡kind¡¡of
things¡¡are¡¡signified¡¡by¡¡the¡¡same¡¡and¡¡what¡¡by¡¡different¡¡kinds¡¡of
expression£º¡¡for¡¡a¡¡man¡¡who¡¡can¡¡do¡¡this¡¡is¡¡practically¡¡next¡¡door¡¡to
the¡¡understanding¡¡of¡¡the¡¡truth¡£¡¡A¡¡special¡¡reason¡¡why¡¡a¡¡man¡¡is¡¡liable
to¡¡be¡¡hurried¡¡into¡¡assent¡¡to¡¡the¡¡fallacy¡¡is¡¡that¡¡we¡¡suppose¡¡every
predicate¡¡of¡¡everything¡¡to¡¡be¡¡an¡¡individual¡¡thing£»¡¡and¡¡we¡¡understand
it¡¡as¡¡being¡¡one¡¡with¡¡the¡¡thing£º¡¡and¡¡we¡¡therefore¡¡treat¡¡it¡¡as¡¡a
substance£º¡¡for¡¡it¡¡is¡¡to¡¡that¡¡which¡¡is¡¡one¡¡with¡¡a¡¡thing¡¡or¡¡substance£»
as¡¡also¡¡to¡¡substance¡¡itself£»¡¡that¡¡'individually'¡¡and¡¡'being'¡¡are
deemed¡¡to¡¡belong¡¡in¡¡the¡¡fullest¡¡sense¡£¡¡For¡¡this¡¡reason£»¡¡too£»¡¡this¡¡type
of¡¡fallacy¡¡is¡¡to¡¡be¡¡ranked¡¡among¡¡those¡¡that¡¡depend¡¡on¡¡language£»¡¡in¡¡the
first¡¡place£»¡¡because¡¡the¡¡deception¡¡is¡¡effected¡¡the¡¡more¡¡readily¡¡when
we¡¡are¡¡inquiring¡¡into¡¡a¡¡problem¡¡in¡¡company¡¡with¡¡others¡¡than¡¡when¡¡we¡¡do
so¡¡by¡¡ourselves¡¡£¨for¡¡an¡¡inquiry¡¡with¡¡another¡¡person¡¡is¡¡carried¡¡on¡¡by
means¡¡of¡¡speech£»¡¡whereas¡¡an¡¡inquiry¡¡by¡¡oneself¡¡is¡¡carried¡¡on¡¡quite
as¡¡much¡¡by¡¡means¡¡of¡¡the¡¡object¡¡itself£©£»¡¡secondly¡¡a¡¡man¡¡is¡¡liable¡¡to¡¡be
deceived£»¡¡even¡¡when¡¡inquiring¡¡by¡¡himself£»¡¡when¡¡he¡¡takes¡¡speech¡¡as
the¡¡basis¡¡of¡¡his¡¡inquiry£º¡¡moreover¡¡the¡¡deception¡¡arises¡¡out¡¡of¡¡the
likeness¡¡£¨of¡¡two¡¡different¡¡things£©£»¡¡and¡¡the¡¡likeness¡¡arises¡¡out¡¡of¡¡the
language¡£¡¡With¡¡those¡¡fallacies¡¡that¡¡depend¡¡upon¡¡Accident£»¡¡deception
comes¡¡about¡¡because¡¡we¡¡cannot¡¡distinguish¡¡the¡¡sameness¡¡and¡¡otherness
of¡¡terms£»¡¡i¡£e¡£¡¡their¡¡unity¡¡and¡¡multiplicity£»¡¡or¡¡what¡¡kinds¡¡of
predicate¡¡have¡¡all¡¡the¡¡same¡¡accidents¡¡as¡¡their¡¡subject¡£¡¡Likewise
also¡¡with¡¡those¡¡that¡¡depend¡¡on¡¡the¡¡Consequent£º¡¡for¡¡the¡¡consequent¡¡is¡¡a
branch¡¡of¡¡Accident¡£¡¡Moreover£»¡¡in¡¡many¡¡cases¡¡appearances¡¡point¡¡to
this¡and¡¡the¡¡claim¡¡is¡¡made¡¡that¡¡if¡¡is¡¡inseparable¡¡from¡¡B£»¡¡so¡¡also¡¡is¡¡B
from¡¡With¡¡those¡¡that¡¡depend¡¡upon¡¡an¡¡imperfection¡¡in¡¡the¡¡definition
of¡¡a¡¡refutation£»¡¡and¡¡with¡¡those¡¡that¡¡depend¡¡upon¡¡the¡¡difference
between¡¡a¡¡qualified¡¡and¡¡an¡¡absolute¡¡statement£»¡¡the¡¡deception
consists¡¡in¡¡the¡¡smallness¡¡of¡¡the¡¡difference¡¡involved£»¡¡for¡¡we¡¡treat¡¡the
limitation¡¡to¡¡the¡¡particular¡¡thing¡¡or¡¡respect¡¡or¡¡manner¡¡or¡¡time¡¡as
adding¡¡nothing¡¡to¡¡the¡¡meaning£»¡¡and¡¡so¡¡grant¡¡the¡¡statement¡¡universally¡£
Likewise¡¡also¡¡in¡¡the¡¡case¡¡of¡¡those¡¡that¡¡assume¡¡the¡¡original¡¡point£»¡¡and
those¡¡of¡¡false¡¡cause£»¡¡and¡¡all¡¡that¡¡treat¡¡a¡¡number¡¡of¡¡questions¡¡as¡¡one£º
for¡¡in¡¡all¡¡of¡¡them¡¡the¡¡deception¡¡lies¡¡in¡¡the¡¡smallness¡¡of¡¡the
difference£º¡¡for¡¡our¡¡failure¡¡to¡¡be¡¡quite¡¡exact¡¡in¡¡our¡¡definition¡¡of
'premiss'¡¡and¡¡of¡¡'proof'¡¡is¡¡due¡¡to¡¡the¡¡aforesaid¡¡reason¡£
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡8
¡¡¡¡Since¡¡we¡¡know¡¡on¡¡how¡¡many¡¡points¡¡apparent¡¡syllogisms¡¡depend£»¡¡we¡¡know
also¡¡on¡¡how¡¡many¡¡sophistical¡¡syllogisms¡¡and¡¡refutations¡¡may¡¡depend¡£¡¡By
a¡¡sophistical¡¡refutation¡¡and¡¡syllogism¡¡I¡¡mean¡¡not¡¡only¡¡a¡¡syllogism
or¡¡refutation¡¡which¡¡appears¡¡to¡¡be¡¡valid¡¡but¡¡is¡¡not£»¡¡but¡¡also¡¡one
which£»¡¡though¡¡it¡¡is¡¡valid£»¡¡only¡¡appears¡¡to¡¡be¡¡appropriate¡¡to¡¡the¡¡thing
in¡¡question¡£¡¡These¡¡are¡¡those¡¡which¡¡fail¡¡to¡¡refute¡¡and¡¡prove¡¡people
to¡¡be¡¡ignorant¡¡according¡¡to¡¡the¡¡nature¡¡of¡¡the¡¡thing¡¡in¡¡question£»¡¡which
was¡¡the¡¡function¡¡of¡¡the¡¡art¡¡of¡¡examination¡£¡¡Now¡¡the¡¡art¡¡of¡¡examining
is¡¡a¡¡branch¡¡of¡¡dialectic£º¡¡and¡¡this¡¡may¡¡prove¡¡a¡¡false¡¡conclusion
because¡¡of¡¡the¡¡ignorance¡¡of¡¡the¡¡answerer¡£¡¡Sophistic¡¡refutations¡¡on¡¡the
other¡¡hand£»¡¡even¡¡though¡¡they¡¡prove¡¡the¡¡contradictory¡¡of¡¡his¡¡thesis£»¡¡do
not¡¡make¡¡clear¡¡whether¡¡he¡¡is¡¡ignorant£º¡¡for¡¡sophists¡¡entangle¡¡the
scientist¡¡as¡¡well¡¡with¡¡these¡¡arguments¡£
¡¡¡¡That¡¡we¡¡know¡¡them¡¡by¡¡the¡¡same¡¡line¡¡of¡¡inquiry¡¡is¡¡clear£º¡¡for¡¡the¡¡same
considerations¡¡which¡¡make¡¡it¡¡appear¡¡to¡¡an¡¡audience¡¡that¡¡the¡¡points
required¡¡for¡¡the¡¡proof¡¡were¡¡asked¡¡in¡¡the¡¡questions¡¡and¡¡that¡¡the
conclusion¡¡was¡¡proved£»¡¡would¡¡make¡¡the¡¡answerer¡¡think¡¡so¡¡as¡¡well£»¡¡so
that¡¡false¡¡proof¡¡will¡¡occur¡¡through¡¡all¡¡or¡¡some¡¡of¡¡these¡¡means£º¡¡for
what¡¡a¡¡man¡¡has¡¡not¡¡been¡¡asked¡¡but¡¡thinks¡¡he¡¡has¡¡granted£»¡¡he¡¡would¡¡also
grant¡¡if¡¡he¡¡were¡¡asked¡£¡¡Of¡¡course£»¡¡in¡¡some¡¡cases¡¡the¡¡moment¡¡we¡¡add¡¡the
missing¡¡question£»¡¡we¡¡also¡¡show¡¡up¡¡its¡¡falsity£»¡¡e¡£g¡£¡¡in¡¡fallacies
that¡¡depend¡¡on¡¡language¡¡and¡¡on¡¡solecism¡£¡¡If¡¡then£»¡¡fallacious¡¡proofs¡¡of
the¡¡contradictory¡¡of¡¡a¡¡thesis¡¡depend¡¡on¡¡their¡¡appearing¡¡to¡¡refute£»
it¡¡is¡¡clear¡¡that¡¡the¡¡considerations¡¡on¡¡which¡¡both¡¡proofs¡¡of¡¡false
conclusions¡¡and¡¡an¡¡apparent¡¡refutation¡¡depend¡¡must¡¡be¡¡the¡¡same¡¡in
number¡£¡¡Now¡¡an¡¡apparent¡¡refutation¡¡depends¡¡upon¡¡the¡¡elements
involved¡¡in¡¡a¡¡genuine¡¡one£º¡¡for¡¡the¡¡failure¡¡of¡¡one¡¡or¡¡other¡¡of¡¡these
must¡¡make¡¡the¡¡refutation¡¡merely¡¡apparent£»¡¡e¡£g¡£¡¡that¡¡which¡¡depends¡¡on
the¡¡failure¡¡of¡¡the¡¡conclusion¡¡to¡¡follow¡¡from¡¡the¡¡argument¡¡£¨the
argument¡¡ad¡¡impossible£©¡¡and¡¡that¡¡which¡¡treats¡¡two¡¡questions¡¡as¡¡one¡¡and
so¡¡depends¡¡upon¡¡a¡¡flaw¡¡in¡¡the¡¡premiss£»¡¡and¡¡that¡¡which¡¡depends¡¡on¡¡the
substitution¡¡of¡¡an¡¡accident¡¡for¡¡an¡¡essential¡¡attribute£»¡¡and¡a¡¡branch
of¡¡the¡¡last¡that¡¡which¡¡depends¡¡upon¡¡the¡¡consequent£º¡¡more¡¡over£»¡¡the
conclusion¡¡may¡¡follow¡¡not¡¡in¡¡fact¡¡but¡¡only¡¡verbally£º¡¡then£»¡¡instead
of¡¡proving¡¡the¡¡contradictory¡¡universally¡¡and¡¡in¡¡the¡¡same¡¡respect¡¡and
relation¡¡and¡¡manner£»¡¡the¡¡falla
СÌáʾ£º°´ »Ø³µ [Enter] ¼ü ·µ»ØÊéÄ¿£¬°´ ¡û ¼ü ·µ»ØÉÏÒ»Ò³£¬ °´ ¡ú ¼ü ½øÈëÏÂÒ»Ò³¡£
ÔÞÒ»ÏÂ
Ìí¼ÓÊéÇ©¼ÓÈëÊé¼Ü