on sophistical refutations-第3章
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not merely synonymous but the same name…and to confute it from the
propositions granted; necessarily; without including in the
reckoning the original point to be proved; in the same respect and
relation and manner and time in which it was asserted。 A 'false
assertion' about anything has to be defined in the same way。 Some
people; however; omit some one of the said conditions and give a
merely apparent refutation; showing (e。g。) that the same thing is both
double and not double: for two is double of one; but not double of
three。 Or; it may be; they show that it is both double and not
double of the same thing; but not that it is so in the same respect:
for it is double in length but not double in breadth。 Or; it may be;
they show it to be both double and not double of the same thing and in
the same respect and manner; but not that it is so at the same time:
and therefore their refutation is merely apparent。 One might; with
some violence; bring this fallacy into the group of fallacies
dependent on language as well。
Those that depend on the assumption of the original point to be
proved; occur in the same way; and in as many ways; as it is
possible to beg the original point; they appear to refute because
men lack the power to keep their eyes at once upon what is the same
and what is different。
The refutation which depends upon the consequent arises because
people suppose that the relation of consequence is convertible。 For
whenever; suppose A is; B necessarily is; they then suppose also
that if B is; A necessarily is。 This is also the source of the
deceptions that attend opinions based on sense…perception。 For
people often suppose bile to be honey because honey is attended by a
yellow colour: also; since after rain the ground is wet in
consequence; we suppose that if the ground is wet; it has been
raining; whereas that does not necessarily follow。 In rhetoric
proofs from signs are based on consequences。 For when rhetoricians
wish to show that a man is an adulterer; they take hold of some
consequence of an adulterous life; viz。 that the man is smartly
dressed; or that he is observed to wander about at night。 There are;
however; many people of whom these things are true; while the charge
in question is untrue。 It happens like this also in real reasoning;
e。g。 Melissus' argument; that the universe is eternal; assumes that
the universe has not come to be (for from what is not nothing could
possibly come to be) and that what has come to be has done so from a
first beginning。 If; therefore; the universe has not come to be; it
has no first beginning; and is therefore eternal。 But this does not
necessarily follow: for even if what has come to be always has a first
beginning; it does not also follow that what has a first beginning has
come to be; any more than it follows that if a man in a fever be
hot; a man who is hot must be in a fever。
The refutation which depends upon treating as cause what is not a
cause; occurs whenever what is not a cause is inserted in the
argument; as though the refutation depended upon it。 This kind of
thing happens in arguments that reason ad impossible: for in these
we are bound to demolish one of the premisses。 If; then; the false
cause be reckoned in among the questions that are necessary to
establish the resulting impossibility; it will often be thought that
the refutation depends upon it; e。g。 in the proof that the 'soul'
and 'life' are not the same: for if coming…to…be be contrary to
perishing; then a particular form of perishing will have a
particular form of coming…to…be as its contrary: now death is a
particular form of perishing and is contrary to life: life; therefore;
is a coming to…be; and to live is to come…to…be。 But this is
impossible: accordingly; the 'soul' and 'life' are not the same。 Now
this is not proved: for the impossibility results all the same; even
if one does not say that life is the same as the soul; but merely says
that life is contrary to death; which is a form of perishing; and that
perishing has 'coming…to…be' as its contrary。 Arguments of that
kind; then; though not inconclusive absolutely; are inconclusive in
relation to the proposed conclusion。 Also even the questioners
themselves often fail quite as much to see a point of that kind。
Such; then; are the arguments that depend upon the consequent and
upon false cause。 Those that depend upon the making of two questions
into one occur whenever the plurality is undetected and a single
answer is returned as if to a single question。 Now; in some cases;
it is easy to see that there is more than one; and that an answer is
not to be given; e。g。 'Does the earth consist of sea; or the sky?' But
in some cases it is less easy; and then people treat the question as
one; and either confess their defeat by failing to answer the
question; or are exposed to an apparent refutation。 Thus 'Is A and
is B a man?' 'Yes。' 'Then if any one hits A and B; he will strike a
man' (singular);'not men' (plural)。 Or again; where part is good and
part bad; 'is the whole good or bad?' For whichever he says; it is
possible that he might be thought to expose himself to an apparent
refutation or to make an apparently false statement: for to say that
something is good which is not good; or not good which is good; is
to make a false statement。 Sometimes; however; additional premisses
may actually give rise to a genuine refutation; e。g。 suppose a man
were to grant that the descriptions 'white' and 'naked' and 'blind'
apply to one thing and to a number of things in a like sense。 For if
'blind' describes a thing that cannot see though nature designed it to
see; it will also describe things that cannot see though nature
designed them to do so。 Whenever; then; one thing can see while
another cannot; they will either both be able to see or else both be
blind; which is impossible。
6
The right way; then; is either to divide apparent proofs and
refutations as above; or else to refer them all to ignorance of what
'refutation' is; and make that our starting…point: for it is
possible to analyse all the aforesaid modes of fallacy into breaches
of the definition of a refutation。 In the first place; we may see if
they are inconclusive: for the conclusion ought to result from the
premisses laid down; so as to compel us necessarily to state it and
not merely to seem to compel us。 Next we should also take the
definition bit by bit; and try the fallacy thereby。 For of the
fallacies that consist in language; some depend upon a double meaning;
e。g。 ambiguity of words and of phrases; and the fallacy of like verbal
forms (for we habitually speak of everything as though it were a
particular substance)…while fallacies of combination and division
and accent arise because the phrase in question or the term as altered
is not the same as was intended。 Even this; however; should be the
same; just as the thing signified should be as well; if a refutation
or proof is to be effected; e。g。 if the point concerns a doublet; then
you should draw the conclusion of a 'doublet'; not of a 'cloak'。 For
the former conclusion also would be true; but it has not been
proved; we need a further question to show that 'doublet' means the
same thing; in order to satisfy any one who asks why you think your
point proved。
Fallacies that depend on Accident are clear cases of ignoratio
elenchi when once 'proof' has been defined。 For the same definition
ought to hold good of 'refutation' too; except that a mention of
'the contradictory' is here added: for a refutation is a proof of
the contradictory。 If; then; there is no proof as regards an
accident of anything; there is no refutation。 For sup