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shorter logic-第58部分
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physical science。 There the problem consists; in the first place; in the continual search for new
'elements'; new forces; new genera and species。 Or; in another direction; it seeks to show that all
bodies hitherto thought to be simple are compound: and modern physicists and chemists smile at
the ancients; who were satisfied with four elements; and these not simple。 Secondly; and on the
other hand; mere identity is made the chief question。 Thus electricity and chemical affinity are
regarded as the same; and even the organic processes of digestion and assimilation are looked
upon as a mere chemical operation。 Modern philosophy has often been nicknamed the Philosophy
of Identity。 But; as was already remarked (s。 103; note) it is precisely philosophy; and in particular
speculative logic; which lays bare the nothingness of the abstract; undifferentiated identity; known
to understanding: though it also undoubtedly urges its disciples not to rest at mere diversity; but to
ascertain the inner of all existence。
§ 119
Difference implicit is essential difference; the Positive and the negative: and that
is this way。 The Positive is the identical self…relation in such a way as not to be
the Negative; and the Negative is the different by itself so as not to be the
Positive。 Thus either has an existence of its own in proportion as it is not the
other。 The one is made visible in the other; and is only in so far as that other is。
Essential difference is therefore Opposition; according to which the different is
not confronted by any other but by its other。 That is; either of these two (Positive
and Negative) is stamped with a characteristic of its own only in its relation to the
other: the one is only reflected into itself as it is reflected into the other。 And so
with the other。 Either in this way is the other's own other。
Difference implicit or essential gives the maxim; Everything is essentially distinct;
or; as it has also been expressed; Of two opposite predicates the one only can be
assigned to anything; and there is no third possible。 This maxim of Contrast or
Opposition most expressly controverts the maxim of identity: the one says a thing
should be only self…relation; the other says it must be an opposite; a relation to its
other。 The native unintelligence of abstraction betrays itself by setting in
juxtaposition two contrary maxims; like these; as laws; without even so much as
comparing them。 The Maxim of Excluded Middle is the maxim of the definite
understanding; which would fain avoid contradiction; but in so doing falls into it。
A must be either +A or …A; it says。 It virtually declares in these words a third A
which is neither + nor …; and which at the same time is yet invested with + and …
characters。 。 。 。
。 。 。 Identity and Opposition are themselves opposed; and the maxim of
Opposition was taken even for that of Identity; in the shape of the principle of
Contradiction。 A notion; which possesses neither or both of two mutually
contradictory marks; e。g。 a quadrangular circle; is held to be logically false。 Now
though a multiangular circle and a rectilinear arc no less contradict this maxim;
geometers never hesitate to treat the circle as a polygon with rectilineal sides。 But
anything like a circle (that is to say its mere character or nominal definition) is still
no notion。 In the notion of a circle; centre and circumference are equally
essential; both marks belong to it; and yet centre and circumference are opposite
and contradictory to each other。
The conception of Polarity; which is so dominant in Physics; contains by
implication the more correct definition of Opposition。 But physics for its theory of
the laws of thought adheres to the ordinary logic; it might therefore well be
horrified in case it should ever work out the conception of Polarity; and get at the
thoughts which are implied in it。
§ 119n
(1) With the positive we return to identity; but in its higher truth as identical self…relation; and at the
same time with the note that it is not the negative。 The negative per se is the same as difference
itself。 The identical as such is primarily the yet uncharacterised: the positive on the other hand is
what is self…identical; but with the mark of antithesis to an other。 And the negative is difference as
such; characterised as not identity。 This is the difference of difference within its own self。
Positive and negative are supposed to express an absolute difference。 The two however are at
bottom the same: the name of either might be transferred to the other。 Thus; for example; debts
and assets are not two particular; self…subsisting species of property。 What is negative to the
debtor is positive to the creditor。 A way to the east is also a way to the west。 Positive and
negative are therefore intrinsically conditioned by one another; and are only in relation to each
other。 The north pole of the magnet cannot be without the south pole; and vice versa。 If we cut a
magnet in two; we have not a north pole in one piece; and a south pole in the other。 Similar; in
electricity; the positive and the negative are not two diverse and independent fluids。 In opposition;
the different is not confronted by an other; but by its other。
Usually we regard different things as unaffected by each other。 Thus we say: I am a human being;
and around me are air; water; animals; and all sorts of things。 Everything is thus put outside of
every other。 But the aim of philosophy is to banish indifference; and to ascertain the necessity of
things。 By that means the other is seen to stand over against its other。 Thus; for example; inorganic
nature is not to be considered merely something else than organic nature; but the necessary
antithesis of it。 Both are in essential relation to one another; and the one of the two is; only in so far
as it excludes the other from it; and thus relates itself thereto。 Nature in like manner is not without
mind; nor mind without nature。 An important step has been taken; when we cease in thinking to
use phrases like: Of course something else is also possible。 While we speak; we are still tainted
with contingency: and all true thinking; we have already said; is a thinking of necessity。
In modern physical science the opposition; first observed to exist in magnetism as polarity; has
come to be regarded as a universal law pervading the whole of nature。 This would be a real
scientific advance; if care were at the same time taken not to let mere variety revert without
explanation; as a valid category; side by side with opposition。 Thus at one time the colours are
regarded as in polar opposition to one another; and called complementary colours: at another time
they are looked at in their indifferent and merely quantitative difference of red; yellow; green; etc。
(2) Instead of speaking by the maxim of Excluded Middle (which is the maxim of abstract
understanding) we should rather say: Everything is opposite。 Neither in heaven nor in Earth; neither
in the world of mind nor of nature; is there anywhere such an abstract 'either…or' as the
understanding maintains。
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