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useful in strengthening our conviction; by uniting in one point the
momenta of the arguments。
  We have seen that everything which the understanding draws from
itself; without borrowing from experience; it nevertheless possesses
only for the behoof and use of experience。 The principles of the
pure understanding; whether constitutive a priori (as the mathematical
principles); or merely regulative (as the dynamical); contain
nothing but the pure schema; as it were; of possible experience。 For
experience possesses its unity from the synthetical unity which the
understanding; originally and from itself; imparts to the synthesis of
the imagination in relation to apperception; and in a priori
relation to and agreement with which phenomena; as data for a possible
cognition; must stand。 But although these rules of the understanding
are not only a priori true; but the very source of all truth; that is;
of the accordance of our cognition with objects; and on this ground;
that they contain the basis of the possibility of experience; as the
ensemble of all cognition; it seems to us not enough to propound
what is true… we desire also to be told what we want to know。 If;
then; we learn nothing more by this critical examination than what
we should have practised in the merely empirical use of the
understanding; without any such subtle inquiry; the presumption is
that the advantage we reap from it is not worth the labour bestowed
upon it。 It may certainly be answered that no rash curiosity is more
prejudicial to the enlargement of our knowledge than that which must
know beforehand the utility of this or that piece of information which
we seek; before we have entered on the needful investigations; and
before one could form the least conception of its utility; even though
it were placed before our eyes。 But there is one advantage in such
transcendental inquiries which can be made prehensible to the
dullest and most reluctant learner… this; namely; that the
understanding which is occupied merely with empirical exercise; and
does not reflect on the sources of its own cognition; may exercise its
functions very well and very successfully; but is quite unable to do
one thing; and that of very great importance; to determine; namely;
the bounds that limit its employment; and to know what lies within
or without its own sphere。 This purpose can be obtained only by such
profound investigations as we have instituted。 But if it cannot
distinguish whether certain questions lie within its horizon or not;
it can never be sure either as to its claims or possessions; but
must lay its account with many humiliating corrections; when it
transgresses; as it unavoidably will; the limits of its own territory;
and loses itself in fanciful opinions and blinding illusions。
  That the understanding; therefore; cannot make of its a priori
principles; or even of its conceptions; other than an empirical use;
is a proposition which leads to the most important results。 A
transcendental use is made of a conception in a fundamental
proposition or principle; when it is referred to things in general and
considered as things in themselves; an empirical use; when it is
referred merely to phenomena; that is; to objects of a possible
experience。 That the latter use of a conception is the only admissible
one is evident from the reasons following。 For every conception are
requisite; firstly; the logical form of a conception (of thought)
general; and; secondly; the possibility of presenting to this an
object to which it may apply。 Failing this latter; it has no sense;
and utterly void of content; although it may contain the logical
function for constructing a conception from certain data。 Now;
object cannot be given to a conception otherwise than by intuition;
and; even if a pure intuition antecedent to the object is a priori
possible; this pure intuition can itself obtain objective validity
only from empirical intuition; of which it is itself but the form。 All
conceptions; therefore; and with them all principles; however high the
degree of their a priori possibility; relate to empirical
intuitions; that is; to data towards a possible experience。 Without
this they possess no objective validity; but are mere play of
imagination or of understanding with images or notions。 Let us take;
for example; the conceptions of mathematics; and first in its pure
intuitions。 〃Space has three dimensions〃… 〃Between two points there
can be only one straight line;〃 etc。 Although all these principles;
and the representation of the object with which this science
occupies itself; are generated in the mind entirely a priori; they
would nevertheless have no significance if we were not always able
to exhibit their significance in and by means of phenomena
(empirical objects)。 Hence it is requisite that an abstract conception
be made sensuous; that is; that an object corresponding to it in
intuition be forthing; otherwise the conception remains; as we say;
without sense; that is; without meaning。 Mathematics fulfils this
requirement by the construction of the figure; which is a phenomenon
evident to the senses。 The same science finds support and significance
in number; this in its turn finds it in the fingers; or in counters;
or in lines and points。 The conception itself is always produced a
priori; together with the synthetical principles or formulas from such
conceptions; but the proper employment of them; and their
application to objects; can exist nowhere but in experience; the
possibility of which; as regards its form; they contain a priori。
  That this is also the case with all of the categories and the
principles based upon them is evident from the fact that we cannot
render intelligible the possibility of an object corresponding to them
without having recourse to the conditions of sensibility;
consequently; to the form of phenomena; to which; as their only proper
objects; their use must therefore be confined; inasmuch as; if this
condition is removed; all significance; that is; all relation to an
object; disappears; and no example can be found to make it
prehensible what sort of things we ought to think under such
conceptions。
  The conception of quantity cannot be explained except by saying that
it is the determination of a thing whereby it can be cogitated how
many times one is placed in it。 But this 〃how many times〃 is based
upon successive repetition; consequently upon time and the synthesis
of the homogeneous therein。 Reality; in contradistinction to negation;
can be explained only by cogitating a time which is either filled
therewith or is void。 If I leave out the notion of permanence (which
is existence in all time); there remains in the conception of
substance nothing but the logical notion of subject; a notion of which
I endeavour to realize by representing to myself something that can
exist only as a subject。 But not only am I perfectly ignorant of any
conditions under which this logical prerogative can belong to a thing;
I can make nothing out of the notion; and draw no inference from it;
because no object to which to apply the conception is determined;
and we consequently do not know whether it has any meaning at all。
In like manner; if I leave out the notion of time; in which
something follows upon some other thing in conformity with a rule; I
can find nothing in the pure category; except that there is a
something of such a sort that from it a conclusion may be drawn as
to the existence of some other thing。 But in this case it would not
only be impossible to distinguish between a cause and an effect;
but; as this power to draw conclusions requires conditions of which
I am quite ignorant; the conception is not determined as to the mode
in which it ought to apply to an object。 The so…called principle:
〃Everything that is contingent has a cause;〃 es with a gravity
and self…assumed authority that seems to require no support from
without。 But; I ask; what is meant by contingent? The answer is that
the non…existence of which is possible。 But I should like very well to
know by what means this possibility of non…existence is to be
cognized; if we do not represent to ourselves a successi

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