Now, in order to determine whether schemata can constitute the desired
link between the pure conceptions or categories and the manifold of
sense, it is necessary to follow closely this account of a schema.
Kant unquestionably in this passage treats as a mental image related
to a conception what really is, and what on his own theory ought to
have been, an individual object related to a conception, i. e. an
instance of it. In other words, he takes a mental image of an
individual for the individual itself.[7] On the one hand, he treats a
schema of a conception throughout as the thought of a procedure of the
imagination to present to the conception its _image_, and he opposes
schemata not to objects but to _images_; on the other hand, his
problem concerns subsumption under a conception, and what is subsumed
must be an instance of the conception, i. e. an individual object of
the kind in question.[8] Again, in asserting that if I place five
points one after another, . . . . . this is an image of the number
five, he is actually saying that an individual group of five points is
an image of a group of five in general.[9] Further, if the process of
schematizing is to enter--as it must--into knowledge of the phenomenal
world, what Kant here speaks of as the images related to a conception
must be taken to be individual instances of the conception, whatever
his language may be. For, in order to enter into knowledge, the
process referred to must be that by which _objects of experience_ are
constructed. Hence the passage should be interpreted as if throughout
there had been written for 'image' 'individual instance' or more
simply 'instance'. Again, the process of schematizing, although
_introduced_ simply as a process by which an individual is to be
subsumed indirectly under a conception, is assumed in the passage
quoted to be a process of _synthesis_. Hence we may say that the
process of schematizing is a process by which we combine the manifold
of perception into an individual whole in accordance with a
conception, and that the schema of a conception is the thought of the
rule of procedure on our part by which we combine the manifold in
accordance with the conception, and so bring the manifold under the
conception. Thus the schema of the conception of 100 is the thought of
a process of synthesis by which we combine say 10 groups of 10 units
into 100, and the schematizing of the conception of 100 is the process
by which we do so. Here it is essential to notice three points. In the
first place, the schema is a conception which relates not to the
reality apprehended but to us. It is the thought of a rule of
procedure on our part by which an instance of a conception is
constructed, and not the thought of a characteristic of the reality
constructed. For instance, the thought of a rule by which we can
combine points to make 100 is a thought which concerns us and not the
points; it is only the conception corresponding to this schema, viz.