Let _a_, _b_, _c_, be three such posits. We cannot represent them in
space without placing them in a certain order, as _a_, _b_, _c_. But
Kant distinguishes between the forms of sensibility and the concepts
of reason. A dream in which everything happens at haphazard would be
an experience subject to the form of sensibility and only partially
subject to the concepts of reason. It is partially subject to the
concepts of reason because, although there is no order of sequence,
still at any given time there is order. Perception of a thing as in
space is a form of sensibility, the perception of an order is a concept
of reason.
We must, therefore, in order to get at that process which Kant supposes
to be constitutive of an ordered experience imagine the posits as in
space without order.
As we know them they must be in some order, _abc_, _bca_, _cab_, _acb_,
_cba_, _bac_, one or another.
To represent them as having no order conceive all these different
orders as equally existing. Introduce the conception of
alternativity—let us suppose that the order _abc_, and _bac_, for
example, exist equally, so that we cannot say about _a_ that it comes
before or after _b_. This would correspond to a sudden and arbitrary
change of _a_ into _b_ and _b_ into _a_, so that, to use Kant’s words,
it would be possible to call one thing by one name at one time and at
another time by another name.
In an experience of this kind we have a kind of chaos, in which no
order exists; it is a manifold not subject to the concepts of reason.
Now is there any process by which order can be introduced into such a
manifold—is there any function of consciousness in virtue of which an
ordered experience could arise?
In the precise condition in which the posits are, as described above,
it does not seem to be possible. But if we imagine a duality to exist
in the manifold, a function of consciousness can be easily discovered
which will produce order out of no order.
Let us imagine each posit, then, as having, a dual aspect. Let _a_ be
1_a_ in which the dual aspect is represented by the combination of
symbols. And similarly let _b_ be 2_b_, _c_ be 3_c_, in which 2 and _b_
represent the dual aspects of _b_, 3 and _c_ those of _c_.
Since _a_ can arbitrarily change into _b_, or into _c_, and so on, the
particular combinations written above cannot be kept. We have to assume
the equally possible occurrence of form such as 2_a_, 2_b_, and so on;
and in order to get a representation of all those combinations out of
which any set is alternatively possible, we must take every aspect with
every aspect. We must, that is, have every letter with every number.
Let us now apply the method of space representation.
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