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Kant, Immanuel

"The Critique Of Pure Reason"

This regress cannot, therefore, be
called a regressus in indefinitum, as happened in the case of the
preceding cosmological idea, the regress in which proceeded from the
conditioned to the conditions not given contemporaneously and along
with it, but discoverable only through the empirical regress. We are
not, however, entitled to affirm of a whole of this kind, which is
divisible in infinitum, that it consists of an infinite number of
parts. For, although all the parts are contained in the intuition of
the whole, the whole division is not contained therein. The division
is contained only in the progressing decomposition- in the regress
itself, which is the condition of the possibility and actuality of the
series. Now, as this regress is infinite, all the members (parts) to
which it attains must be contained in the given whole as an aggregate.
But the complete series of division is not contained therein. For this
series, being infinite in succession and always incomplete, cannot
represent an infinite number of members, and still less a
composition of these members into a whole.
To apply this remark to space.


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