If the mathematical order were a positive thing, if there were, immanent
in matter, laws comparable to those of our codes, the success of our
science would have in it something of the miraculous. What chances
should we have indeed of finding the standard of nature and of isolating
exactly, in order to determine their reciprocal relations, the very
variables which nature has chosen? But the success of a science of
mathematical form would be no less incomprehensible, if matter did not
already possess everything necessary to adapt itself to our formulae.
One hypothesis only, therefore, remains plausible, namely, that the
mathematical order is nothing positive, that it is the form toward which
a certain _interruption_ tends of itself, and that materiality consists
precisely in an interruption of this kind. We shall understand then why
our science is contingent, relative to the variables it has chosen,
relative to the order in which it has successively put the problems, and
why nevertheless it succeeds. It might have been, as a whole, altogether
different, and yet have succeeded. This is so, just because there is no
definite system of mathematical laws, at the base of nature, and because
mathematics in general represents simply the side to which matter
inclines. Put one of those little cork dolls with leaden feet in any
posture, lay it on its back, turn it up on its head, throw it into the
air: it will always stand itself up again, automatically. So likewise
with matter: we can take it by any end and handle it in any way, it will
always fall back into some one of our mathematical formulae, because it
is weighted with geometry.
* * * * *
Public-domain text, read in full here on John Shaqi.
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