Another thing: whence does space get its quantitative character? It
comes from the rôle which the series of muscular sensations play in its
genesis. These are series which may _repeat themselves_, and it is from
their repetition that number comes; it is because they can repeat
themselves indefinitely that space is infinite. And finally we have
seen, at the end of section 3, that it is also because of this that
space is relative. So it is repetition which has given to space its
essential characteristics; now, repetition supposes time; this is enough
to tell that time is logically anterior to space.
7. _Rôle of the Semicircular Canals_
I have not hitherto spoken of the rôle of certain organs to which the
physiologists attribute with reason a capital importance, I mean the
semicircular canals. Numerous experiments have sufficiently shown that
these canals are necessary to our sense of orientation; but the
physiologists are not entirely in accord; two opposing theories have
been proposed, that of Mach-Delage and that of M. de Cyon.
M. de Cyon is a physiologist who has made his name illustrious by
important discoveries on the innervation of the heart; I can not,
however, agree with his ideas on the question before us. Not being a
physiologist, I hesitate to criticize the experiments he has directed
against the adverse theory of Mach-Delage; it seems to me, however, that
they are not convincing, because in many of them the _total_ pressure
was made to vary in one of the canals, while, physiologically, what
varies is the _difference_ between the pressures on the two extremities
of the canal; in others the organs were subjected to profound lesions,
which must alter their functions.
Besides, this is not important; the experiments, if they were
irreproachable, might be convincing against the old theory. They would
not be convincing _for_ the new theory. In fact, if I have rightly
understood the theory, my explaining it will be enough for one to
understand that it is impossible to conceive of an experiment confirming
it.
The three pairs of canals would have as sole function to tell us that
space has three dimensions. Japanese mice have only two pairs of canals;
they believe, it would seem, that space has only two dimensions, and
they manifest this opinion in the strangest way; they put themselves in
a circle, and, so ordered, they spin rapidly around. The lampreys,
having only one pair of canals, believe that space has only one
dimension, but their manifestations are less turbulent.
It is evident that such a theory is inadmissible. The sense-organs are
designed to tell us of _changes_ which happen in the exterior world. We
could not understand why the Creator should have given us organs
destined to cry without cease: Remember that space has three dimensions,
since the number of these three dimensions is not subject to change.
Public-domain text, read in full here on John Shaqi.
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