This conception was not without grandeur; it was seductive, and many
among us have not finally renounced it; they know that one will attain
the ultimate elements of things only by patiently disentangling the
complicated skein that our senses give us; that it is necessary to
advance step by step, neglecting no intermediary; that our fathers were
wrong in wishing to skip stations; but they believe that when one shall
have arrived at these ultimate elements, there again will be found the
majestic simplicity of celestial mechanics.
Neither has this conception been useless; it has rendered us an
inestimable service, since it has contributed to make precise the
fundamental notion of the physical law.
I will explain myself; how did the ancients understand law? It was for
them an internal harmony, static, so to say, and immutable; or else it
was like a model that nature tried to imitate. For us a law is something
quite different; it is a constant relation between the phenomenon of
to-day and that of to-morrow; in a word, it is a differential equation.
Behold the ideal form of physical law; well, it is Newton's law which
first clothed it forth. If then one has acclimated this form in physics,
it is precisely by copying as far as possible this law of Newton, that
is by imitating celestial mechanics. This is, moreover, the idea I have
tried to bring out in Chapter VI.
_The Physics of the Principles._--Nevertheless, a day arrived when the
conception of central forces no longer appeared sufficient, and this is
the first of those crises of which I just now spoke.
Public-domain text, read in full here on John Shaqi.
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