To speak only of physics in the first place, this science presents
different characteristics from those of astronomy. The speculative
perfection of a science is measured by two correlative although
distinct considerations, by the more or less complete co-ordination
of the laws, and by the more or less accurate prevision of facts.
Now, under one aspect or the other, even supposing that physics
should make very important progress, it will always remain very much
behind astronomy. Indeed, the celestial science presents an almost
perfect unity; physics, on the contrary, is composed of several
branches which are almost isolated from one another, and each one
taken by itself cannot even reduce all its laws to a more general
law. And, as to the second point, while a very small number of direct
observations allows of rational and exact prevision of the whole of the
celestial phenomena, physics only renders possible predictions which
are generally founded upon experience at once immediate and within
easy reach. Undoubtedly some parts of physics allow of the use of
mathematical analysis (we shall see presently under what conditions).
Nevertheless, the part played by experience is infinitely greater in
physics than in astronomy. So it is in the former science that we first
meet with the inductive method, which is afterwards used and developed
in the other positive sciences. Although deduction continues to fulfil
an important part, it already ceases to predominate here, because, says
Comte, in it the institution of true principles begins to become more
troublesome than the development of accurate consequences.[134]
The inductive method implies these essential processes; 1∘ observation
properly so called, that is to say the direct examination of the
phenomenon such as it appears naturally: 2∘ experimenting, which is
usually defined as the examination of the phenomenon more or less
modified by artificial circumstances instituted by us in order to study
it better; 3∘ comparison, that is to say the gradual consideration of
a succession of analogous cases, in which the phenomenon becomes more
and more simple. Of these three processes astronomy only makes use of
the first. Physics cannot use the third which is reserved for biology;
but it avails itself of the first and institutes the second. This is a
fresh confirmation of the law established by Comte: to the complexity
and increasing difficulty of the sciences, corresponds an increasing
development of the processes of the positive method applicable to them.
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