"A case may be conceived of an intermediate character between the
perfection of science, and this its extreme imperfection. It may
happen that the greater causes, those on which the principal part of
the phenomena depends, are within the reach of observation and
measurement; so that, if no other causes intervened, a complete
explanation could be given, not only of the phenomenon in general,
but of all the variations and modifications which it admits of. But
inasmuch as other, perhaps many other, causes, separately
insignificant in their effects, co-operate or conflict in many or in
all cases with those greater causes, the effect, accordingly,
presents more or less of aberration from what would be produced by
the greater causes alone. Now if these minor causes are not so
constantly accessible, or not accessible at all, to accurate
observation, the principal mass of the effect may still, as before,
be accounted for, and even predicted; but there will be variations
and modifications which we shall not be competent to explain
thoroughly, and our predictions will not be fulfilled accurately, but
only approximately.
"It is thus, for example, with the theory of the Tides. . . . . And
this is what is or ought to be meant by those who speak of sciences
which are not exact sciences. Astronomy was once a science, without
being an exact science. It could not become exact until not only the
general course of the planetary motions, but the perturbations also,
were accounted for and referred to their causes. It has become an
exact science because its phenomena have been brought under laws
comprehending the whole of the causes by which the phenomena are
influenced, whether in a great or only in a trifling degree, whether
in all or only in some cases, and assigning to each of those causes
the share of effect that really belongs to it. . . . . The science of
human nature falls far short of the standard of exactness now
realized in Astronomy; but there is no reason that it should not be
as much a science as Tidology is, or as Astronomy was when its
calculations had only mastered the main phenomena, but not the
perturbations."]
Public-domain text, read in full here on John Shaqi.
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