A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. II
John Stuart Mill · en
by observation of the earth, nor had any peculiar reference to it.
If, then, the truth respecting the figure of the earth is not an
induction, why should the truth respecting the figure of the earth's
orbit be so? The two cases only differ in this, that the form of the
orbit was not, like the form of the earth itself, deduced by
ratiocination from facts which were marks of ellipticity, but was got at
by boldly guessing that the path was an ellipse, and finding afterwards,
on examination, that the observations were in harmony with the
hypothesis. According to Dr. Whewell, however, this process of guessing
and verifying our guesses is not only induction, but the whole of
induction: no other exposition can be given of that logical operation.
That he is wrong in the latter assertion, the whole of the preceding
book has, I hope, sufficiently proved; and that the process by which the
ellipticity of the planetary orbits was ascertained, is not induction at
all, was attempted to be shown in the second chapter of the same
book.[1] We are now, however, prepared to go more into the heart of the
matter than at that earlier period of our inquiry, and to show, not
merely what the operation in question is not, but what it is.
§ 4. We observed, in the second chapter, that the proposition "the earth
moves in an ellipse," so far as it only serves for the colligation or
connecting together of actual observations, (that is, as it only affirms
that the observed positions of the earth may be correctly represented by
as many points in the circumference of an imaginary ellipse,) is not an
induction, but a description: it is an induction, only when it affirms
that the intermediate positions, of which there has been no direct
observation, would be found to correspond to the remaining points of the
same elliptic circumference. Now, though this real induction is one
thing, and the description another, we are in a very different condition
for making the induction before we have obtained the description, and
after it. For inasmuch as the description, like all other descriptions,
contains the assertion of a resemblance between the phenomenon described
and something else; in pointing out something which the series of
observed places of a planet resembles, it points out something in which
the several places themselves agree. If the series of places correspond
to as many points of an ellipse, the places themselves agree in being
situated in that ellipse. We have, therefore, by the same process which
gave us the description, obtained the requisites for an induction by the
Method of Agreement. The successive observed places of the earth being
considered as effects, and its motion as the cause which produces them,
we find that those effects, that is, those places, agree in the
circumstance of being in an ellipse. We conclude that the remaining
effects, the places which have not been observed, agree in the same