A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. I — John Stuart Mill — John Shaqi
A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. I
John Stuart Mill · en
To substitute real examples for symbolical ones, the following are three
uniformities, or call them laws of nature: the law that air has weight,
the law that pressure on a fluid is propagated equally in all
directions, and the law that pressure in one direction, not opposed by
equal pressure in the contrary direction, produces motion, which does
not cease until equilibrium is restored. From these three uniformities
we should be able to predict another uniformity, namely, the rise of the
mercury in the Torricellian tube. This, in the stricter use of the
phrase, is not a law of nature. It is the result of laws of nature. It
is a _case_ of each and every one of the three laws: and is the only
occurrence by which they could all be fulfilled. If the mercury were not
sustained in the barometer, and sustained at such a height that the
column of mercury were equal in weight to a column of the atmosphere of
the same diameter; here would be a case, either of the air not pressing
upon the surface of the mercury with the force which is called its
weight, or of the downward pressure on the mercury not being propagated
equally in an upward direction, or of a body pressed in one direction
and not in the direction opposite, either not moving in the direction in
which it is pressed, or stopping before it had attained equilibrium. If
we knew, therefore, the three simple laws, but had never tried the
Torricellian experiment, we might _deduce_ its result from those laws.
The known weight of the air, combined with the position of the
apparatus, would bring the mercury within the first of the three
inductions; the first induction would bring it within the second, and
the second within the third, in the manner which we characterized in
treating of Ratiocination. We should thus come to know the more complex
uniformity, independently of specific experience, through our knowledge
of the simpler ones from which it results; though, for reasons which
will appear hereafter, _verification_ by specific experience would still
be desirable, and might possibly be indispensable.