Any book of Physics or of Chemistry will furnish scores of examples of
the method of Difference: such as Galileo's experiment to show that air
has weight, by first weighing a vessel filled with ordinary air, and
then filling it with condensed air and weighing it again; when the
increased weight can only be due to the greater quantity of air
contained. The melting-point of solids is determined by heating them
until they do melt (as silver at 1000° C., gold at 1250°, platinum at
2000°); for the only difference between bodies at the time of melting
and just before is the addition of so much heat. Similarly with the
boiling point of liquids. That the transmission of sound depends upon
the continuity of an elastic ponderable medium, is proved by letting a
clock strike in a vacuum (under a glass from which the air has been
withdrawn by an air pump), and standing upon a non-elastic pedestal:
when the clock be seen to strike, but makes only such a faint sound as
may be due to the imperfections of the vacuum and the pedestal.
The experiments by which the chemical analysis or synthesis of various
forms of matter is demonstrated are simple or compound applications of
this method of Difference, together with the quantitative mark of
causation (that cause and effect are equal); since the bodies resulting
from an analysis are equal in weight to the body analysed, and the body
resulting from a synthesis is equal in weight to the bodies synthesised.
That an electric current resolves water into oxygen and hydrogen may be
proved by inserting the poles of a galvanic battery in a vessel of
water; when this one change is followed by another, the rise of bubbles
from each pole and the very gradual decrease of the water. If the
bubbles are caught in receivers placed over them, it can be shown that
the joint weight of the two bodies of gas thus formed is equal to the
weight of the water that has disappeared; and that the gases are
respectively oxygen and hydrogen may then be shown by proving that they
have the properties of those gases according to further experiments by
the method of Difference; as (e.g.) that one of them is oxygen because
it supports combustion, etc.
When water was first decomposed by the electric current, there appeared
not only oxygen and hydrogen, but also an acid and an alkali. These
products were afterwards traced to impurities of the water and of the
operator's hands. Mill observes that in any experiment the effect, or
part of it, may be due, not to the supposed agent, but to the means
employed in introducing it. We should know not only the other conditions
of an experiment, but that the agent or change introduced is nothing
else than what it is supposed to be.
Public-domain text, read in full here on John Shaqi.
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