If we turn to Galileo's pendulum and falling bodies, it is clear first
of all that he did not have in mind the discovery of some object, as was
the case in the discovery of Neptune. Did he, then, either contribute to
the proof of a general law or discover further characteristics of things
already known in a more general way? Wundt tells us that Galileo only
determined a little more exactly what he already knew, and that he did
this with but little labor or delay.
What, then, is the real difference between hypothesis and expectation?
If we compare Galileo's determination of the law of falling bodies with
Newton's test of his hypothesis of gravitation, we see that both
expectation and hypothesis were founded on observation and took the form
of mathematical formulæ. Each tended to confirm the general law
expressed in its formula, though there was, of course, much difference
in the time and labor required. If we compare the Copernican hypothesis
with Galileo's supposition concerning the pendulum, we find again that
they agree in regard to general purpose and method, and differ in the
difficulty of verification. If the experiment with the pendulum only
substituted exactness for inexactness, did the Copernican theory do
anything different in _kind_? It is true that the more exact statement
of the swing of the pendulum was expressed in quantitative form, but
quantitative statement is no criterion of either the presence or the
absence of the hypothesis.
Again, we may compare the pendulum with Kepler's laws. What was Kepler's
hypothesis, that the square of the periodic times of the several planets
are proportional to the cubes of their mean distances from the sun,
except a more exact formulation of facts which were already known in a
more general way? Wundt's position seems to be this: whenever a
supposition or suggestion can be tested readily, it should not be
classed as a hypothesis. This would make the distinction one of degree
rather than kind, and it does not appear how much labor we must expend,
or how long our supposition must evade our efforts to test it, before it
can win the title of hypothesis.
Public-domain text, read in full here on John Shaqi.
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