The principles of science : $b a treatise on logic and scientific methodJevons, William Stanley
Philosophy
The principles of science : $b a treatise on logic and scientific method
Jevons, William Stanley
Logic; Science -- Methodology
When we come to inquire precisely what phenomenon it is that we thus
so minutely measure, we meet insurmountable difficulties. Newton
distinguished time according as it was *absolute* or *apparent* time,
in the following words:--“Absolute, true, and mathematical time,
of itself and from its own nature, flows equably without regard to
anything external, and by another name is called *duration*; relative,
apparent and common time, is some sensible and external measure of
duration by the means of motion.”[213] Though we are perhaps obliged to
assume the existence of a uniformly increasing quantity which we call
time, yet we cannot feel or know abstract and absolute time. Duration
must be made manifest to us by the recurrence of some phenomenon. The
succession of our own thoughts is no doubt the first and simplest
measure of time, but a very rude one, because in some persons and
circumstances the thoughts evidently flow with much greater rapidity
than in other persons and circumstances. In the absence of all
other phenomena, the interval between one thought and another would
necessarily become the unit of time, but the most cursory observations
show that there are changes in the outward world much better fitted by
their constancy to measure time than the change of thoughts within us.
[213] *Principia*, bk. i. *Scholium to Definitions*. Translated by
Motte, vol. i. p. 9. See also p. 11.
The earth, as I have already said, is the real clock of the astronomer,
and is practically assumed as invariable in its movements. But on
what ground is it so assumed? According to the first law of motion,
every body perseveres in its state of rest or of uniform motion in
a right line, unless it is compelled to change that state by forces
impressed thereon. Rotatory motion is subject to a like condition,
namely, that it perseveres uniformly unless disturbed by extrinsic
forces. Now uniform motion means motion through equal spaces in equal
times, so that if we have a body entirely free from all resistance
or perturbation, and can measure equal spaces of its path, we have a
perfect measure of time. But let it be remembered that this law has
never been absolutely proved by experience; for we cannot point to any
body, and say that it is wholly unresisted or undisturbed; and even if
we had such a body, we should need some independent standard of time
to ascertain whether its motion was really uniform. As it is in moving
bodies that we find the best standard of time, we cannot use them to
prove the uniformity of their own movements, which would amount to a
*petitio principii*. Our experience comes to this, that when we examine
and compare the movements of bodies which seem to us nearly free from
disturbance, we find them giving nearly harmonious measures of time.
If any one body which seems to us to move uniformly is not doing so,
but is subject to fits and starts unknown to us, because we have no
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