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
In a second class of cases, time will enter as a principal ground of
similarity. When we hear a clock pendulum beat time after time, at
equal intervals, and with a uniform sound, we confidently expect that
the stroke will continue to be repeated uniformly. A comet having
appeared several times at nearly equal intervals, we infer that it will
probably appear again at the end of another like interval. A man who
has returned home evening after evening for many years, and found his
house standing, may, on like grounds, expect that it will be standing
the next evening, and on many succeeding evenings. Even the continuous
existence of an object in an unaltered state, or the finding again of
that which we have hidden, is but a matter of inference depending on
experience.
A still larger and more complex class of cases involves the relations
of space, in addition to those of time and quality. Having observed
that every triangle drawn upon the diameter of a circle, with its
apex upon the circumference, apparently contains a right angle,
we may ascertain that all triangles in similar circumstances will
contain right angles. This is a case of pure space reasoning, apart
from circumstances of time or quality, and it seems to be governed by
different principles of reasoning. I shall endeavour to show, however,
that geometrical reasoning differs but in degree from that which
applies to other natural relations.
*The Relation of Cause and Effect.*
In a very large part of the scientific investigations which must be
considered, we deal with events which follow from previous events, or
with existences which succeed existences. Science, indeed, might arise
even were material nature a fixed and changeless whole. Endow mind
with the power to travel about, and compare part with part, and it
could certainly draw inferences concerning the similarity of forms, the
coexistence of qualities, or the preponderance of a particular kind of
matter in a changeless world. A solid universe, in at least approximate
equilibrium, is not inconceivable, and then the relation of cause and
effect would evidently be no more than the relation of before and
after. As nature exists, however, it is a progressive existence, ever
moving and changing as time, the great independent variable, proceeds.
Hence it arises that we must continually compare what is happening now
with what happened a moment before, and a moment before that moment,
and so on, until we reach indefinite periods of past time. A comet
is seen moving in the sky, or its constituent particles illumine
the heavens with their tails of fire. We cannot explain the present
movements of such a body without supposing its prior existence, with
a definite amount of energy and a definite direction of motion; nor
can we validly suppose that our task is concluded when we find that it
came wandering to our solar system through the unmeasured vastness of
surrounding space. Every event must have a cause, and that cause again
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