This milkiness arises from the presence of solid particles of mastic
diffused through the water; and yet, if the experiment has been properly
managed, a drop of the fluid may be spread out as before and examined
with the highest magnifying powers, and nothing can be seen of such
particles. So far as vision goes it might be a drop of pure water. Now
our best microscopes are able to show us anything solid which has a
diameter of 1/100000th of an inch, quite distinctly; and probably solid
opaque particles of much smaller size would make themselves apparent as
a turbidity or cloudiness. The particles of mastic must be therefore so
much smaller than this that they remain invisible. Hence it follows that
if water were made up of separate particles, or droplets, 1/1000000th of
an inch in diameter, and thus had the structure of a mass of very fine
shot, no microscope that has yet been constructed would enable us to see
even a trace of that structure. We could not obtain any direct evidence
of it.
47. =Suppositions or Hypotheses; their Uses and their Value.=
When our means of observation of any natural fact fail to carry us
beyond a certain point, it is perfectly legitimate, and often extremely
useful, to make a supposition as to what we should see, if we could
carry direct observation a step further. A supposition of this kind is
what is called a =hypothesis=, and the value of any hypothesis depends
upon the extent to which reasoning upon the assumption that it is true,
enables us to explain or account for the phenomena with which it is
concerned.
Thus, if a person is standing close behind you, and you suddenly feel a
blow on your back, you have no direct evidence of the cause of the blow;
and if you two were alone, you could not possibly obtain any; but you
immediately suppose that this person has struck you. Now that is a
hypothesis, and it is a legitimate hypothesis, first, because it
explains the fact; and, secondly, because no other explanation is
probable; probable meaning in accordance with the ordinary course of
nature. If your companion declared that you fancied you felt a blow, or
that some invisible spirit struck you, you would probably decline to
accept his explanation of the fact. You would say that both the
hypotheses by which he professed to explain the phenomenon were
extremely improbable; or in other words, that in the ordinary course of
nature fancies of this kind do not occur, nor spirits strike blows. In
fact, his hypotheses would be illegitimate, and yours would be
legitimate; and, in all probability, you would act upon your own. In
daily life, nine-tenths of our actions are based upon suppositions or
hypotheses, and our success or failure in practical affairs depends upon
the legitimacy of these hypotheses. You believe a man on the hypothesis
that he is always truthful; you give him pecuniary credit on the
hypothesis that he is solvent.
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