Evolution; Knowledge, Theory of; Philosophy and religion
Again, Light, Heat, Gravitation and all central forces, vary inversely
as the squares of the distances; and physicists in their investigations
assume that the units of matter act upon each other according to the
same law—an assumption which indeed they are obliged to make; since this
law is not simply an empirical one, but one deducible mathematically
from the relations of space—one of which the negation is inconceivable.
But now, in any mass of matter which is in internal equilibrium, what
must follow? The attractions and repulsions of the constituent atoms are
balanced. Being balanced, the atoms remain at their present distances;
and the mass of matter neither expands nor contracts. But if the forces
with which two adjacent atoms attract and repel each other both vary
inversely as the squares of the distances, as they must; and if they are
in equilibrium at their present distances, as they are; then,
necessarily, they will be in equilibrium at all other distances. Let the
atoms be twice as far apart, and their attractions and repulsions will
both be reduced to one fourth of their present amounts. Let them be
brought within half the distance, and their attractions and repulsions
will both be quadrupled. Whence it follows that this matter will as
readily as not assume any other density; and can offer no resistance to
any external agents. Thus we are obliged to say that these antagonist
molecular forces do not both vary inversely as the squares of the
distances, which is unthinkable; or else that matter does not possess
that attribute of resistance by which alone we distinguish it from empty
space, which is absurd.
While then it is impossible to form any idea of Force in itself, it is
equally impossible to comprehend either its mode of exercise or its law
of variation.
* * * * *
§ 19. Turning now from the outer to the inner world, let us contemplate,
not the agencies to which we ascribe our subjective modifications, but
the subjective modifications themselves. These constitute a series.
Difficult as we find it distinctly to separate and individualize them,
it is nevertheless beyond question that our states of consciousness
occur in succession.
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