But since each class of Polar Phenomena is thus referred to
an ulterior cause, of which we know no more than that it has
a polar character, it follows that _different_ Polarities
may result from the _same_ cause manifesting its polar
character under different aspects. Taking, for example, the
hypothesis of globular particles, if electricity result from
an action dependent upon the _poles_ of each globule,
magnetism may depend upon an action in the _equator_ of each
globule; or taking the supposition of transverse vibrations,
if polarized light result directly from such _vibrations_,
crystallization may have reference to the _axes_ of the
elasticity of the _medium_ by which the vibrations are
rendered transverse,--so far as the polar character only of
the phenomena is to be accounted for. I say this _may_ be
so, _in so far_ only as the polar character of the phenomena
is concerned; for whether the relation of {372} electricity
to magnetism, or of crystalline forces to light, can really
be explained by such hypotheses, remains to be determined by
the facts themselves. But since the first necessary feature
of the hypothesis is, that it shall give polarity, and since
an hypothesis which does this, may, by its mathematical
relations, give polarities of different kinds and in
different directions, any two co-existent kinds of polarity
may result from the same cause, manifesting itself in
various manners.
The conclusion to which we are led by these general
considerations is, that two co-existing classes of polar
phenomena _may_ be effects of the same cause. But those who
have studied such phenomena more deeply and attentively
have, in most or in all cases, arrived at the conviction
that the various kinds of Polarity in such cases _must_ be
connected and fundamentally identical. As this conviction
has exercised a great influence, both upon the discoveries
of new facts and upon the theoretical speculations of modern
philosophers, and has been put forward by some writers as a
universal principle of science, I will consider some of the
cases in which it has been thus applied.
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