"To this we reply, that these truths can only be known to be
_general_, not universal, if they depend upon experience alone.
Experience cannot bestow that universality which she herself cannot
have, and that necessity of which she has no comprehension. If these
doctrines are universally true, this universality flows from the
_ideas_ which we apply to our experience, and which are, as we have
seen, the real sources of necessary truth. How far these ideas can
communicate their universality and necessity to the results of
experience, it will hereafter be our business to consider. It will
then appear, that when the mind collects from observation truths of a
wide and comprehensive kind, which approach to the simplicity and
universality of the truths of pure science; she gives them this
character by throwing upon them the light of her own fundamental
ideas."--_Whewell_, Vol. I. p. 60.
Accordingly, Mr Whewell no sooner arrives at any truth which admits of
an unconditional positive statement--a statement defying all rational
contradiction--than he abstracts it from amongst the acquisitions of
experience, and throwing over it, we suppose, the light of these
fundamental ideas, pronounces it enrolled in the higher class of
universal and necessary truths. The first laws of motion, though
established through great difficulties against the most obstinate
preconceptions, and by the aid of repeated experiments, are, when
surveyed in their present perfect form, proclaimed to be, not
acquisitions of experience, but truths emanating from a higher and
more mysterious origin.[2]
[2] Necessary truths multiply on us very fast. "We
maintain," says Mr Whewell, "that this equality of
_mechanical action and reaction_ is one of the
principles which do not flow from, but regulate, our
experience. A mechanical pressure, not accompanied by an
equal and opposite pressure, can no more be given by
experience than two unequal right angles. With the
supposition of such inequalities, space ceases to be
space, form ceases to be form, matter ceases to be
matter." And again he says, "_That the parallelogram of
forces is a necessary truth_;" a law of motion of which
we surely can _conceive_ its opposite to be true. In
some of these instances Mr Whewell appears, by a
confusion of thought, to have given to the _physical
fact_ the character of necessity which resides in the
mathematical formula employed for its expression.
Whether a moving body would communicate motion to
another body--whether it would lose its own motion by so
doing--or what would be the result if a body were struck
by two other bodies moving in different directions--are
questions which, if they could be asked us prior to
experience, we could give no answer whatever to--which
we can easily conceive to admit of a quite different
answer to that which experience has taught us to give.
Public-domain text, read in full here on John Shaqi.
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