11. Though Mr. Mansel does not acknowledge any subjective conditions
of intuition besides Space and Time, he does recognize other _kinds
of necessity_, which I should equally refer to Fundamental Ideas;
because they are, no less than Space and Time, the foundations of
universal and necessary truths in science. Such are[313] the Principle
of Substance;--All Qualities exist in some subject: and the Principle
of Causality;-- Every Event has its Cause. To these Principles he
ascribes a "metaphysical necessity," the nature and grounds of which
he analyses with great acuteness. But what I have to observe is, that
whatever _differences_ may be pointed out between the _grounds_ of
the necessity, in this case of _metaphysical_ necessity, and in that
which Mr. Mansel calls _mathematical_ necessity which belongs to the
Conditions or Ideas of Space and of Time; still, it is not the less
true that the Ideas of Substance and of Cause, _do_ afford a foundation
for necessary truths, and that on these truths are built Sciences. That
every Change must have a Cause, with the corresponding Axioms,--that
the Cause is known by the Effect, and Measured by it,--is the basis
of the Science of Mechanics. That there is a Substance to which
qualities belong, with the corresponding Axiom,--that we cannot create
or destroy Substance, though we may alter Qualities by combining and
separating Substances,--is the basis of the Science of Chemistry. And
that this doctrine of the Indestructibility of Substance is a primary
axiomatic truth, is certain; both because it has been universally taken
for granted by men seeking for general truths; and because it is not
and cannot be proved by experience[314]. So that I have here, even
according to Mr. Mansel's own statement, other grounds besides Space
and Time, for necessary truths in Science.
12. Besides mathematical and metaphysical necessity, Mr. Mansel
recognizes also a _logical necessity_. I will not pretend to say
that this kind of necessity is exactly represented by any of those
Fundamental Ideas which are the basis of Science; but yet I think it
will be found that this logical necessity mainly operates through
the attribution of Names to things; and that a large portion of its
cogency arises from these maxims,--that names must be so imposed that
General Propositions shall be possible,--and so that Reasoning shall be
possible. Now these maxims are really the basis of Natural History,
and are so stated in the _Philosophy of the Inductive Sciences_. The
former maxim is the principle of all Classification; and though we have
no syllogisms in Natural History, the apparatus of _genus_, _species_,
_differentia_, and the like, which was introduced in the analysis of
syllogistic reasoning, is really more constantly applied in Natural
History than in any other science.
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