"Every art has one first principle, or general major premise, not
borrowed from science, that which enunciates the object aimed at, and
affirms it to be a desirable object. The builder's art assumes that it
is desirable to have buildings; architecture (as one of the fine arts)
that it is desirable to have them beautiful and imposing. The hygienic
and medical arts assume, the one that the preservation of health, the
other that the cure of disease, are fitting and desirable ends. These
are not propositions of science. Propositions of science assert a
matter of fact--an existence, a co-existence, a succession, or a
resemblance. The propositions now spoken of do not assert that
anything is, but enjoin or recommend that something should be. They
are a class by themselves. A proposition of which the predicate is
expressed by the words _ought_ or _should be_ is generically different
from one which is expressed by _is_ or _will be_."
And the logical relation of Art and Science, in other words, the manner
of framing the intermediate member between the general major premise of
Art and its imperative conclusion, is thus defined:--
"The Art [in any given case] proposes to itself an end to be attained,
defines the end, and hands it over to the Science. The Science
receives it, considers it as a phenomenon or effect to be studied, and
having investigated its causes and conditions, sends it back to Art
with a theorem of the causes and combinations by which it could be
produced. Art then examines these combinations of circumstances, and
according as any of them are or are not in human power, pronounces the
end attainable or not. The only one of the premises, therefore, which
Art supplies, is the original major premise, which asserts that the
attainment of the given end is desirable. Science, then, lends to Art
the proposition (obtained by a series of inductions or deductions)
that the performance of certain actions will attain the end. From
these premises Art concludes that the performance of these actions is
desirable, and finding it also practicable, converts the theorem into
a rule or precept.... The grounds, then, of every rule of Art are to
be found in the theorems of Science. An Art, or a body of Art,
consists of the rules, together with as much of the speculative
propositions as comprises the justification of these rules. The
complete Art of any matter includes a selection of such a portion from
the Science as is necessary to show on what conditions the effects,
which the Art aims at producing, depend. And Art in general consists
of the truths of Science arranged in the most convenient order for
practice, instead of the order which is most convenient for thought.
Science groups and arranges its truths so as to enable us to take in
at one view as much as possible of the general order of the universe.
Art, though it must assume the same general laws, follows them only
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