62. Mr. Mill himself indeed, notwithstanding that he slights Bacon's
injunction to seek knowledge by proceeding from less general to more
general laws, has given a very good reason why this is commonly
necessary and wise. He says (ii. 526), "Before we attempt to explain
deductively, from more general laws, any new class of phenomena, it is
desirable to have gone as far as is practicable in ascertaining the
empirical laws of these phenomena; so as to compare the results of
deduction, not with one individual instance after another, but with
general propositions expressive of the points of agreement which have
been found among many instances. For," he adds with great justice,
"if Newton had been obliged to verify the theory of gravitation, not
by deducing from it Kepler's laws, but by deducing all the observed
planetary positions which had served Kepler to establish those laws,
the Newtonian theory would probably never have emerged from the state
of an hypothesis." To which we may add, that it is certain, from the
history of the subject, that in that case the hypothesis would never
have been framed at all.
X. _Mr. Mill's Hope from Deduction._--63. Mr. Mill expresses a hope
of the efficacy of Deduction, rather than Induction, in promoting
the future progress of Science; which hope, so far as the physical
sciences are concerned, appears to me at variance with all the lessons
of the history of those sciences. He says (i. 579), "that the advances
henceforth to be expected even in physical, and still more in mental
and social science, will be chiefly the result of deduction, is evident
from the general considerations already adduced:" these considerations
being, that the phenomena to be considered are very complex, and are
the result of many known causes, of which we have to disentangle the
results.
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