are nevertheless the grounds of all specific inferences. But that truth
is not what Mill expounds, nor is it capable of development within the
limits imposed by the associationist formula.
It is deservedly, nevertheless, that Mill's applied logic has retained
its pride of place amid what has been handed on, if in modified shape,
by writers, e.g., Sigwart, and Professor Bosanquet, whose theory of
knowledge is quite alien from his. He prescribed regulative or limiting
formulae for research as it was actually conducted in his world. His
grasp of the procedure by which the man of science manipulated his
particular concrete problems was admirable. In especial he showed clear
understanding of the functions of hypothesis and verification in the
investigations of the solitary worker, with his facts still in course of
accumulation and needing to be lighted up by the scientific imagination.
He was therefore enabled to formulate the method of what Bacon had
tended to despise as merely the "first vintage." Bacon spent his
strength upon a dream of organization for all future discovery. Mill was
content to codify. The difference between Bacon and Mill lies chiefly in
this, and it is because of this difference that Mill's contribution,
spite of its debt to the Baconian tradition, remains both characteristic
and valuable. It is of course possible to criticise even the
experimental canons with some severity. The caveats, however, which are
relevant within the circle of ideas within which Mill's lesson can be
learned and improved on,[120] seem to admit of being satisfied by
relatively slight modifications in detail, or by explanations often
supplied or easily to be supplied from points brought out amid the
wealth of illustration with which Mill accompanied his formal or
systematic exposition of method. The critic has the right of it when he
points out, for example, that the practical difficulty in the Method of
Agreement is not due to plurality of causes, as Mill states, but rather
to intermixture of effects, while, if the canon could be satisfied
exactly, the result would not be rendered uncertain in the manner or to
the extent which he supposes. Again the formula of the Joint-Method,
which contemplates the enumeration of cases "which have nothing in
common but the absence of one circumstance," is ridiculously unsound as
it stands. Or, on rather a different line of criticism, the use of
corresponding letters in the two series of antecedents and consequents
raises, it is said, a false presumption of correlation. Nay, even the
use of letters at all suggests that the sort of analysis that actually
breaks up its subject-matter is universally or all but universally
applicable in nature, and this is not the case. Finally, the conditions
of the methods are either realized or not. If they are realized, the
work of the scientist falls entirely within the field of the processes
preliminary to the satisfaction of the canon. The latter becomes a mere
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