supplied it recognizes continuity with its own self-conscious process,
is what gives the dialectical type its meaning. Secondly we have this
dialectical "induction as to particulars by grouping of similars"[81]
whose liability to rebuttal by an exception has been already noted in
connexion with the limits of dialectic. This is the incomplete induction
by simple enumeration which has so often been laughed to scorn. It is a
heuristic process liable to failure, and its application by a nation of
talkers even to physics where non-expert opinion is worthless somewhat
discredited it. Yet it was the fundamental form of induction as it was
conceived throughout the scholastic period. Thirdly we have the limiting
cases of this in the inductive syllogism [Greek: dia pantôn],[82] a
syllogism in the third figure concluding universally, and yet valid
because the copula expresses equivalence, and in analogy[83] in which,
it has been well said, instances are weighed and not counted. In the
former it has been noted[84] that Aristotle's illustration does not
combine particular facts into a lowest concept, but specific concepts
into a generic concept, and[85] that in the construction of definite
inductions the ruling thought with Aristotle is already, though vaguely,
that of causal relation. It appears safer, notwithstanding, to take the
less subtle interpretation[86] that dialectical induction struggling
with instances is formally justified only at the limit, and that this,
where we have exhausted and know that we have exhausted the cases, is in
regard to individual subjects rarely and accidentally reached, so that
we perforce illustrate rather from the definite class-concepts falling
under a higher notion. After all, Aristotle must have had means by
which he reached the conclusions that horses are long-lived and lack
gall. It is only then in the rather mystical relation of [Greek: nous]
to the first type of induction as the process of the psychological
mechanism that an indication of the direction in which the bridge from
individual being to universal knowledge is to be found can be held to
lie.
Summary.
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