In conversion of propositions we try to reverse the direction of the
reaction, so to speak, and thereby to free the habit, to get a mode of
response so generalized as to act with a minimum cue. For instance, we
can deal with A in a way called B, or, in other words, in the same way
that we did with other things called B. If we say, "Man is an animal,"
then to a certain extent the term "animal" signifies the way in which we
regard "man." But the question arises whether we can regard all animals
as we do man. Evidently not, for the reaction which is fitting in case
of animals would be only partially applicable to man. With the animals
that are also men we have the beginning of a habit which, if unchecked,
would lead to a similar reaction toward all animals, _i. e._, we would
say: "All animals are men." Man may be said to be the richer concept, in
that only a part of the reaction which determines an object to be a man
is required to designate it as an animal. On the other hand, if we start
with animal, then (except in case of the animals which are men) there is
lacking the subject-matter which would permit the fuller concept to be
applied. By supplying the conditions under which animal=man we get a
reversible habit. The equation of technical science has just this
character. It represents the maximum freeing or abstraction of a
predicate _qua_ predicate, and thereby multiplies the possible
applications of it to subjects of future judgments, and lessens the
amount of shearing away of irrelevancies and of re-adaptation necessary
when so used in any particular case.
_Formation and test of the hypothesis._--The formation of the hypothesis
is commonly regarded as essentially different from the process of
testing, which it subsequently undergoes. We are said to observe facts,
invent hypotheses, and _then_ test them. The hypothesis is not required
for our preliminary observations; and some writers, regarding the
hypothesis as a formulation which requires a difficult and elaborate
test, decline to admit as hypotheses those more simple suppositions,
which are readily confirmed or rejected. A very good illustration of
this point of view is met with in Wundt's discussion of the hypothesis,
by an examination of which we hope to show that such distinctions are
rather artificial than real.
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