But we can only note one or two points. Jevons's "infinite ballot-box"
of nature which is absolutely neutral as to any particular conception or
idea, and which accordingly requires as its correlate the formation of
every possible hypothesis (all standing in themselves upon the same
level of probability) is an interesting example of the logical
consequences of feeling the need of both fact and hypothesis for
scientific procedure and yet regarding them as somehow arising
independently of each other. It is an attempt to combine extreme
empiricism and extreme rationalism. The process of forming hypotheses
and of deducing their rational consequences goes on at random, because
the disconnectedness of facts as given is so ultimate that the facts
suggest one hypothesis no more readily than another. Mathematics, in its
two forms of measurements as applied to the facts, and of calculation as
applied in deduction, furnishes Jevons the bridge by which he finally
covers the gulf which he has first himself created. Venn's theory
requires little or no restatement to bring it into line with the
position taken in the text. He holds to the origin of hypothesis in the
original practical needs of mankind, and to its gradual development into
present scientific form.[71] He states expressly:
The _distinction between what is known and what is not known is
essential to Logic_, and peculiarly characteristic of it in a
degree not to be found in any other science. Inference is the
process of passing from one to the other; from facts which we had
accepted as premises, to those which we have not yet accepted,
_but are in the act of doing so by the very process in question_.
No scrutiny of the facts themselves, regarded as objective, can
ever detect these characteristics of their greater or less
familiarity to our minds. We must introduce also the subjective
element if we wish to give any adequate explanation of them.[72]
Venn, however, does not attempt a thoroughgoing statement of logical
distinctions, relations, and operations, as parts "of the act of passing
from the unknown to the known." He recognizes the relation of reflection
to a historic process, which we have here termed "reconstruction," and
the origin and worth of hypothesis as a tool in the movement, but does
not carry his analysis to a systematic form.
III
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