The real inference was accomplished when the universal
proposition was arrived at.
It will easily be seen that this explanation of the deductive process
completely turns the tables on the transcendental school. All
reasoning is shown to be at bottom inductive. Inductions and their
interpretation make up the whole of logic; and to induction
accordingly Mr. Mill devoted his chief attention. For the first time
induction was treated as the _opus magnum_ of logic, and the
fundamental principles of science traced to their inductive origin. It
was this, taken with his theory of the syllogism, which worked the
great change. Both his "System of Logic" and his "Examination of Sir
William Hamilton's Philosophy" are for the most part devoted to
fortifying this position, and demolishing beliefs inconsistent with
it. As a systematic psychologist Mr. Mill has not done so much as
either Professor Bain or Mr. Herbert Spencer. The perfection of his
method, its application, and the uprooting of prejudices which stood
in its way,--this was the task to which Mr. Mill applied himself with
an ability and success rarely matched and never surpassed.
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