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110

how the knowledge of one thing should
ever justify a man in any assertion
about another thing quite independent
of the first. I will give you some examples
of the answers that have been proposed to
this question.

The abbé Gratry, who was an original thinker
of a far higher order than many of those who called
him a fool, after showing in a most interesting
way that mathematical differentiation is of
the nature of inductive thought as integration is
of deductive thought,— an eternal truth, and by no means an obvious one, with
which the name of Gratry must be forever associated,—
is led to believe that it is an act
of Divine illumination whenever we form

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