one single step beyond the blank assertion. And it is astonishing that
this assertion should still be considered cogent, when its logical
consistency has been shattered to pieces by a host of writers as well
sceptical as Christian (Mill's _Logic_, ii., 157--160). For, as the
greatest of our living logicians has remarked, the supposed recondite
and dangerous formula of Hume--that it is more probable that testimony
should be mistaken than that miracles should be true--reduces itself
to the very harmless proposition that anything is incredible which is
contrary to a complete induction. It is in fact a _flagrant petitio
principii_, used to support a wholly unphilosophical assertion."(1)
It is much more astonishing that so able a man as Dr. Farrar could so
misunderstand Hume's argument and so misinterpret and mis-state Mr.
Mill's remarks upon it. So far from shattering to pieces the logical
consistency of Hume's reasoning, Mr. Mill substantially confirms it, and
pertinently remarks that "it speaks ill for the state of philosophical
speculation on such subjects" that so simple and evident a doctrine
should have been accounted a dangerous heresy. It is, in fact, the
statement of a truth which should have been universally recognized, and
would have been so, but for its unwelcome and destructive bearing upon
popular theology.
Mr. Mill states the evident principle, that--"If an alleged fact be in
contradiction, not to any number of approximate generalizations, but to
a completed generalization grounded on a rigorous induction, it is
said to be impossible, and is to be disbelieved totally." Mr. Mill
continues.: "This last principle, simple and evident as it
{80}
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