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62

we never can know precisely what we
mean by any description whatever.

The third order of induction, which may be called Statistical Induction, differs
entirely from the other two in that it
assigns a definite value to a quantity.
It draws a sample of a class, finds a
numerical expression for a predesignate character
of that sample and extends this evaluation, under
proper qualification, to the entire
class, by the aid of the doctrine of chances.
The doctrine of chances is, in itself, purely
deductive. It draws necessary conclusions
only. The third order of induction takes
advantage of the information thus deduced
to render induction exact.