73

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G73

Inductions.

A yet fourth theory of induction, that of Laplace, received,
by implication, the assent of Mill; and since this theory is taught as
correct in all the text-books of the Doctrine of Chances, it behooves
me, in adapting another, to state, with the utmost brevity wherein
Laplace's theory is false and harmful. I shall also give my
explanation of Mill's assenting to it.

If, upon any occasion, we were to devise a method of
forming a numerous sample of any class, say the Ss, which

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