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G75

Now as to this mathematical theory of induction, it is to be observed that mathematics has to rest upon assumptions, or, as modern mathematicians call them, upon "hypotheses." Accordingly, those who desire to make such a subject as the doctrine of chances appear as a branch of pure mathematics, instead of first framing suitable definitions of the terms of art they deem needful, and then expressing with the aid of these terms such assumptions as seem indisputable, begin by formulating such assumptions as are requisite for the support of the developments already decided upon

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