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it is the lower genus of Quantitative Inductions that, relying on statistics, approximately evaluate Probabilities in the proper sense of the term, as opposed to the "Likelihood" that belongs to every inductive conclusion. A Real Probability must be defined as the only number which reasoning of this genus would never definitively condemn as too large or as too small to express the ratio of frequency of occurrences in experience of members of a species among such occurrences of members of a genus over that species. It is what is called in the calculus a "limit," but not of the species covered by the definition in the books.

Of the Third, or "Sentential" Grade of Induction, I can in so brief a space only say that it ascertains the trustworthiness [of] inductions and the results of their combinations; that it has three Orders relating respectively to Classification, to Inductive Arguments and to Inductive Results; and that the second of these orders has two families relating the one to single presumptions, the other to combinations of inductive argument.

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