The Berlin Group and the Philosophy of Logical Empiricism by Nikolay Milkov & Volker Peckhaus

Author:Nikolay Milkov & Volker Peckhaus
Language: eng
Format: epub
Publisher: Springer Netherlands, Dordrecht

7.2.4 Induction

In the winter of 1933 Reichenbach must have had the idea that our whole corpus of empirical knowledge rests upon a single decision—he calls it a “volitional bifurcation”—namely the decision to accept or to reject the rule of induction.

The principle or rule of induction says that future events of a certain kind will happen nearly as frequently as they do now that means i.e. in a sample of the events hitherto observed.

Let a sample of n events be given; m events from the sample may have the property A, the other ones A. h n  = m/n is the relative frequency of A in the sample. We than have:For any further prolongation of the series as far as s events (s > n), the relative frequency will remain within a small interval around hn; i.e., we assume the relation

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