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On the logical form of probability-statements

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References

  1. R. v.Mifes, Wahrfcheinlichkeit, Statiftik und Wahrheit. Springer, Wien, second ed. 1936. H. Reichenbach, 1. Wahrfcheinlichkeitslehre, Sijthoff, Leiden 1935. 2. Les fondements logiques du calcul des probabilités. Ann. Inst. H. Poincaré VII (1937), 267–348. For a general survey of the statistical and other types of theories of probability, see E. Nagel, The Meaning of Probability; J. Amer. Statist. Ass. 31 (1936), 10–26. C. E. Bures, The Concept of Probability; Phil. of Science 5, (1938), 1–20.

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  2. For this and other logical concepts cf. R.Carnap, The logical Syntax of Language; Harcuort, New York, 1937.

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  3. Following the way chosen by H. Reichenbach (cf. footnote I) and E. Kamke (Einführung in die Wahrfcheinlichkeitstheorie; Hirzel, Leipzig, 1932), we leave aside, in the general definition of probability, any supplementary condition concerning the so called irregularity of he distribution ofF and ∼F inb; the inclusion of such restrictions into the definition would, however, not affect the result that ‘Prob’ is a three-place relation of the type indicated above.

  4. An exact theory of the concept of truth with respect to a given (formalized) language has been established by A. Tarski; cf. his paper: Der Wahrheitsbegriff in den formalisierten Sprachen; Studia philosophica (1936); for a more general account of this theory and its significance as a foundation for a rigorous theory of semantics cf. M. Kokoszynska: Über den absoluten Wahrheitsbegriff und einige andere femantifche Begriffe; Erkenntnis 6, 1936.

  5. Cf. (in addition to his book mentioned in footnote I): On Probability and Induction; Philos. of Science 5 (1938), 21–45; b) Experience and Prediction, Chicago, 1938; 33.

  6. Cf. Über Induktion und Wahrfcheinlichkeit. Erkenntnis 5, 1935.

  7. Cf. footnote 3).

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  1. C. G. Hempel
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Hempel, C.G. On the logical form of probability-statements. Erkenntnis 7, 154–160 (1937). https://doi.org/10.1007/BF00666520

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