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On probability of first order formulas in a given model. (English) Zbl 0441.03008

MSC:

03C50 Models with special properties (saturated, rigid, etc.)
60K10 Applications of renewal theory (reliability, demand theory, etc.)
62A01 Foundations and philosophical topics in statistics
94A17 Measures of information, entropy
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References:

[1] R. Carnap: Logical Foundations of Probability. Chicago 1950. · Zbl 0040.07001
[2] R. Carnap Y. Bar-Hillel: Semantic Information. British Journal for the Philosophy of Science 4 (1953). · Zbl 0282.94023
[3] R. Carnap Y. Bar-Hillel: An Outline of the Theory of Semantic Information. Research Laboratory of Electronics, Massachusetts Institute of Technology, Report No. 247, 1952. · Zbl 0282.94023
[4] C. C. Chang H. J. Keisler: Model Theory. North-Holland Publishing Company, Amsterdam-London 1974. · Zbl 0697.03022
[5] J. L. Bell A. B. Slomson: Models and Ultraproducts. North-Holland Publishing Company, Amsterdam -London 1974. · Zbl 0179.31402
[6] L. Rieger: Algebraic Methods of Mathematical Logic. Academic Press, New York-London 1967. · Zbl 0218.02001
[7] A. Rényi: Probability Theory. North-Holland Publishing Company, Amsterdam-London 1970. · Zbl 0206.18002
[8] M. Loève: Probability Theory. D. van Nostrand Company Inc., Princeton-New York-London 1961.
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