On Logical Foundations of Probability Theory

1983 ◽  
pp. 1-5 ◽  
Author(s):  
A. N. Kolmogorov
Keyword(s):  
Probability Theory ◽  
Logical Foundations ◽  
Foundations Of Probability

scholarly journals THREE CHARACTERIZATIONS OF STRICT COHERENCE ON INFINITE-VALUED EVENTS

2019 ◽  
Vol 13 (3) ◽  
pp. 593-610
Author(s):  
TOMMASO FLAMINIO
Keyword(s):  
Probability Theory ◽  
Present Author ◽  
Łukasiewicz Logic ◽  
Logical Foundations ◽  
Foundations Of Probability ◽  
Lukasiewicz Logic

AbstractThis article builds on a recent paper coauthored by the present author, H. Hosni and F. Montagna. It is meant to contribute to the logical foundations of probability theory on many-valued events and, specifically, to a deeper understanding of the notion of strict coherence. In particular, we will make use of geometrical, measure-theoretical and logical methods to provide three characterizations of strict coherence on formulas of infinite-valued Łukasiewicz logic.

A syntactical definition of probability and of degree of confirmation

1945 ◽  
Vol 10 (2) ◽  
pp. 25-60 ◽  
Author(s):  
Olaf Helmer ◽  
Paul Oppenheim
Keyword(s):  
Probability Theory ◽  
Inductive Reasoning ◽  
Intended Application ◽  
Logical Foundations ◽  
Foundations Of Probability ◽  
Interpretation Of Probability ◽  
Definition Of ◽  
Degree Of Confirmation

This paper is intended to serve a twofold purpose. Its ultimate aim is the presentation of a syntactical definition of the degree of confirmation of a hypothesis on the basis of given evidence, a notion which is known to be of outstanding significance for the logic of inductive reasoning in the empirical sciences. The theory of confirmation to be developed here has as its foundation the theory of probability, and in order to make that foundation sufficiently secure, it was found expedient to present the theory of probability in axiomatic form and to introduce a syntactical interpretation of probability suitable for the intended application in the theory of confirmation. In this sense then to clarify the logical foundations of probability theory is this paper's first aim.

Logical Foundations of Probability, Second Edition

1963 ◽  
Vol 58 (303) ◽  
pp. 869 ◽  
Author(s):  
Rudolf Carnap
Keyword(s):  
Logical Foundations ◽  
Foundations Of Probability

The Empirical Foundations of Probability Theory

1973 ◽  
Vol 66 (4) ◽  
pp. 316-318
Author(s):  
David L. Burdick
Keyword(s):  
College Students ◽  
Probability Theory ◽  
Empirical Evidence ◽  
Physical Theory ◽  
Probability Model ◽  
Foundations Of Probability ◽  
Theoretical Mechanics ◽  
Theory And Experiment

It is desirable that scientifically oriented secondary and college students be exposed to the role played by mathematics in modeling physical theory and experiment. The nature of the probability model and the empirical evidence offered to support its applications can furnish a very effective counterpoint to the standard examples of the empirical evidence from astronomy and physics that justifies theoretical mechanics.

The Logical Foundations of Probability

1963 ◽  
Vol 60 (13) ◽  
pp. 362-364 ◽  
Author(s):  
Henry E. Kyburg, ◽  
Keyword(s):  
Logical Foundations ◽  
Foundations Of Probability

scholarly journals Mathematical Foundations of Probability Theory

2018 ◽  
Author(s):  
Gane Samb Lo
Keyword(s):  
Probability Theory ◽  
Foundations Of Probability ◽  
Mathematical Foundations
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