The problem of probability interpretation was long overlooked before exploding in the 20th century, when the frequentist and subjectivist schools formalized two conflicting conceptions of probability. Beyond the radical followers of the two schools, a circle of pluralist thinkers tends to reconcile the opposing concepts. The author uses two theorems in order to prove that the various interpretations of probability do come into opposition and can be used in different contexts. The goal here is to clarify the multi fold nature of probability by means of a purely mathematical approach and to show how philosophical arguments can only serve to deepen actual intellectual contrasts. The book can be considered as one of the most important contributions in the analysis of probability interpretation in the last 10-15 years. "The problem of probability interpretation was long overlooked before exploding in the 20th century, when the frequentist and subjectivist schools formalized two conflicting conceptions of probability. Beyond the radical followers of the two schools, a circle of pluralist thinkers tends to reconcile the opposing concepts. The author uses two theorems in order to prove that the various interpretations of probability do not come into opposition and can be used in different contexts. The goal here is to clarify the multifold nature of probability by means of a purely mathematical approach and to show how philosophical arguments can only serve to deepen actual intellectual contrasts. The book can be considered as one of the most important contributions in the analysis of probability interpretation in the last 10-15 years"-- Publisher's description Front Matter....Pages i-xiii Front Matter....Pages 1-1 Interpretations of Probability....Pages 3-8 A Mathematical Approach to the Interpretation Problem....Pages 9-22 Probability Validation....Pages 23-37 About the Compatibility of the Diverging Interpretations....Pages 39-44 Criticism on the Philosophical Pollution....Pages 45-55 Front Matter....Pages 57-57 Some Remarks on the Argument of Probability....Pages 59-67 Classical Modeling of the Probability Argument....Pages 69-76 Structural Modeling of the Probability Argument....Pages 77-89 Some Topics on Probability and Structural Models....Pages 91-102 Exploring into the Essence of Events....Pages 103-112 Back Matter....Pages 113-147
