Janus-Faced Probability

Front Cover
Springer, Apr 25, 2014 - Mathematics - 147 pages
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.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Introduction
1
Part I On the Meaning of Probability
2
1 Interpretations of Probability
3
2 A Mathematical Approach to the Interpretation Problem
9
3 Probability Validation
23
4 About the Compatibility of the Diverging Interpretations
39
5 Criticism on the Philosophical Pollution
45
Part II Considerations Around the Probability Axiomatization
58
7 Classical Modeling of the Probability Argument
69
8 Structural Modeling of the Probability Argument
77
9 Some Topics on Probability and Structural Models
91
10 Exploring into the Essence of Events
103
Appendix A Interpretations of ProbabilityAn Outline
113
Pluralist WorksA Partial Bibliography
135
Law of Large NumbersA Proof
139
Index
144

6 Some Remarks on the Argument of Probability
59

Other editions - View all

Common terms and phrases

About the author (2014)

Prof. Rocchi has already produced original proposals in various research fields such as computing, reliability theory, didactics and software programming and this book also suggests a creative solution.

Bibliographic information