Janus-Faced Probability

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.

"I highly recommend this book for those readers interested in an accessible introduction to the problems related to the foundations of probability theory and statistics, with a very interesting compilation of references on the subject. Beside this, the ideas presented in the book open the door to interesting research inquiries in the field, especially those related to the foundations of quantum probability theory, quantum information theory and quantum statistical techniques." (Federico Holik, Mathematical Reviews, December, 2015) "Rocchi (IBM and LUISS Univ., Italy) begins by discussing two of these, the frequentist and the subjectivist approaches. ... Each of the book's ten chapters ends with a list of recent papers on the topic, and the book ends with an interesting series of three appendixes. ... This specialized work will mainly appeal to philosophers of probability. Summing Up: Recommended. Only comprehensive mathematics collections serving researchers/faculty." (M. Bona, Choice, Vol. 52 (9), May, 2015)

• 1 Interpretations of Probability.- 2 A Mathematical Approach to the Interpretation Problem.- 3 Probability Validation.- 4 About the Compatibility of Methods.- 5 Criticism on the Philosophical Pollution.- 6 Some Remarks on the Argument of Probability.- 7 Classical Modeling of the Probability Argument.- 8 Structural Modeling of the Probability Argument.- 9 Mathematical Definitions of Probability on the Basis of the Structural Model.- 10 Exploring into the Essence of Events.