Janus-Faced Probability Softcover reprint of the original 1st ed. 2014 Edition

“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)

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.”