Ebook: Janus-Faced Probability
Author: Paolo Rocchi (auth.)
- Tags: Probability Theory and Stochastic Processes, History of Mathematical Sciences, Mathematical Logic and Foundations, History of Mathematical Sciences
- Year: 2014
- Publisher: Springer International Publishing
- Edition: 1
- Language: English
- pdf
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.