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.
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