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Mathematics - Probability Theory and Stochastic Processes | Janus-Faced Probability

Janus-Faced Probability

Rocchi, Paolo

2014, XIII, 147 p. 26 illus.

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  • Suggests new ideas to address the interpretation of probability
  • Original approach and new perspectives
  • Clarifies the multi fold nature of probability by means of a purely mathematical approach

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.

Content Level » Research

Keywords » frequentist theory - probability interpretation - subjective theory

Related subjects » History of Mathematical Sciences - Mathematics - Probability Theory and Stochastic Processes

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