Volume 15: Pages 331-338, 2002

Probabilistic Events and Physical Reality: A Complete Algebra of Probability

Paolo Rocchi, Leonida Gianfagna

IBM, via Shangai 53, 00144 Roma, Italy

This contribution derives from a rather extensive study on the foundations of probability. We start by discussing critically the two main models of the random event in probability theory and cast light over a number of incongruities. We conclude that the argument of probability is the critical knot of the probability foundations and put forward the structure of levels for the partially determinate event. The structural model enables us to define the probability and to attune its subjective and objective interpretations.

Keywords: probability foundations, random events

Received: May 24, 2002; Published online: December 15, 2008