Overtaking : Its Consideration from the Probability Theory

Probability theory and its models

This paper argues for the status of formal probability theory as a mathematical, rather than a scientific, theory. David Freedman and Philip Stark’s concept of model based probabilities is examined and is used as a bridge between the formal theory and applications.

Quantum Probability from Decision Theory?

In a recent paper, Deutsch [1] claims to derive the “probabilistic predictions of quantum theory” from the “non-probabilistic axioms of quantum theory” and the “non-probabilistic part of classical decision theory.” We show that his derivation fails because it includes hidden probabilistic assumptions.

Multinomial identities arising from free probability theory

1.1. Overview. In order to answer some questions in the theory of operator algebras Dykema and Haagerup started investigation of the, so–called, triangular operator T [DH01]. Currently there are many different descriptions of this operator: in terms of random matrices, in terms of free probability theory and a purely combinatorial one (and we will recall them in the following). Dykema and Haage...

From Fuzzy Probabilities to Linguisti Probability Theory

The Mentally Retarded: a Consideration for Theory