Logical Structure of Physical Probability Assertions

2005/08/07 by Johnson, Joseph F.
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.quant-ph/0508059

Abstract

A modification and generalisation of von Plato's fix of the frequency theory of probability is presented. It is thermodynamic in nature. Von Plato already fixed the logical circle in the frequency theory, we generalise his results to not necessarily ergodic systems of classical and quantum mechanics. This turns out to be precisely what is needed for the problem of Quantum Measurement and the problem of induction.

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