Probabilities are single-case, or nothing

Details Probabilities are single-case, or nothing Probabilities are single-case, or nothing

2004-08-08

arxiv.org/abs/quant-ph/0408058v1

Optics and Spectroscopy, 99, 447 (2005)

Physics

Quantum Physics

16 pages. Invited talk at 10th International Conference on Quantum Optics, Minsk 2004

Scientific paper

10.1134/1.2055942

Physicists have, hitherto, mostly adopted a frequentist conception of probability, according to which probability statements apply only to ensembles. It is argued that we should, instead, adopt an epistemic, or Bayesian conception, in which probabilities are conceived as logical constructs rather than physical realities, and in which probability statements do apply directly to individual events. The question is closely related to the disagreement between the orthodox school of statistical thought and the Bayesian school. It has important technical implications (it makes a difference, what statistical methodology one adopts). It may also have important implications for the interpretation of the quantum state.

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