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Title
Pitowskys Kolmogorovian Models and Super-determinism
AuthorKellner, Jakob
Published in
Foundations of physics, 2017, Vol. 47, Issue 1, page 132-148
Published2017
Edition
Published version
LanguageEnglish
Document typeJournal Article
URNurn:nbn:at:at-ubtuw:3-2751 Persistent Identifier (URN)
DOI10.1007/s10701-016-0049-0 
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 The work is publicly available
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Pitowskys Kolmogorovian Models and Super-determinism [0.37 mb]
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Abstract (English)

In an attempt to demonstrate that local hidden variables are mathematically possible, Pitowsky constructed “spin-https://static-content.springer.com/image/art%3A10.1007%2Fs10701-016-0049-0/MediaObjects/10701_2016_49_IEq1_HTML.gif functions” and later “Kolmogorovian models”, which employs a nonstandard notion of probability. We describe Pitowskys analysis and argue (with the benefit of hindsight) that his notion of hidden variables is in fact just super-determinism (and accordingly physically not relevant). Pitowskys first construction uses the Continuum Hypothesis. Farah and Magidor took this as an indication that at some stage physics might give arguments for or against adopting specific new axioms of set theory. We would rather argue that it supports the opposing view, i.e., the widespread intuition “if you need a non-measurable function, it is physically irrelevant”.

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CC-BY-License (4.0)Creative Commons Attribution 4.0 International License