Title: Pitowsky’s Kolmogorovian Models and Super-determinism
Language: English
Authors: Kellner, Jakob
Category: Research Article
Issue Date: 2017
Journal: Foundations of physics
ISSN: 1572-9516
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 Pitowsky’s 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). Pitowsky’s 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”.
DOI: 10.1007/s10701-016-0049-0
Library ID: AC11361201
URN: urn:nbn:at:at-ubtuw:3-2751
Organisation: E104 - Institut für Diskrete Mathematik und Geometrie 
Publication Type: Article
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