In an attempt to demonstrate that local hidden variables are mathematically possible, Pitowsky constructed “spin-½ 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”.
en
dc.description.sponsorship
Austrian Science Fund (FWF)
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dc.language
English
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dc.language.iso
en
-
dc.publisher
Springer
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dc.relation.ispartof
Foundations of Physics
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dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
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dc.subject
Singlet State
en
dc.subject
Hide Variable
en
dc.subject
Continuum Hypothesis
en
dc.subject
Hide Variable Theory
en
dc.subject
Hide Variable Model
en
dc.title
Pitowsky’s Kolmogorovian Models and Super-determinism
en
dc.type
Article
en
dc.type
Artikel
de
dc.rights.license
Creative Commons Namensnennung 4.0 International
de
dc.rights.license
Creative Commons Attribution 4.0 International
en
dc.relation.grantno
P23875
-
dc.relation.grantno
P26737
-
dc.relation.grantno
Individual Project 24621
-
dc.rights.holder
The Author(s) 2017
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dc.type.category
Original Research Article
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tuw.journal.peerreviewed
true
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tuw.peerreviewed
true
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tuw.version
vor
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dcterms.isPartOf.title
Foundations of Physics
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tuw.publication.orgunit
E104 - Institut für Diskrete Mathematik und Geometrie
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tuw.publisher.doi
10.1007/s10701-016-0049-0
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dc.date.onlinefirst
2016-11-21
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dc.identifier.eissn
1572-9516
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dc.identifier.libraryid
AC11361201
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dc.identifier.urn
urn:nbn:at:at-ubtuw:3-2751
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tuw.author.orcid
0000-0002-8815-7357
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dc.rights.identifier
CC BY 4.0
de
dc.rights.identifier
CC BY 4.0
en
wb.sci
true
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with Fulltext
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Publications
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http://purl.org/coar/resource_type/c_2df8fbb1
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item.languageiso639-1
en
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item.openaccessfulltext
Open Access
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item.openairetype
research article
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item.grantfulltext
open
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crisitem.author.dept
E104-08 - Forschungsbereich Mengenlehre
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crisitem.author.orcid
0000-0002-8815-7357
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crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie