Against a minimalist reading of Bell's Theorem : lessons from fine

Müller, Thomas; Placek, Tomasz

Against a minimalist reading of Bell's Theorem : lessons from fine

Dateien

Mueller_271372.pdfGröße: 462.81 KBDownloads: 302

Datum

2001

Autor:innen

Müller, Thomas

Placek, Tomasz

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Philosophie

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Synthese. 2001, 128(3), pp. 343-379. ISSN 0039-7857. eISSN 1573-0964. Available under: doi: 10.1023/A:1011971808127

Zusammenfassung

Since the validity of Bell's inequalities implies the existence of joint probabilities for non-commuting observables, there is no universal consensus as to what the violation of these inequalities signifies. While the majority view is that the violation teaches us an important lesson about the possibility of explanations, if not about metaphysical issues, there is also a minimalist position claiming that the violation is to be expected from simple facts about probability theory. This minimalist position is backed by theorems due to A. Fine and I. Pitowsky.Our paper shows that the minimalist position cannot be sustained. To this end,we give a formally rigorous interpretation of joint probabilities in thecombined modal and spatiotemporal framework of `stochastic outcomes inbranching space-time' (SOBST) (Kowalski and Placek, 1999; Placek, 2000). We show in this framework that the claim that there can be no joint probabilities fornon-commuting observables is incorrect. The lesson from Fine's theorem is notthat Bell's inequalities will be violated anyhow, but that an adequate modelfor the Bell/Aspect experiment must not define global joint probabilities. Thus we investigate the class of stochastic hidden variable models, whichprima facie do not define such joint probabilities. The reasonwhy these models fail supports the majority view: Bell's inequalities are notjust a mathematical artifact.

Fachgebiet (DDC)

100 Philosophie

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ISO 690

MÜLLER, Thomas, Tomasz PLACEK, 2001. Against a minimalist reading of Bell's Theorem : lessons from fine. In: Synthese. 2001, 128(3), pp. 343-379. ISSN 0039-7857. eISSN 1573-0964. Available under: doi: 10.1023/A:1011971808127

BibTex

@article{Muller2001Again-27137,
  year={2001},
  doi={10.1023/A:1011971808127},
  title={Against a minimalist reading of Bell's Theorem : lessons from fine},
  number={3},
  volume={128},
  issn={0039-7857},
  journal={Synthese},
  pages={343--379},
  author={Müller, Thomas and Placek, Tomasz}
}

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