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Quantum Puzzles in the Set Theoretic Metaworld of Heisenberg, Clauser, and Horne

2005/08/09 by Ian T. Durham, Durham, Ian T.
Arts and Humanities · Chemistry · Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #History and advancements in chemistry #Logic (math.LO) #Philosophy and History of Science #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #math.LO #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0508076

10 pages, recently posted to pitt-philsci-archive

arxiv created 2005/08/09 · openalex publication_date 2005/08/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper follows up on a recent pre-print (Durham [2005]) by first deriving a set theoretic relationship between the generalized uncertainty relations and the Clauser-Horne inequalities. The physical, metaphysical, and metamathematical implications and problems are then explored. The discussion builds on previous work by Pitowsky [1994] and suggests that there is a fundamental problem in quantum correlation that could potentially lead to a paradox. It leaves open the question of whether the problem is in experiment, theory, or phenomena.

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