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Contextual Value-definiteness and the Kochen-Specker Paradox

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Ken Williams

Quantum Physics · Submitted 6 Dec 2005

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We conclude that value-definiteness and contextuality are indeed not mutually exclusive.

how it is stated · asserted 1.00 read the record →

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arXiv IDquant-ph/0512052 (version 1)
Pith IDMXJS2WMF, Pith's permanent record of this paper and its review
CitationKen Williams. "Contextual Value-definiteness and the Kochen-Specker Paradox." arXiv:quant-ph/0512052 (2005). https://pith.science/paper/MXJS2WMF
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,980 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.10 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.02 · compares with prior results 0.57 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

Compatibility between the realist tenants of value-definiteness and causality is called into question by several realism impossibility proofs in which their formal elements are shown to conflict. We review how this comes about in the Kochen-Specker and von Neumann proofs and point out a connection between their key assumptions: a constraint on realist causality via additivity in the latter proof, noncontextuality in the former. We conclude that value-definiteness and contextuality are indeed not mutually exclusive.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Compatibility between the realist tenants of value-definiteness and causality is called into question by several realism impossibility proofs in which their formal elements are shown to conflict. background 1.00 0.06 0.04 asserted 0.93
s1 We review how this comes about in the Kochen-Specker and von Neumann proofs and point out a connection between their key assumptions: a constraint on realist causality via additivity in the latter proof, noncontextuality in the former. contribution 0.92 0.70 0.05 asserted 0.99
s2 We conclude that value-definiteness and contextuality are indeed not mutually exclusive. result 0.82 0.82 0.95 asserted 1.00

What kind of paper the classifier reports this is: review 0.86 · evidence from argument 0.53.

What was examined, and what was not

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  • figures and tables
  • references and citing sentences
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Compatibility between the realist tenants of value-definiteness and causality is called into question by several realism impossibility proofs in which their formal elements are shown to conflict. We review how this comes about in the Kochen-Specker and von Neumann proofs and point out a connection between their key assumptions: a constraint on realist causality via additivity in the latter proof, noncontextuality in the former. We conclude that value-definiteness and contextuality are indeed not mutually exclusive.

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