How the Quantum Sorites Phenomenon Strengthens Bell's Argument

TL;DR

This paper clarifies how the Colbeck-Renner theorem, which is stronger than Bell's original theorem, relates to Bell's theorem by emphasizing the role of the Quantum Sorites Phenomenon in strengthening the argument.

Contribution

It explicitly connects the Colbeck-Renner theorem to Bell's theorem, highlighting the significance of the Quantum Sorites Phenomenon in strengthening nonlocality arguments.

Findings

Colbeck-Renner theorem is stronger than Bell's original theorem

The Quantum Sorites Phenomenon plays a key role in this strengthening

The paper clarifies the relationship between the two theorems

Abstract

Recently, Colbeck and Renner (2011) [arXiv:1005.5173] published a theorem that appears to be stronger than the Bell (1964) theorem in a way that is more significant than the other variations of Bell's theorem that have been published in the 50 years since Bell's theorem. Colbeck and Renner themselves do not relate their theorem directly to Bell's theorem, so here I present a version of the Colbeck-Renner theorem that makes the relationship explicit.