# Possible Experience: from Boole to Bell

Source: [Possible Experience: from Boole to Bell](<https://www.sota2.com/research/paper/68fa2a581e209131ce83d09f>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:53:09.551Z

Authors: K. Hess, K. Michielsen, H. De Raedt

Published: 2009-07-04T15:04:11.000Z

## Abstract

Mainstream interpretations of quantum theory maintain that violations of the Bell inequalities deny at least either realism or Einstein locality. Here we investigate the premises of the Bell-type inequalities by returning to earlier inequalities presented by Boole and the findings of Vorob'ev as related to these inequalities. These findings together with a space-time generalization of Boole's elements of logic lead us to a completely transparent Einstein local counterexample from everyday life that violates certain variations of the Bell inequalities. We show that the counterexample suggests an interpretation of the Born rule as a pre-measure of probability that can be transformed into a Kolmogorov probability measure by certain Einstein local space-time characterizations of the involved random variables.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0907.0767>)

[PDF](<https://arxiv.org/pdf/0907.0767.pdf>)