Classical logic, classical probability, and quantum mechanics

TL;DR

This paper discusses the conceptual links between classical logic, probability, and quantum mechanics, emphasizing contextuality and non-locality, and explores their relation to correlation polytopes and Bell inequalities.

Contribution

It provides an overview of results connecting classical and quantum frameworks, highlighting the role of contextuality and non-locality in quantum theory.

Findings

Analysis of correlation polytopes and Bell inequalities

Insights into Boole's conditions of possible experience

Discussion of contextuality and non-locality in quantum mechanics

Abstract

We give an overview and conceptual discussion of some of our results on contextuality and non-locality. We focus in particular on connections with the work of Itamar Pitowsky on correlation polytopes, Bell inequalities, and Boole's "conditions of possible experience".