Contexts in quantum, classical and partition logic

TL;DR

This paper explores the concept of contexts across quantum, classical, and generalized systems, analyzing how collections of co-measurable observables form quasi-classical mini-universes in different logical frameworks.

Contribution

It compares and discusses various notions of contexts in classical, quantum, and generalized urn-automaton systems, highlighting their differences and similarities.

Findings

Identifies how contexts are formed in different logical systems

Analyzes the role of co-measurable observables in forming quasi-classical structures

Provides a unified discussion across multiple logical frameworks

Abstract

Contexts are maximal collections of co-measurable observables "bundled together" to form a "quasi-classical mini-universe." Different notions of contexts are discussed for classical, quantum and generalized urn-automaton systems.