Epistemic nature of quantum reasoning

TL;DR

This paper explores the epistemic aspects of quantum reasoning, proposing an enriched classical logic framework to address issues with incompatible observables and the distributive law in quantum mechanics.

Contribution

It introduces an epistemic enrichment of classical logic that distinguishes between variable values and observations, resolving interpretational difficulties in quantum logic.

Findings

Addresses the failure of classical distributive law in quantum mechanics

Proposes an epistemic logic framework for quantum reasoning

Retains classical connectives while handling incompatible observables

Abstract

Doubts are raised concerning the usual interpretation of the alleged failure, by quantum mechanics, of the distributive law of classical logic. The difficulty raised by incompatible sets of observables is overcome within an epistemic enrichment of classical logic that provides the means for distinguishing between the value of a variable and its observation while retaining the classical connectives.