Quantum Logic and Quantum Reconstruction

TL;DR

This paper reviews the successes and limitations of quantum logic as a reconstruction approach and proposes a broader perspective to understand its role within the ongoing development of quantum theory.

Contribution

It provides a synthesis of quantum logic's achievements and shortcomings and introduces a new perspective to contextualize its place in quantum theory.

Findings

Quantum logic has had notable successes in understanding quantum foundations.

Quantum logic faces genuine limitations that restrict its explanatory power.

A broader context can enhance the understanding of quantum logic's role in quantum theory.

Abstract

Quantum logic understood as a reconstruction program had real successes and genuine limitations. This paper offers a synopsis of both and suggests a way of seeing quantum logic in a larger, still thriving context.