# Indistinguishability and the origins of contextuality in physics

## TL;DR

This paper introduces a formal framework using quasi-set theory to model properties of quantum systems, emphasizing the indistinguishability of properties across different measurement contexts to better understand contextuality in physics.

## Contribution

It develops a novel formal approach employing quasi-set theory to analyze properties of contextual quantum systems, offering a new ontological perspective.

## Key findings

- Provides a formal structure for indistinguishable properties in quantum contexts
- Uses quasi-set theory to model collections violating Leibnitz's principle
- Offers insights into the origins of contextuality in quantum physics

## Abstract

In this work we discuss a formal way of dealing with properties of contextual systems. Our approach is to assume that properties describing the same physical quantity, but belonging to different measurement contexts, are indistinguishable in a strong sense. To construct the formal theoretical structure, we develop a description using quasi-set theory, which is a set-theoretical framework built to describe collections of elements that violate Leibnitz's principle of identity of indiscernibles. This allows us to consider a new ontology in order to study properties of quantum systems.