A Gentle Introduction to the Axiom of Choice
Logic
2026-03-17 v3
Abstract
This article offers a gentle introduction to the axiom of choice. We introduce the axiom, discuss some common objections to it, and present three kinds of reasons to accept it. Although the exposition is aimed at non-experts in set theory, we also include some lesser-known results.
Keywords
Cite
@article{arxiv.2509.01830,
title = {A Gentle Introduction to the Axiom of Choice},
author = {Andreas Blass and Dhruv Kulshreshtha},
journal= {arXiv preprint arXiv:2509.01830},
year = {2026}
}
Comments
12 pages