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arXiv · 2509.01830

A Gentle Introduction to the Axiom of Choice

Andreas Blass·Dhruv Kulshreshtha
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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.

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Andreas Blass, Dhruv Kulshreshtha. 2025-09-01. A Gentle Introduction to the Axiom of Choice. https://doi.org/10.1007/s00283-026-10531-4

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