A Gentle Introduction to the Axiom of Choice

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Authors: Andreas R. Blass, Dhruv Kulshreshtha
Cited by: 0

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.

Fields of Study & Subjects

Game Theory and Voting Systems Decision-Making and Behavioral Economics Philosophical Ethics and Theory

Publication details

Journal / source
The Mathematical Intelligencer
Publication date
3 June 2026
Language
EN