How the Continuum Hypothesis could have been a Fundamental Axiom

Authors

DOI:

https://doi.org/10.36253/jpm-2936

Keywords:

continuum hypothesis, philosophy of set theory, infinitesimals, categoricity

Abstract

I describe a simple historical thought experiment showing how we might have come to view the continuum hypothesis as a fundamental axiom, one necessary for mathematics, indispensable even for calculus.

Downloads

Published

2024-09-10

How to Cite

Hamkins, J. D. (2024). How the Continuum Hypothesis could have been a Fundamental Axiom. Journal for the Philosophy of Mathematics, 1, 113–126. https://doi.org/10.36253/jpm-2936

Issue

Vol. 1 (2024)

Section

Articles

License

Copyright (c) 2024 Joel David Hamkins

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

  • Copyright on any open access article in JPM published by FUP is retained by the author(s).
  • Authors grant FUP a license to publish the article and identify itself as the original publisher.
  • Authors also grant any third party the right to use the article freely as long as its integrity is maintained and its original authors, citation details and publisher are identified.
  • The Creative Commons Attribution License 4.0 formalizes these and other terms and conditions of publishing articles.
  • In accordance with our Open Data policy, the Creative Commons CC0 1.0 Public Domain Dedication waiver applies to all published data in JPM open access articles.