连续统假设如何可能成为基本公理
逻辑
2024-07-23 v2
摘要
我描述了一个简单的历史思想实验，展示我们如何可能将连续统假设视为基本公理，一个对数学至关重要，甚至对微积分都是必不可少的公理。
引用
@article{arxiv.2407.02463,
title = {How the continuum hypothesis could have been a fundamental axiom},
author = {Joel David Hamkins},
journal= {arXiv preprint arXiv:2407.02463},
year = {2024}
}
备注
19 pages. Commentary can be made on the author's blog at https://jdh.hamkins.org/how-ch-could-have-been-fundamental. v2 includes many minor improvements, as well as new discussion of several issues, including the fact that ZFC proves (without CH) that there is a unique initial countably saturated real-closed field