Hacker News with Generative AI: Set Theory

Peano's Axioms (principlesofcryptography.com)
Thinking of numbers intuitively brings to mind the simplest and most fundamental set of numbers, namely the set of natural numbers. These numbers are used to count objects like cars, books, pens, etc. If we associate natural numbers such as 1, 2, 3, etc. with counting, then with what corresponding concepts do we relate numbers like -4, \sqrt{3} \text{ and } \frac{22}{7}?
Numbers Are Leaves (christo.sh)
Over Christmas I set out to teach myself axiomatic set theory. Specifically, I wanted to teach myself Zermelo-Fraenkel set theory with the axiom of Choice or ZFC.
From Sets to Categories (2023) (abuseofnotation.github.io)
How the continuum hypothesis could have been a fundamental axiom (hamkins.org)
A Type for Overload Set (biowpn.github.io)
Paraconsistent and Paracomplete Zermelo-Fraenkel Set Theory (arxiv.org)