Nonstandard Universes
Logic
2025-10-22 v2
Abstract
These notes are concerned with the existence and the basic properties of the set-theoretic universes for nonstandard analysis, compiled by a beginner in the subject. It assumes a basic background in first-order logic, though the necessary material is revised in Appendix A. Needless to say, none of the material presented here is original, but has been adapted from standard sources.
Cite
@article{arxiv.2506.23654,
title = {Nonstandard Universes},
author = {Peter Ouwehand},
journal= {arXiv preprint arXiv:2506.23654},
year = {2025}
}