LST Numbers for $Q^{\text{e.c.}}$ and $I$ style quantifiers
Logic
2023-12-11 v3
Abstract
We introduce two schemes of quantifiers analogous to and , which tell us about regular cardinals of small Cantor-Bendixson rank. We examine how the L\"owenheim-Skolem-Tarski numbers of these quantifiers interact with one another, and with those of and . We then find the exact lower bound for each of the LST numbers, assuming the consistency of supercompacts.
Cite
@article{arxiv.2211.08362,
title = {LST Numbers for $Q^{\text{e.c.}}$ and $I$ style quantifiers},
author = {Christopher Henney-Turner},
journal= {arXiv preprint arXiv:2211.08362},
year = {2023}
}