The Hanf numbers of stationary logic. II. Comparison with other logics
Logic
2013-10-22 v1
Abstract
We show that the ordering of the Hanf number of L_{omega, omega}(wo) (well ordering), L^c_{omega, omega} (quantification on countable sets), L_{omega, omega}(aa) (stationary logic) and second order logic, have no more restraints provable in ZFC than previously known (those independence proofs assume CON(ZFC) only). We also get results on corresponding logics for L_{lambda, mu} .
Cite
@article{arxiv.math/9201243,
title = {The Hanf numbers of stationary logic. II. Comparison with other logics},
author = {Saharon Shelah},
journal= {arXiv preprint arXiv:math/9201243},
year = {2013}
}