Reflection principles, generic large cardinals, and the Continuum Problem
Logic
2020-09-08 v2
Abstract
Strong reflection principles with the reflection cardinal or imply that the size of the continuum is either or or very large. Thus, the stipulation, that a strong reflection principle should hold, seems to support the trichotomy on the possible size of the continuum. In this article, we examine the situation with the reflection principles and related notions of generic large cardinals.
Keywords
Cite
@article{arxiv.2009.01609,
title = {Reflection principles, generic large cardinals, and the Continuum Problem},
author = {Sakaé Fuchino and André Ottenbreit Maschio Rodrigues},
journal= {arXiv preprint arXiv:2009.01609},
year = {2020}
}