English

The measuring principle and the continuum hypothesis

Logic 2024-01-30 v5

Abstract

We show that one can force the Measuring principle without adding any new reals. We also show that it is consistent with the large continuum. These results answer two famous questions of Justin Moore.

Cite

@article{arxiv.2207.08048,
  title  = {The measuring principle and the continuum hypothesis},
  author = {Mohammad Golshani and Saharon Shelah},
  journal= {arXiv preprint arXiv:2207.08048},
  year   = {2024}
}

Comments

There are some gaps in the proofs. We will soon replace a new version fixing them

R2 v1 2026-06-25T00:58:41.945Z