English

Are all natural numbers the same

Logic 2020-12-22 v3

Abstract

This is a report on state-of-the-art on the question of developing higher analogues of the forcing axiom PFA. Recently there have been several attempts to develop forcing axioms analogous to the proper forcing axiom (PFA) for cardinals of the form aleph_n where n > 1. We investigate the difficulties of doing this and survey some of the successes

Keywords

Cite

@article{arxiv.2011.11425,
  title  = {Are all natural numbers the same},
  author = {Mirna Džamonja},
  journal= {arXiv preprint arXiv:2011.11425},
  year   = {2020}
}

Comments

A submission for possible publication in the the collection Research Trends in Contemporary Logic (edited by Melvin Fitting, Dov Gabbay, Massoud Pourmahdian, Adrian Rezus, and Ali Sadegh Daghighi) to be published by College Publications in 2020. This version after the 2nd referee report

R2 v1 2026-06-23T20:26:43.580Z