Woodin Cardinals and the Consistency Strength of the Proper Forcing Axiom

Zenodo (CERN European Organization for Nuclear Research) 2026 Open access

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Authors: Zen Revista, 10 MFC
DOI: 10.5281/zenodo.18146116
Cited by: 0

Abstract

We establish the lower bound consistency strength of the Proper Forcing Axiom by constructing a canonical inner model with a Woodin cardinal from the failure of square principles.

Fields of Study & Subjects

Advanced Topology and Set Theory Computability Logic AI Algorithms Reasoning and Knowledge

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
4 January 2026