Forcing axioms and the continuum problem: Hilbert's first problem revisited

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Aspero, David and Schindler, Ralf (2025) Forcing axioms and the continuum problem: Hilbert's first problem revisited. In: International Congress of Mathematicians (ICM) Proceedings 2026. UNSPECIFIED. (In Press)

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Abstract

The continuum problem has recently seen a revival, brought about by advances involving strong forcing axioms and other natural principles extending the standard axiomatization for set theory. In this article we survey these developments. This is a slightly edited version of the slides of our ICM talk.

Item Type: Book Section
Faculty \ School: Faculty of Science > School of Engineering, Mathematics and Physics
UEA Research Groups: Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR)
Depositing User: LivePure Connector
Date Deposited: 11 Mar 2026 16:30
Last Modified: 11 Mar 2026 16:30
URI: https://ueaeprints.uea.ac.uk/id/eprint/102315
DOI:

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