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

Aspero, David and Schindler, Ralf (2026) Forcing axioms and the continuum problem: Hilbert's first problem revisited. In: Proceedings of the International Congress of Mathematicians 2026 - Volume 3. UNSPECIFIED. ISBN 978-1-61197-865-0

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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:	03 Aug 2026 15:00
URI:	https://ueaeprints.uea.ac.uk/id/eprint/102315
DOI:	10.1137/25M180295X

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