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Hilbert’s 23 Problems at ICM 2026
Summary
More than 125 years after David Hilbert introduced his famous 23 problems at the 1900 International Congress of Mathematicians, they continue to shape the direction of modern mathematics. The article explains that these problems are not simply a checklist of questions to be solved—many have been fully resolved, others have been shown to be undecidable within standard mathematical axioms, and several have evolved into entirely new research programs that continue to inspire discoveries.
At the 2026 International Congress of Mathematicians, mathematicians will revisit Hilbert’s first and sixth problems, highlighting how advances in areas such as set theory, logic, probability, and the foundations of physics keep these challenges relevant. Rather than marking the end of mathematical inquiry, Hilbert’s problems have opened countless new paths of exploration, demonstrating that every major breakthrough often reveals even deeper and more fascinating questions waiting to be answered.
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