Hilbert's problems
Famous unsolved questions
Hilbert's problems are a set of twenty-three mathematical problems presented by German mathematician David Hilbert at the International Congress of Mathematicians in Paris in 1900.
These problems, ranging from the foundations of mathematics to number theory and physics, were intended to guide mathematical research in the twentieth century and largely succeeded in doing so.
Some have been solved, others remain open, and a few have been shown to be undecidable within standard mathematical frameworks.
Proving the Riemann hypothesis remains one of the unsolved Hilbert's problems.
- decidabilityAlgorithmic resolution capability
- continuum hypothesisClaim about cardinal sizes
- topologyStudy of spatial arrangement
- completenessState of being whole
- axiomsAccepted starting principles
Euclidean geometry · consistency · prime numbers · logic · set theory · manifolds · proof · foundations · Turing · conjecture · equations · geometry · mathematics · continuum · infinity · number theory · Fermat · probability theory
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