Hilbert problems

E41774

historical mathematical program list of mathematical problems

The Hilbert problems are a famous list of 23 unsolved mathematical problems presented by David Hilbert in 1900 that profoundly influenced the development of 20th-century mathematics.

Aliases (18)

Statements (51)

Predicate	Object
instanceOf	historical mathematical program → list of mathematical problems →
aim	to guide future research in mathematics →
field	mathematics →
hasPart	Hilbert’s eighteenth problem → Hilbert’s eighth problem → Hilbert’s eleventh problem → Hilbert’s fifteenth problem → Hilbert’s fifth problem → Hilbert’s first problem → Hilbert’s fourteenth problem → Hilbert’s fourth problem → Hilbert’s nineteenth problem → Hilbert’s ninth problem → Hilbert’s second problem → Hilbert’s seventeenth problem → Hilbert’s seventh problem → Hilbert’s sixteenth problem → Hilbert’s sixth problem → Hilbert’s tenth problem → Hilbert’s third problem → Hilbert’s thirteenth problem → Hilbert’s twelfth problem → Hilbert’s twentieth problem → Hilbert’s twenty-first problem → Hilbert’s twenty-second problem → Hilbert’s twenty-third problem →
inception	1900 →
influenced	20th-century mathematics → algebraic geometry → analysis → foundations of mathematics → mathematical logic → number theory → set theory →
languageOfPresentation	German →
namedAfter	David Hilbert →
notableProblem	Diophantine equations decision problem → Riemann hypothesis → consistency of arithmetic → continuum hypothesis →
numberOfItems	23 →
presentedAt	International Congress of Mathematicians →
presentedBy	David Hilbert →
presentedInCity	Paris →
presentedInYear	1900 →
publication	“Mathematical Problems” →
publishedIn	Göttinger Nachrichten →
publishedInYear	1900 →
republishedIn	Bulletin of the American Mathematical Society →
status	partially solved →

Referenced by (20)

Subject (surface form when different)	Predicate
Hilbert problems ("Hilbert’s first problem") → Hilbert problems ("Hilbert’s third problem") → Hilbert problems ("Hilbert’s fourth problem") → Hilbert problems ("Hilbert’s fifth problem") → Hilbert problems ("Hilbert’s sixth problem") → Hilbert problems ("Hilbert’s seventh problem") → Hilbert problems ("Hilbert’s ninth problem") → Hilbert problems ("Hilbert’s eleventh problem") → Hilbert problems ("Hilbert’s thirteenth problem") → Hilbert problems ("Hilbert’s fifteenth problem") → Hilbert problems ("Hilbert’s sixteenth problem") → Hilbert problems ("Hilbert’s eighteenth problem") → Hilbert problems ("Hilbert’s nineteenth problem") → Hilbert problems ("Hilbert’s twentieth problem") → Hilbert problems ("Hilbert’s twenty-first problem") →	hasPart
David Hilbert → Hilbert’s program ("Hilbert’s 1900 Paris lecture") →	notableWork
Millennium Prize Problem →	inspiredBy
Riemann hypothesis ("Hilbert's problems") →	listedIn
Hilbert problems ("“Mathematical Problems”") →	publication