Hilbert's eighteenth problem
GPTKB entity
Properties (55)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical problem
|
| gptkbp:addresses |
the completeness of geometric axioms
|
| gptkbp:designedBy |
gptkb:David_Hilbert
|
| gptkbp:field |
mathematics
|
| gptkbp:focusesOn |
the foundations of geometry
|
| gptkbp:hasInventor |
mathematical logic
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hilbert's eighteenth problem
|
| gptkbp:influencedBy |
Euclidean geometry
|
| gptkbp:isActiveIn |
mathematical philosophy
|
| gptkbp:isAimedAt |
understanding geometric structures
|
| gptkbp:isAssociatedWith |
gptkb:Hilbert's_axioms
topology |
| gptkbp:isCitedIn |
textbooks
academic papers |
| gptkbp:isConnectedTo |
formalism in mathematics
|
| gptkbp:isConsidered |
philosophy of mathematics
a foundational issue open problem a significant problem |
| gptkbp:isDiscussedIn |
conferences
mathematicians mathematical literature philosophers of mathematics mathematical seminars |
| gptkbp:isExaminedBy |
geometry courses
geometry textbooks geometry research papers |
| gptkbp:isExploredIn |
historical context
research articles historical analysis academic discussions geometry research |
| gptkbp:isInfluencedBy |
mathematical theory
modern geometry abstract mathematics |
| gptkbp:isLinkedTo |
set theory
the study of dimensions the study of shapes |
| gptkbp:isPartOf |
gptkb:Hilbert's_problems
gptkb:Hilbert's_list_of_problems mathematical discourse mathematical history the study of mathematics |
| gptkbp:isReflectedIn |
mathematical education
|
| gptkbp:isRelatedTo |
the concept of infinity
axiomatic systems mathematical proofs theoretical mathematics foundational crisis in mathematics |
| gptkbp:issues |
the axiomatization of geometry
|
| gptkbp:isUtilizedFor |
mathematicians
theoretical physicists students of mathematics |
| gptkbp:relatedTo |
gptkb:Hilbert's_problems
|
| gptkbp:yearEstablished |
1900
|