Tarski's axioms for geometry
GPTKB entity
Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
axiomatic system
|
| gptkbp:field |
gptkb:geometry
|
| gptkbp:hasAxiom |
gptkb:axiom_of_Euclid
gptkb:axiom_of_continuity axiom of Pasch axiom of betweenness axiom of congruence axiom of identity axiom of lower dimension axiom of segment construction axiom of upper dimension |
| https://www.w3.org/2000/01/rdf-schema#label |
Tarski's axioms for geometry
|
| gptkbp:influenced |
foundations of mathematics
automated theorem proving |
| gptkbp:logicFamilyVariants |
gptkb:first-order_logic
|
| gptkbp:notableFor |
elimination of points at infinity
first-order logic formulation simplicity and completeness |
| gptkbp:proposedBy |
gptkb:Alfred_Tarski
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:purpose |
foundation for Euclidean geometry
|
| gptkbp:relatedTo |
gptkb:Hilbert's_axioms
gptkb:Euclidean_geometry real closed fields |
| gptkbp:yearProposed |
1926
|
| gptkbp:bfsParent |
gptkb:Tarski's_axiom
|
| gptkbp:bfsLayer |
7
|