About: Tarski's axioms     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:Speech107109196, within Data Space : dbpedia.org associated with source document(s)
QRcode icon
http://dbpedia.org/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FTarski%27s_axioms

Tarski's axioms, due to Alfred Tarski, are an axiom set for the substantial fragment of Euclidean geometry that is formulable in first-order logic with identity, and requiring no set theory (i.e., that part of Euclidean geometry that is formulable as an elementary theory). Other modern axiomizations of Euclidean geometry are Hilbert's axioms and Birkhoff's axioms.

AttributesValues
rdf:type
rdfs:label
  • Tarski's axioms (en)
  • Axiomes de Tarski (fr)
  • Аксиоматика Тарского (геометрия) (ru)
rdfs:comment
  • Les axiomes de Tarski, dus à Alfred Tarski, sont un système d'axiomes pour la géométrie euclidienne exprimé en logique du premier ordre. Les prédicats utilisés dans le langage sont : * le point y est entre les points x et z : (entre deux ou en anglais betweenness) ; * la distance de x à y est égale à la distance de z à u : (congruence). (fr)
  • Tarski's axioms, due to Alfred Tarski, are an axiom set for the substantial fragment of Euclidean geometry that is formulable in first-order logic with identity, and requiring no set theory (i.e., that part of Euclidean geometry that is formulable as an elementary theory). Other modern axiomizations of Euclidean geometry are Hilbert's axioms and Birkhoff's axioms. (en)
  • Аксиоматика Тарского — система аксиом элементарной евклидовой геометрии, предложенная Альфредом Тарским.Замечательна тем, что формулируется в логике первого порядка с равенством и не требует теории множеств. (ru)
foaf:depiction
  • http://commons.wikimedia.org/wiki/Special:FilePath/Five_segment.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Points_in_a_plane_equidistant_to_two_given_points_lie_on_a_line.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Tarski's_axiom_of_Euclid_C.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Tarski's_continuity_axiom.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Tarski's_formulation_of_Pasch's_axiom.svg
dcterms:subject
Wikipage page ID
Wikipage revision ID
Link from a Wikipage to another Wikipage
Faceted Search & Find service v1.17_git139 as of Feb 29 2024


Alternative Linked Data Documents: ODE     Content Formats:   [cxml] [csv]     RDF   [text] [turtle] [ld+json] [rdf+json] [rdf+xml]     ODATA   [atom+xml] [odata+json]     Microdata   [microdata+json] [html]    About   
This material is Open Knowledge   W3C Semantic Web Technology [RDF Data] Valid XHTML + RDFa
OpenLink Virtuoso version 08.03.3330 as of Mar 19 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 54 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software