Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Moritz_Pasch> ?p ?o }
Showing triples 1 to 96 of
96
with 100 triples per page.
- Moritz_Pasch abstract "Moritz Pasch (8 November 1843, Breslau, Prussia (now Wrocław, Poland) – 20 September 1930, Bad Homburg, Germany) was a German mathematician specializing in the foundations of geometry. He completed his Ph.D. at the University of Breslau at only 22 years of age. He taught at the University of Giessen, where he is known to have supervised 30 doctorates.In 1882, Pasch published a book, Vorlesungen über neuere Geometrie, calling for the grounding of Euclidean geometry in more precise primitive notions and axioms, and for greater care in the deductive methods employed to develop the subject. He drew attention to a number of heretofore unnoted tacit assumptions in Euclid's Elements. He then argued that mathematical reasoning should not invoke the physical interpretation of the primitive terms, but should instead rely solely on formal manipulations justified by axioms. This book is the point of departure for:Similarly concerned Italians: Peano, Mario Pieri, Alessandro PadoaHilbert's work on geometry and mathematical axiomatics in general;All modern thinking about the foundations of Euclidean geometry.Pasch is perhaps best remembered for Pasch's axiom:Given three noncollinear points a, b, c and a line X not containing any of these points, if X includes a point between a and b, then X also includes one and only one of the following: a point between a and c, or a point between b and c.In other words, if a line crosses one side of a triangle, that line must also cross one of the two remaining sides of the same triangle.".
- Moritz_Pasch birthDate "1843".
- Moritz_Pasch birthYear "1843".
- Moritz_Pasch deathDate "1930".
- Moritz_Pasch deathYear "1930".
- Moritz_Pasch wikiPageExternalLink Pasch.html.
- Moritz_Pasch wikiPageExternalLink id.php?id=19496.
- Moritz_Pasch wikiPageID "4449765".
- Moritz_Pasch wikiPageLength "2527".
- Moritz_Pasch wikiPageOutDegree "27".
- Moritz_Pasch wikiPageRevisionID "660225716".
- Moritz_Pasch wikiPageWikiLink Alessandro_Padoa.
- Moritz_Pasch wikiPageWikiLink Axiom.
- Moritz_Pasch wikiPageWikiLink Bad_Homburg.
- Moritz_Pasch wikiPageWikiLink Bad_Homburg_vor_der_Höhe.
- Moritz_Pasch wikiPageWikiLink Breslau.
- Moritz_Pasch wikiPageWikiLink Category:1843_births.
- Moritz_Pasch wikiPageWikiLink Category:1930_deaths.
- Moritz_Pasch wikiPageWikiLink Category:Geometers.
- Moritz_Pasch wikiPageWikiLink Category:German_mathematicians.
- Moritz_Pasch wikiPageWikiLink David_Hilbert.
- Moritz_Pasch wikiPageWikiLink Euclidean_geometry.
- Moritz_Pasch wikiPageWikiLink Euclids_Elements.
- Moritz_Pasch wikiPageWikiLink Euclids_elements.
- Moritz_Pasch wikiPageWikiLink Foundations_of_geometry.
- Moritz_Pasch wikiPageWikiLink Geometry.
- Moritz_Pasch wikiPageWikiLink Germany.
- Moritz_Pasch wikiPageWikiLink Giuseppe_Peano.
- Moritz_Pasch wikiPageWikiLink Kingdom_of_Prussia.
- Moritz_Pasch wikiPageWikiLink Mario_Pieri.
- Moritz_Pasch wikiPageWikiLink Mathematician.
- Moritz_Pasch wikiPageWikiLink Ordered_geometry.
- Moritz_Pasch wikiPageWikiLink Paschs_axiom.
- Moritz_Pasch wikiPageWikiLink Paschs_theorem.
- Moritz_Pasch wikiPageWikiLink Peano.
- Moritz_Pasch wikiPageWikiLink Poland.
- Moritz_Pasch wikiPageWikiLink Primitive_notion.
- Moritz_Pasch wikiPageWikiLink University_of_Breslau.
- Moritz_Pasch wikiPageWikiLink University_of_Giessen.
- Moritz_Pasch wikiPageWikiLink University_of_Wrocław.
- Moritz_Pasch wikiPageWikiLink Weimar_Germany.
- Moritz_Pasch wikiPageWikiLink Weimar_Republic.
- Moritz_Pasch wikiPageWikiLink Wrocław.
- Moritz_Pasch wikiPageWikiLinkText "Moritz Pasch".
- Moritz_Pasch wikiPageWikiLinkText "Pasch".
- Moritz_Pasch wikiPageWikiLinkText "Pasch, Moritz".
- Moritz_Pasch dateOfBirth "1843".
- Moritz_Pasch dateOfDeath "1930".
- Moritz_Pasch hasPhotoCollection Moritz_Pasch.
- Moritz_Pasch name "Pasch, Moritz".
- Moritz_Pasch shortDescription "German mathematician".
- Moritz_Pasch wikiPageUsesTemplate Template:Authority_control.
- Moritz_Pasch wikiPageUsesTemplate Template:Persondata.
- Moritz_Pasch description "German mathematician".
- Moritz_Pasch description "German mathematician".
- Moritz_Pasch subject Category:1843_births.
- Moritz_Pasch subject Category:1930_deaths.
- Moritz_Pasch subject Category:Geometers.
- Moritz_Pasch subject Category:German_mathematicians.
- Moritz_Pasch hypernym Mathematician.
- Moritz_Pasch type Agent.
- Moritz_Pasch type Article.
- Moritz_Pasch type Person.
- Moritz_Pasch type Scientist.
- Moritz_Pasch type Article.
- Moritz_Pasch type Geometer.
- Moritz_Pasch type Mathematician.
- Moritz_Pasch type Scientist.
- Moritz_Pasch type Person.
- Moritz_Pasch type Agent.
- Moritz_Pasch type NaturalPerson.
- Moritz_Pasch type Thing.
- Moritz_Pasch type Q215627.
- Moritz_Pasch type Q5.
- Moritz_Pasch type Person.
- Moritz_Pasch comment "Moritz Pasch (8 November 1843, Breslau, Prussia (now Wrocław, Poland) – 20 September 1930, Bad Homburg, Germany) was a German mathematician specializing in the foundations of geometry. He completed his Ph.D. at the University of Breslau at only 22 years of age.".
- Moritz_Pasch label "Moritz Pasch".
- Moritz_Pasch sameAs Moritz_Pasch.
- Moritz_Pasch sameAs Μόριτζ_Πας.
- Moritz_Pasch sameAs Moritz_Pasch.
- Moritz_Pasch sameAs Moritz_Pasch.
- Moritz_Pasch sameAs Moritz_Pasch.
- Moritz_Pasch sameAs Moritz_Pasch.
- Moritz_Pasch sameAs Moritz_Pasch.
- Moritz_Pasch sameAs Moritz_Pasch.
- Moritz_Pasch sameAs Moritz_Pasch.
- Moritz_Pasch sameAs m.0c327b.
- Moritz_Pasch sameAs Паш,_Мориц.
- Moritz_Pasch sameAs Q61759.
- Moritz_Pasch sameAs Q61759.
- Moritz_Pasch wasDerivedFrom Moritz_Pasch?oldid=660225716.
- Moritz_Pasch givenName "Moritz".
- Moritz_Pasch isPrimaryTopicOf Moritz_Pasch.
- Moritz_Pasch name "Moritz Pasch".
- Moritz_Pasch name "Pasch, Moritz".
- Moritz_Pasch surname "Pasch".