Torsten Broden's work on the foundations of Euclidean geometry
2007 (English)In: Historia Mathematica, ISSN 0315-0860, E-ISSN 1090-249X, Vol. 34, no 4, 402-427 p.Article in journal (Refereed) Published
The Swedish mathematician Torsten Broden (1857-1931) wrote two articles on the foundations of Euclidean geometry. The first was published in 1890, almost a decade before Hilbert's first attempt, and the second was published in 1912. Broden's philosophical view of the nature of geometry is discussed and his thoughts on axiomatic systems are described. His axiomatic system for Euclidean geometry from 1890 is considered in detail and compared with his later work on the foundations of geometry. The two continuity axioms given are compared to and proved to imply Hilbert's two continuity axioms of 1903.
Place, publisher, year, edition, pages
2007. Vol. 34, no 4, 402-427 p.
Torsten Brodén, Euclidean geometry, Foundations of geometry, Axiomatic system, Continuity axioms
IdentifiersURN: urn:nbn:se:uu:diva-96552DOI: 10.1016/j.hm.2007.02.001ISI: 000252035600003OAI: oai:DiVA.org:uu-96552DiVA: diva2:171160