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Torsten Brodén's work on the foundations of Euclidean geometry
University of Borås, School of Education and Behavioural Science.
2007 (English)In: Historia Mathematica, ISSN 0315-0860, E-ISSN 1090-249X, Vol. 34, no 4, 402-427 p.Article in journal (Refereed) Published
Abstract [en]

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
Academic Press , 2007. Vol. 34, no 4, 402-427 p.
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Other Mathematics
Identifiers
URN: urn:nbn:se:hb:diva-2435DOI: 10.1016/j.hm.2007.02.001Local ID: 2320/3986OAI: oai:DiVA.org:hb-2435DiVA: diva2:870529
Available from: 2015-11-13 Created: 2015-11-13 Last updated: 2016-11-23Bibliographically approved

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