- Giuseppe Veronese
Giuseppe Veronese (
May 7 ,1854 -July 17 1917 ) was an Italianmathematician . He was born inChioggia , nearVenice .Although his work was severely criticised as unsound by
Peano , he is now recognised as having priority on many ideas that have since become parts oftransfinite number s andmodel theory , and as one of the respected authorities of the time, his work served to focus Peano and others on the need for greater rigor.He is particularly noted for his
hypothesis of relative continuity which was the foundation for his development of the first non-archimedean linear continuum .Veronese produced several significant monographs. The most famous appeared in 1891, "Fondamenti di geometria a più dimensioni e a più specie di unità rettilinee esposti in forma elementare", normally referred to as "Fondamenti di geometria" to distinguish it from Veronese' other works also styled "Fondamenti". It was this work that was most severely criticised by both Peano and Cantor, however Levi-Civita described it as "masterful" and
Hilbert as "profound".References
*
Philip Ehrlich (ed) "Real Numbers, Generalisations of the Reals, and Theories of Continua", 1994.
* Paola Cantu', "Giuseppe Veronese e i fondamenti della geometria" [Giuseppe Veronese and the Foundations of Geometry] , Milano, Unicopli, "Biblioteca di cultura filosofica, 10", 1999, 270 pp. ISBN 9788840005898.External links
*
* [http://historical.library.cornell.edu/cgi-bin/cul.math/docviewer?did=01460002&seq=5 Fondamenti di geometria] , full text in Italian, as image files.
* [http://www.andrews.edu/~calkins/math/biograph/199899/biopeano.htm Peano's dismissal] of Veronese' work.
* [http://www.cs.man.ac.uk/~pt/Practical_Foundations/html/s18.html 'Generic points'] attributed to Veronese.
* [http://digilander.libero.it/paola.cantu/Giuseppe%2520Veronese2.html Biography & Bibliography] by P. Cantù
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