Elementary numerosity and measures

Por • 28 jun, 2016 • Sección: Educacion

Vieri Benci, Emanuele Bottaziz, Mauro di Nasso

Abstract: In this paper we introduce the notion of elementary numerosity as a special function defined on all subsets of a given set which takes values in a suitable nonArchimedean field and satisfies the same formal properties as finite cardinality. By improving a classic result by C.W. Henson in nonstandard analysis, we prove a general compatibility result between such elementary numerosities and measures.

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 2010 Mathematics Subject Classification 26E30; 28E15; 26E35; 28E15; 60A05

(primary); (secondary)

Keywords: NonArchimedean mathematics, measure theory, nonstandard analysis, numerosities.

http://www.logicandanalysis.org/index.php/jla/article/view/212/93

http://www.logicandanalysis.org/index.php/jla/issue/view/13

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