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.
Elementary numerosity and measures
BENCI, VIERI;Bottazzi , Emanuele;DI NASSO, MAURO
2014-01-01
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.File in questo prodotto:
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