Elementary numerosity and measures | Zendy

Vieri Benci | Zendy; Emanuele Bottazzi | Zendy; Mauro Di Nasso | Zendy

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Elementary numerosity and measures

Author(s) -

Vieri Benci,

Emanuele Bottazzi,

Mauro Di Nasso

Publication year - 2014

Publication title -

journal of logic and analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.278

H-Index - 4

ISSN - 1759-9008

DOI - 10.4115/jla.2014.6.3

Subject(s) - numerosity adaptation effect , mathematics , cardinality (data modeling) , set (abstract data type) , discrete mathematics , computer science , data mining , epistemology , philosophy , perception , programming language

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,\udwe prove a general compatibility result between such elementary numerosities and measures

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