Open AccessElementary 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