Elementary numerosity and measures
نویسندگان
چکیده
In this paper we introduce the notion of elementary numerosity as a special function defined on all subsets of a given set Ω which takes values in a suitable non-Archimedean 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. 2010 Mathematics Subject Classification 26E30; 28E15; 26E35; 28E15; 60A05 (primary); (secondary)
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عنوان ژورنال:
- J. Logic & Analysis
دوره 6 شماره
صفحات -
تاریخ انتشار 2014