Numerosities of labelled sets: a new way of counting |
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Authors: | Vieri Benci |
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Affiliation: | Dipartimento di Matematica Applicata “U Dini”, Universita degli Studi di Pisa, Via Bonanno 25/b, Pisa 50126, Italy |
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Abstract: | The notions of “labelled set” and “numerosity” are introduced to generalize the counting process of finite sets. The resulting numbers, called numerosities, are then used to develop nonstandard analysis. The existence of a numerosity function is equivalent to the existence of a selective ultrafilter, hence it is independent of the axioms of ZFC. |
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Keywords: | 03E65 26E35 03C20 |
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