Elementary numerosity and measures

Vieri Benci, Emanuele Bottazzi, Mauro Di Nasso


In this paper we introduce the notion of elementary numerosity as a special function dened on all subsets of a given set which takes values in a suitable non-Archimedean field, and satises the same formal properties of finite cardinality. We investigate the general compatibility of this notion with the notion of measure. As an application, we present a model for the probability of infinite sequences of coin tosses, directly obtained from a suitable elementary numerosity.

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DOI: https://doi.org/10.4115/jla.2014.6.3

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Journal of Logic and Analysis ISSN:  1759-9008