2021/09/30 by Vieri Benci, Benci, V., Lorenzo Luperi Baglini +1
Computer Science · Mathematics · #FOS: Mathematics #Logic (math.LO) #Mathematical Analysis and Transform Methods #Mathematical and Theoretical Analysis #Numerical Methods and Algorithms
paper · pdf · doi:10.48550/arxiv.2109.15165
openalex publication_date 2021/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Several different versions of the theory of numerosities have been introduced in the literature. Here, we unify these approaches in a consistent frame through the notion of set of labels, relating numerosities with the Kiesler field of Euclidean numbers. This approach allows to easily introduce, by means of numerosities, ordinals and their natural operations, as well as the Lebesgue measure as a counting measure on the reals.