Numbers and numerosities

Vieri Benci

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arXiv · 2511.02639

Numbers and numerosities

Vieri Benci

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Abstract

We develop new aspects of the the of numerosity theory; more exactly, we emphasize its relation with the ordinal numbers, cardinal numbers, hyperreal numbers and surreal numbers. In particular, we combine the notion of numerosity with the idea of continuum and we get a definition of Euclidean line which includes all the sets of infinite numbers mentioned above.

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Vieri Benci. 2025-11-04. Numbers and numerosities. https://arxiv.org/abs/2511.02639

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