---
tag: 7F87WBZDA8
kind: concept
name: Numerosity (mathematics)
sources:
  - wikipedia: en:78916915@r1362106254
    locator: Numerosity (mathematics)
    note: adopted
    mention: wikipedia://en/78916915
    sections: [Summary]
same_as:
  wikidata: Q134778142
  wikipedia: Numerosity (mathematics)
inventory: [DCKRDV0H4D]
---

## Summary

The **numerosity** of an [[infinite set|01MKW4R283]], as initially introduced by the Italian mathematician Vieri Benci and later on extended with the help of Mauro Di Nasso and Marco Forti, is a concept that develops Cantor’s notion of [[cardinality|0G0ASKNA6Z]]. While Cantor’s classical cardinality classifies sets based on the existence of a one-to-one correspondence with other sets (defining, for example, $\aleph_0$ for countable sets, $\aleph_1$ and so on for larger infinities), the idea of numerosity aims to provide an alternative viewpoint, linking to the common Euclidean notion that "the whole is greater than the part". All of this naturally leads to the hypernatural numbers.