AI & Computingpreprint2026-08-23

Inconsistency of ℕ

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Abstract

The graphical-geometrical representation of ℕ, and hence of actual infinity, requires the existence of infinitesimal intervals. However, such intervals do not exist when the representation is based on the rational numbers.

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View paper (DOI)Open access versionOpenAlexZenodo (CERN European Organization for Nuclear Research)Published 2026-08-23

Authors: Enrico Pier Giorgio Cadeddu