Inconsistency of ℕ

Inconsistency of the actual infinity, thus ℕ, follows from the strict inclusion of the natural numbers in ω, but also by considering the chain of infinitely many terms 1/n and 0, and furthermore, taking an infinite sum of numbers.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-22
DOI
https://doi.org/10.5281/zenodo.21491930
Primary Topic
Mathematical and Theoretical Analysis
Type
preprint
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preprint

Inconsistency of ℕ

Enrico Pier Giorgio Cadeddu
Zenodo (CERN European Organization for Nuclear Research)
Mathematical and Theoretical Analysis
preprint

Inconsistency of ℕ

Enrico Pier Giorgio Cadeddu
preprint en

Abstract

Inconsistency of the actual infinity, thus ℕ, follows from the strict inclusion of the natural numbers in ω, but also by considering the chain of infinitely many terms 1/n and 0, and furthermore, taking an infinite sum of numbers.

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Mathematical and Theoretical Analysis
DOIOpen Access PDFOpenAlex
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Inconsistency of ℕ — Enrico Pier Giorgio Cadeddu · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS