Inconsistency of ℕ?

Reading the infinite list, starting from 0, of all numbers of the form 1/n , one sees that not all numbers exist simultaneously, thus contradicting the Axiom of Infinity and then actual infinite.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-09
DOI
https://doi.org/10.5281/zenodo.22674651
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

Reading the infinite list, starting from 0, of all numbers of the form 1/n , one sees that not all numbers exist simultaneously, thus contradicting the Axiom of Infinity and then actual infinite.

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Mathematical and Theoretical Analysis
DOIOpen Access PDFOpenAlex
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