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Preprint . 2026
License: CC BY
Data sources: Datacite
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Inconsistency of ℕ

descriptionPublicationkeyboard_double_arrow_right Preprint 13 Mar 2026 English Publisher:Zenodo
Authors: Cadeddu, Enrico P. G.;

doi: 10.5281/zenodo.19009206

Inconsistency of ℕ

Abstract

Inconsistency of the actual infinity, thus ℕ, follows from the strict inclusion of the natural numbers in ω.

Keywords

contradiction, omega, infinite number, proper subset, natural numbers, chain, inconsistency, infinity, inclusion, proof, inconsistency of natural numbers set, transfinite ordinal sum, successors, axiom of infinity, actual infinity, inconsistency of infinity

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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