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ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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On the Implicit Ontological Transitions in Classical Analysis

descriptionPublicationkeyboard_double_arrow_right Preprint 21 Jan 2026 English Publisher:Zenodo
Authors: Nekludoff, Alexey A.;

doi: 10.5281/zenodo.18322653 , 10.5281/zenodo.18322654

On the Implicit Ontological Transitions in Classical Analysis

Abstract

This paper examines the structural role of the limit operator in classical real analysis, arguing that it induces an implicit change in descriptive level. The analysis contrasts this practice with explicit extensions in complex analysis and situates the discussion within historical critiques of infinitesimal reasoning.

Keywords

computability, classification, history of mathematics, real analysis, limits, continuity, foundations of analysis

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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
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