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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Limits of Elenctic Reasoning

A Structural Inapplicability Result
Authors: Berto, Roberto;

Limits of Elenctic Reasoning

Abstract

This preprint establishes a structural limit on the applicability of elenctic reasoning, understood as refutation by contradiction used as a definitional decision procedure. Although elenctic reasoning remains implicitly active in contemporary conceptual critique and methodological practice, its legitimate domain of application is rarely made explicit. The paper proves a necessary condition: elenctic reasoning can function as a decision procedure only in domains that admit invariant definitional targets, here called essentialist domains. In domains lacking such invariance, failure to converge does not indicate logical error but structural inapplicability. Common failure modes such as infinite refinement, forced closure, or treating contextual plurality as error are shown to be expected consequences of this mismatch. The result is independent of historical reconstruction and does not propose an alternative method. It serves as a concise methodological contribution that clarifies when contradiction can legitimately decide and when it cannot, and as a foundation for further work on the governance of inference across domains.

Keywords

applicability, limits of methods, elenctic reasoning, socratic method, epistemology, methodology, definitional inquiry

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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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