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April 26, 2026Open Access

No Crowning at the Frontier: The Halting Structure of Finite Explanation

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LQLe Qi

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Overview

Argues that explanations cannot complete their own certification of stopping points, indicating inherent limitations.

Key Points

  • This paper investigates the limitations of completing formal certification in explanations.
  • Analyzes explanatory graphs focusing on stopping points and frontier nodes.
  • Establishes structural incompatibility between frontier status and certification.
  • Distinguishes between certification and defense of explanatory components.
  • Every explanatory graph contains unavoidable stopping points identified as frontier nodes.
  • Frontier status and certification are shown to be incompatible: certification negates stopping points.
  • Inferential principles used in explanations cannot be certified without appealing to higher-order principles.

Cite This Study

Le Qi (2026) studied this question.

synapsesocial.com/papers/69edadd94a46254e215b55f2https://doi.org/10.5281/zenodo.19729054
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