impossibility

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#impossibility

Falsehood and Impossibility Are Different Directions in an AI's Representation of Language

arXiv cs.CL · yesterday Cached

This paper reports an activation study of Gemma 3 4B IT showing that the model's internal representations distinguish necessary falsehoods (impossibilities) from contingent falsehoods, with impossibility directions orthogonal to truth directions and overlapping with semantic anomaly directions.

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#impossibility

The Attribution Impossibility: No Feature Ranking Is Faithful, Stable, and Complete Under Collinearity

arXiv cs.LG · 2026-05-22 Cached

This paper proves that no feature ranking can be simultaneously faithful, stable, and complete under collinearity, characterizing the full attribution design space and providing a formally verified impossibility theorem in explainable AI.

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