claim
active
claim:the-need-for-genuine-counting-over-lists-of-more-than-two-elements-introduces-the-key-limitation-of-truth-directionsThe need for genuine counting over lists of more than two elements introduces the key limitation of truth directions.
Identified as the exact computational operation that breaks truth direction generalization.
Source paper
extracted_from(2026) · Angelos Poulis · Mark Crovella · Evimaria Terzi
Neighborhood — ranked by edge-count
Findings (1)
finding
- Pinpoints list-length 3 as the exact boundary where genuine counting introduces the limitation.
Questions (1)
question
- Specific sub-question investigated in Appendix B.4 by creating intermediate task variants.
Related by similarity (8)
cosine ≥ 0.65 · no typed edgeEntities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.
- Truth directions emerge in earlier layers for factual tasks and later layers for arithmetic tasks.claim0.832Core empirical claim about the layer-dependence of truth direction emergence as a function of task type.
- Overarching conclusion summarizing the paper's contribution relative to prior universality claims.
- Central empirical conclusion of the paper about the fundamental limits of truth directions.
- Establishes task difficulty as a hard limit that instructions cannot overcome.
- Argues against the single-layer analysis approach of prior work.
- Motivating hypothesis for Section 5's investigation of prompt template effects.
- Safety implication derived from multi-dimensional truth structure finding
- Open question on generalization beyond Gemma and Qwen families