Moral Entropy: Auditing Bias and Uncertainty in Moral Judgment

Maciej Skorski


Abstract
Most work in computational ethics treats annotator disagreement on moral content as noise to be voted away, collapsed into *majority* vote or the more permissive *any-annotator* rule which assigns a label as soon as any annotator flags it.

We argue this uncertainty should instead be modeled and learned from.

We introduce **Moral Entropy**, a Bayesian framework that estimates a full posterior over the true label and decomposes its entropy into *aleatoric* uncertainty (irreducible disagreement about the moral content) and *epistemic* uncertainty (from insufficient or noisy annotation). This lets any heuristic consensus rule be audited against a calibrated ground truth via entropy methods such as cross-entropy/KL, Brier score, and expected calibration error.

Running this model on over 100,000 posts from three corpora spanning fifteen discourse domains, we audit the standard aggregation rules against the resulting posterior and reveal systematic differences in moral labels. Across MFTC and MFRC, the any-annotator rule yields mean false-positive rates of 10.2–19.9% and mean false-negative rates of 38.9–54.8% relative to the Bayesian consensus, while majority-vote and two-vote rules miss 63–83% of reference-positive labels.
Anthology ID:
2026.uncertainlp-main.43
Volume:
The Proceedings of the Third Workshop on Uncertainty-Aware NLP
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Wilker Aziz, Jonathan Berant, Bryan Eikema, Evgenia Ilia, Marie-Catherine de Marneffe, Barbara Plank, Artem Shelmanov, Swabha Swayamdipta, Jörg Tiedemann, Artem Vazhentsev, Raúl Vázquez, Chrysoula Zerva
Venues:
UncertaiNLP | WS
SIG:
Publisher:
Association for Computational Linguistics
Note:
Pages:
704–714
Language:
URL:
https://aclanthology.org/2026.uncertainlp-main.43/
DOI:
Bibkey:
Cite (ACL):
Maciej Skorski. 2026. Moral Entropy: Auditing Bias and Uncertainty in Moral Judgment. In The Proceedings of the Third Workshop on Uncertainty-Aware NLP, pages 704–714, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
Moral Entropy: Auditing Bias and Uncertainty in Moral Judgment (Skorski, UncertaiNLP 2026)
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PDF:
https://aclanthology.org/2026.uncertainlp-main.43.pdf