Unverified50% confidenceFactExact time
When base recidivism rates differ, the two fairness standards of "group balance in predictive error rates" and "predictive accuracy calibration" cannot be satisfied simultaneously in mathematical terms, which is known as the "impossibility theorem of fairness".
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10/18/2026
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UnverifiedThe impossibility theorem of fairness states that multiple seemingly reasonable fairness criteria generally cannot be satisfied simultaneously.75% similarUnverified个体公平性与群体公平性之间存在不可兼得性，这一数学结论由图灵奖得主乔恩·克莱因伯格等人于2016年正式证明72% similarUnverified校准只能保证统计意义上的覆盖率，不能保证单次预测的可靠性；若模型未见过某种食物，其区间可能看似合理但实际错误。71% similarVerifiedThe CAP theorem states that consistency, availability, and partition tolerance cannot all be satisfied simultaneously.71% similarUnverifiedIf faithfulness cannot be reliably evaluated, the output of autoformalization cannot be trusted, and downstream theorem proving and mathematical reasoning will inherit these hidden errors.71% similar
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