arXiv:2606.13703cs.AIcs.GL2026-06
追溯“脏孩子谜题”起源，揭示其对知识逻辑的深远影响
History of the Muddy Children Puzzle
- 通过百年文献梳理谜题源头
- 发现该谜题催生了多种变体
- 提出含自指的新帽子谜题
“脏孩子谜题”是一个关于知识与无知的逻辑谜题，长期以来推动了认识论逻辑的发展。其最早出处尚不明确。本文通过梳理过去两个世纪的逻辑与文学出版物，追溯该谜题的起源。该谜题启发了众多变体，包括涉及数字或彩色帽子的情形。本文还提出一个包含自指的新帽子谜题。
原文摘要 · Abstract (English)
The Muddy Children Puzzle is a puzzle about knowledge and ignorance that has been inspiring for the development of epistemic logic. Who came up with it first? This is unclear. We trace the origin of the Muddy Children Puzzle through logical and literary publications over the past two centuries. The puzzle inspired a numerous variations such as involving numbers or coloured hats. We also present a novel hats puzzle involving self-reference.
逻辑谜题认识论知识推理
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