History of the Muddy Children Puzzle
History of the Muddy Children Puzzle
“泥泞的孩子”谜题史
Abstract: 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.
摘要： “泥泞的孩子”谜题是一个关于知识与无知的谜题，它对认知逻辑的发展起到了重要的启发作用。究竟是谁最先提出了这个谜题？目前尚不明确。我们在本文中追溯了过去两个世纪以来逻辑学和文学出版物中“泥泞的孩子”谜题的起源。该谜题激发了无数变体，例如涉及数字或彩色帽子的版本。此外，我们还提出了一种涉及自指（self-reference）的新型帽子谜题。
Subjects: Artificial Intelligence (cs.AI); General Literature (cs.GL); Logic in Computer Science (cs.LO)
学科分类： 人工智能 (cs.AI)；一般文学 (cs.GL)；计算机科学逻辑 (cs.LO)
Cite as: arXiv:2606.13703 [cs.AI] (or arXiv:2606.13703v1 [cs.AI] for this version)
引用格式： arXiv:2606.13703 [cs.AI]（或此版本的 arXiv:2606.13703v1 [cs.AI]）