<p>Two agents commonly know that <i>p</i> if they both know that <i>p</i>, they both know that they both know that <i>p</i>, they both know that they both know that they both know that <i>p</i>, etc. Is common knowledge ever possible? In this paper, I examine two influential arguments to the conclusion that common knowledge is impossible. I argue that they fail because they commit the <i>Zeno Fallacy</i>: the inference from the fact that something needs infinitely many steps to the conclusion that it’s impossible to do.</p>

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Escaping Zeno’s shadow: a defense of common knowledge

  • Yonathan Fiat

摘要

Two agents commonly know that p if they both know that p, they both know that they both know that p, they both know that they both know that they both know that p, etc. Is common knowledge ever possible? In this paper, I examine two influential arguments to the conclusion that common knowledge is impossible. I argue that they fail because they commit the Zeno Fallacy: the inference from the fact that something needs infinitely many steps to the conclusion that it’s impossible to do.