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A Simple Solution of the Unexpected Hanging Paradox: A kind of a leaky inductive argument solution
(2012)
  • Kedar Joshi
Abstract
From the hangman’s perspective, there are two possibilities – a: the prisoner reasons about which day he can or cannot be hanged, the reasoning that eventually leads him to the paradox; b: the prisoner does not reason. If the prisoner does not reason, he cannot be hanged on Friday, because he would be expecting the hanging on Friday. If the prisoner reasons, he can be hanged on Friday, since he would not be expecting the hanging on Friday. But since the hangman does not know whether the prisoner would or would not reason, the prisoner would not be hanged on Friday. However, on any day except Friday, the prisoner can be hanged, for the hanging would be a surprise in any case: if the prisoner does not reason, any day except Friday would be a surprise to him; if the prisoner does reason, any day, including Friday, would be a surprise to him.

Image: By Pearson Scott Foresman [Public domain], via Wikimedia Commons
Keywords
  • Unexpected Hanging Paradox,
  • Hangman Paradox,
  • Prediction Paradox,
  • Leaky Inductive Argument
Publication Date
March 19, 2012
Citation Information
Kedar Joshi. "A Simple Solution of the Unexpected Hanging Paradox: A kind of a leaky inductive argument solution" (2012)
Available at: http://works.bepress.com/kedar_joshi/39/