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  • Gabriel Uzquiano (2010). How to Solve the Hardest Logic Puzzle Ever in Two Questions. Analysis 70 (1).
    Logic and Philosophy of Logic
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  • 76.2Brian Rabern & Landon Rabern (2008). A Simple Solution to the Hardest Logic Puzzle Ever. Analysis 68 (298):105–112.
    We present the simplest solution ever to 'the hardest logic puzzle ever'. We then modify the puzzle to make it even harder and give a simple solution to the modified puzzle. The final sections investigate exploding god-heads and a two-question solution to the original puzzle.
    Liar Paradox in Logic and Philosophy of Logic
    Algorithmic Complexity in Philosophy of Computing and Information
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    Export citation  | Other links: nottingham.ac.uk interscience.wiley.com   | Scholar | More..
  • 66.0Tim S. Roberts (2001). Some Thoughts About the Hardest Logic Puzzle Ever. Journal of Philosophical Logic 30 (6).
    The Hardest Logic Puzzle Ever was first described by the late George Boolos in the Spring 1996 issue of the Harvard Review of Philosophy. Although not dissimilar in appearance from many other simpler puzzles involving gods (or tribesmen) who always tell the truth or always lie, this puzzle has several features that make the solution far from trivial. This paper examines the puzzle and describes a simpler solution than that originally proposed by Boolos.
    Algorithmic Complexity in Philosophy of Computing and Information
    Logic and Philosophy of Logic
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  • 65.1Brian Rabern & Landon Rabern, In Defense of the Two Question Solution to the Hardest Logic Puzzle Ever.
    In Rabern and Rabern (2008) we presented a two question solution to 'the hardest logic puzzle ever' (as presented in Boolos (1996)), which relied on self-referential questions. In this note we respond to several worries related to this solution. We clarify our claim that some yes-no questions cannot be answered by the gods and thus that asking such questions of the gods will result in head explosion. We argue that the inclusion of exploding head possibilities is neither cheating nor ad (...) hoc but is instead forced upon us by principles related to Tarski’s theorem. We also respond to concerns that have been raised about our use of self-referential questions in support of the two question solution. In particular, we address the worry that there is a revenge problem lurking, which is analogous to revenge problems that arise for purported solutions to the liar paradox. And we make some further observations about the relationship between self-referential questions, truth- telling gods and the semantic paradoxes. In the appendix we give a two question solution to the modified puzzle (where Random randomly answers 'ja' or da'). (shrink)
    Liar Paradox in Logic and Philosophy of Logic
    Philosophy of Information in Philosophy of Computing and Information
    Theories of Truth in Philosophy of Language
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