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The third of Hilbert's list of mathematical problems, presented in 1900, was the first to be solved. The problem is related to the following question: given any two polyhedra of equal volume , is it always possible to cut the first into finitely many polyhedral pieces which can be reassembled to yield the second?
Boolos provides the following clarifications: [1] a single god may be asked more than one question, questions are permitted to depend on the answers to earlier questions, and the nature of Random's response should be thought of as depending on the flip of a fair coin hidden in his brain: if the coin comes down heads, he speaks truly; if tails ...
Unanswerable questions may not have solutions, but they sure give our minds one heck of a workout. That's what makes them equally fun and frustrating to ponder. Trying to come up with joke answers ...
The question is whether knowing the warden's answer changes the prisoner's chances of being pardoned. This problem is equivalent to the Monty Hall problem; the prisoner asking the question still has a 1 / 3 chance of being pardoned but his unnamed colleague has a 2 / 3 chance.
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With this question, the knight will tell the truth about a lie, while the knave will tell a lie about the truth. Therefore, the given answer will always be the opposite of the correct answer to the question of whether the door leads to the castle. Another posited solution is to ask either man if they would say that their own path leads to freedom.
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The Impossible Quiz is a point-and-click quiz game that consists of 110 questions, [1] [2] using "Gonna Fly Now" as its main musical theme. Notorious for its difficulty, the quiz mixes multiple-choice trick questions similar to riddles, along with various challenges and puzzles. [1] [2] Despite the quiz's name and arduousness, the game is ...