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  2. Monty Hall problem - Wikipedia

    en.wikipedia.org/wiki/Monty_Hall_problem

    Monty Hall problem. In search of a new car, the player chooses a door, say 1. The game host then opens one of the other doors, say 3, to reveal a goat and offers to let the player switch from door 1 to door 2. The Monty Hall problem is a brain teaser, in the form of a probability puzzle, based nominally on the American television game show Let ...

  3. Countdown (game show) - Wikipedia

    en.wikipedia.org/wiki/Countdown_(game_show)

    The final round of the game is the Countdown Conundrum, in which the contestants are shown a combination of two or three words with a total of nine letters. They have 30 seconds to form a single word using all the letters and must buzz in to respond (a bell for the champion and a buzzer for the challenger).

  4. Double entendre - Wikipedia

    en.wikipedia.org/wiki/Double_entendre

    Lodgings to Let, an 1814 engraving featuring a double entendre. He: "My sweet honey, I hope you are to be let with the Lodgins!" She: "No, sir, I am to be let alone".. A double entendre [note 1] (plural double entendres) is a figure of speech or a particular way of wording that is devised to have a double meaning, one of which is typically obvious, and the other often conveys a message that ...

  5. Goldbach's conjecture - Wikipedia

    en.wikipedia.org/wiki/Goldbach's_conjecture

    Goldbach's conjecture is one of the oldest and best-known unsolved problems in number theory and all of mathematics.It states that every even natural number greater than 2 is the sum of two prime numbers.

  6. Fermat's Last Theorem - Wikipedia

    en.wikipedia.org/wiki/Fermat's_Last_Theorem

    Fermat–Catalan conjecture. In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b, and c satisfy the equation an + bn = cn for any integer value of n greater than 2. The cases n = 1 and n = 2 have been known since antiquity to have infinitely many ...

  7. Beale ciphers - Wikipedia

    en.wikipedia.org/wiki/Beale_ciphers

    The first letter of the 811th word of the modified text ("fundamentally") is always used by Beale as a "y". The first letter of the 1005th word of the modified text ("have") is always used by Beale as an "x". Finally, in the decoded text there are six errors, probably due to wrong transcription of the original paper: [citation needed]

  8. Zeno's paradoxes - Wikipedia

    en.wikipedia.org/wiki/Zeno's_paradoxes

    Zeno's arguments may then be early examples of a method of proof called reductio ad absurdum, also known as proof by contradiction. Thus Plato has Zeno say the purpose of the paradoxes "is to show that their hypothesis that existences are many, if properly followed up, leads to still more absurd results than the hypothesis that they are one."

  9. Hilbert's paradox of the Grand Hotel - Wikipedia

    en.wikipedia.org/wiki/Hilbert's_paradox_of_the...

    Hilbert's paradox of the Grand Hotel. Hilbert's paradox of the Grand Hotel ( colloquial: Infinite Hotel Paradox or Hilbert's Hotel) is a thought experiment which illustrates a counterintuitive property of infinite sets. It is demonstrated that a fully occupied hotel with infinitely many rooms may still accommodate additional guests, even ...