"Simple" problems

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Thread: "Simple" problems

  1. #1
    φιλομαθής Zhen Lin's Avatar Vice-Webmaster
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    Default "Simple" problems

    The aim of the game: Write a deceptively simple question or problem.

    The catch: A solution, or a link to further information, must be provided for the desperately curious.

    What is 1? What is 2? What is 3? Define the natural numbers. Demonstrate that 2 + 2 = 4 using your definition.


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    Java Girl Barb's Avatar Retired Staff
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    Why is the sky blue?


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    φιλομαθής Zhen Lin's Avatar Vice-Webmaster
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    Why is it that for natural numbers [1, 2, 3, ...] a, b, c and n, and for n greater than 2, are there no solutions for the equation an + bn = cn?


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    Unseen Watcher Murgatroyd's Avatar
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    Is it true that every even number greater than 2 can be written as the sum of two primes?

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    Java Girl Barb's Avatar Retired Staff
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    Why are there no living animals as large as the dinosaurs?


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    ∠(>w<) #634 Argy's Avatar Retired Staff
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    What is the most straightforward way to define ignorance?



    Spoiler tags don't work, so you might have to wait for the answer.

  7. #7
    john1991
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    If a tree falls down and no one is there to hear it, does it make a sound?


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    May the Aura be with you. FabuVinny's Avatar
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    But seriously, If a tree falls in the woods and no one is around to hear it, does it make a noise?


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    Java Girl Barb's Avatar Retired Staff
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    Here's a riddle for you: A girl is facetious. She is also abstemious. She gets pneumonia. Based on these clues, what American tree is she most like?


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    φιλομαθής Zhen Lin's Avatar Vice-Webmaster
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    Those are not so much "simple" problems as they are out-of-the-box-thinking riddles...

    Anyway.

    Imagine you are on a game show. There are three doors. Behind one door is a goat. Behind another is a car. The other door has nothing behind it. You pick one. The host must open one of the two doors without a car behind it, and he does so. He offers you a chance to switch your choice to the other door.

    Why do your chances of winning the car double when you switch?


  11. #11
    john1991
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    Quote Originally Posted by FabuVinny
    But seriously, If a tree falls in the woods and no one is around to hear it, does it make a noise?

    Hah???? Your just confusing me now. Sound is sound you can hear it.

    What is the most spoken language in the world?

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    φιλομαθής Zhen Lin's Avatar Vice-Webmaster
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    That's not a deceptively simple question.

    No.

    Yes, it is a very deceptively simple question. It really depends on your definition of 'language', and 'speak'. If by speak you include second, third, fourth, nth-language speakers, then, indeed, it's probably English. By first language speakers, depending on your definition of language, it's Chinese, or Mandarin.

  13. #13
    john1991
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    Even if its the first language speakers English would win because if you put together all the English countries like UK, America, Australia, Canada- its more than the people who speaks Chinese or mandarin.

    Whats π (Pie)=?
    Last edited by john1991; 17th October 2005 at 03:55 PM.

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    Java Girl Barb's Avatar Retired Staff
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    Whats π (Pie)=?

    "Pie," as you've spelled it, is a dessert made with fruit. It's eaten best with ice cream.

    "Pi," the number, is 3.14159265359...ad infinitum.

    I have a question: what is the difference between a proof, a conjecture, and a lemma?

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    Unseen Watcher Murgatroyd's Avatar
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    Quote Originally Posted by Barb
    Whats π (Pie)=?

    "Pie," as you've spelled it, is a dessert made with fruit. It's eaten best with ice cream.

    "Pi," the number, is 3.14159265359...ad infinitum.

    I have a question: what is the difference between a proof, a conjecture, and a lemma?
    A conjecture is a mathematical statement that is believed to be true, and has withstood substantial testing, but has not been proven. When proven, it becomes a theorem, which can then be used as a given in later work. A lemma is a theorem with little significance in and of itself, but which is useful in proving larger results. A proof is simply a set of statements which lead to the logical conclusion that a given statement must be true.

    And pi, the ratio of the circumference of a circle to its diameter, is equal to 4*(1 - 1/3 + 1/5 - 1/7 + 1/9 - ...), among other formulas, and is approximately 3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706 798214808651328230664709384...
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