ParaLogic

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About ParaLogic

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    Junior Member
  • Birthday 11/24/96

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ParaLogic's Activity

  1. ParaLogic added an answer to a question Playing with bases   

  2. ParaLogic added an answer to a question Logic Puzzles   

  3. ParaLogic added an answer to a question Line Up   

  4. ParaLogic added an answer to a question An oldie: Pig Pens   

  5. ParaLogic added an answer to a question Tricky Age   

  6. ParaLogic added an answer to a question A million dollars for a single truth?   

    Hah! Now we bring out the monopoly money!

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  7. ParaLogic added an answer to a question The always liar   

    Oops. I accidentally (mentally) switched Eric/Adam's names when I read the first few lines.
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  8. ParaLogic added an answer to a question The always liar   


    The question 'yes?' is rather vague. I have no idea what he's trying to ask.
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  9. ParaLogic added an answer to a question Twin Paradox??   

  10. ParaLogic added an answer to a question unambiguously describing a number pt.2   

    uno>tres>cuatro<=>seis
    dos>tres>cuatro<=>seis
    cinco<=>cinco
    siete>cinco<=>cinco
    ocho>cuatro<=>seis
    nueve>cinco<=>seis
    diez>cuatro<=>seis

    once, doce, trece, catorce, quince, dieciseis, diecisiete ...

    So it's nowhere as neat. Numbers either end up in the 4=6 loop or at 5.

    Now how about Roman Numerals?



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  11. ParaLogic added an answer to a question One Girl - One Boy   

    At first, I thought this 35 page long argument was ridiculous, but after reading bona/syon's posts above, I can understand some of the trouble surrounding the ambiguity of the question. This is the way I see it:

    There are four possibilities for boy/girl combinations, as mentioned several times by now (I imagine):

    BB
    BG
    GB
    GG

    Note that this categorization does take into account the order of the children. We are shown that one of the children is a girl, which of course eliminates the first combination.This is the point where people jump to the answer of 1/3, since there only seem to be three combinations remaining. However, as I stated before, order does matter if you look at the problem this way. Therefore, there are still four possibilities:

    G1B2
    G2B1
    G1G2
    G2G1

    Where the number indicates order. The girl we see can be either the elder (G1) or younger (G2) sister, so we must look at both possibilities equally. Thus, the probability stands at 1/2, regardless of the order of birth.

    Another way to look at this is to completely disregard order in all of the cases. The resulting combinations are:

    BB
    GB (same as BG!)
    GG

    When BB is eliminated, the probability of GG remains at 1/2.
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  12. ParaLogic added an answer to a question unambiguously describing a number pt.2   

    Wow! I was actually thinking about this exact situation a couple of weeks ago, and I noticed the same convergence.

    But I didn't consider proving it...
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  13. ParaLogic added an answer to a question Greek Cross Dissections   

    I think that's the best solution if you don't re-arrange any pieces until the end, but I didn't say you couldn't..?

    I'll just share my solutions for #7 now, since this thread has passed on.




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  14. ParaLogic added an answer to a question Mixed up chocolate candies   

    Bah, just eat them all!

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  15. ParaLogic added an answer to a question Re-exploration of regular n-gon polygons.   

    I don't like the implications of negative angles, but if you use them, then






    As for irrational numbers...well I don't (want to) know.
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