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Thread: 1 = 2

  1. #1
    Senior Member Alea_iacta_est's Avatar
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    Default 1 = 2

    Found this highly amusing mathematical proof that concluded that 1 = 2, so without further ado, here it is.

    1. Let A = B

    2. Multiply both sides by A.

    A^2 = AB

    3. Add (A^2 - 2AB) to both sides

    A^2 + A^2 - 2AB = AB + A^2 - 2AB

    4. Factor the left side of the equation, and collect right terms on the right

    2(A^2 - AB) = A^2 - AB

    5. Divide both sides by (A^2 - AB)

    2 = 1

  2. #2
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    i've seen it before.
    xisnotx, get it?
    it's the exact same proof.
    you can define x as anything, even what it can't possibly be.
    therefore, logic is limiting.

  3. #3
    Senior Member nemo's Avatar
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    Quote Originally Posted by Alea_iacta_est View Post
    1. Let A = B

    5. Divide both sides by (A^2 - AB)
    This pains my soul.
    You can't wait for inspiration. You have to go after it with a club. - Jack London

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    Happy Dancer uumlau's Avatar
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    There are several variations on a theme of this proof. The error with all of them is division by zero (because A = B, the expression you factor out is zero, and 0*X = 0*Y is true for all values X and Y).
    An argument is two people sharing their ignorance.

    A discussion is two people sharing their understanding, even when they disagree.

  5. #5

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    Quote Originally Posted by nemo View Post
    This pains my soul.
    Mine too.

    I like this one a bit better:
    1=sqrt(1)=sqrt(-1*-1)=sqrt(-1)*sqrt(-1)=i*i=-1.

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    failed poetry slam career chubber's Avatar
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    Quote Originally Posted by ygolo View Post
    Mine too.

    I like this one a bit better:
    1=sqrt(1)=sqrt(-1*-1)=sqrt(-1)*sqrt(-1)=i*i=-1.
    That is indeed a conundrum.

  7. #7
    Nips away your dignity Fluffywolf's Avatar
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    Default

    Quote Originally Posted by Alea_iacta_est View Post
    Found this highly amusing mathematical proof that concluded that 1 = 2, so without further ado, here it is.

    1. Let A = B

    2. Multiply both sides by A.

    A^2 = AB

    3. Add (A^2 - 2AB) to both sides

    A^2 + A^2 - 2AB = AB + A^2 - 2AB

    4. Factor the left side of the equation, and collect right terms on the right

    2(A^2 - AB) = A^2 - AB

    5. Divide both sides by (A^2 - AB)

    2 = 1
    Wrong because A = B and you forgot that halfway.

    Explanation:

    Quote Originally Posted by Alea_iacta_est View Post

    1. Let A = B

    2. Multiply both sides by A.

    AA = AB

    3. Add (AA - 2AB) to both sides

    AA + AA - 2AB = AB + AA - 2AB



    4. Factor the left side of the equation, and collect right terms on the right

    Consider A=B

    X = A or B

    XX + XX - 2XX = XX + XX - 2XX
    X = X
    Just because of a misuse of the to the power symbol, does not mean something that is logic, suddenly isn't.
    ~Self-depricating Megalomaniacal Superwolf

  8. #8
    Nips away your dignity Fluffywolf's Avatar
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    Quote Originally Posted by ygolo View Post
    Mine too.

    I like this one a bit better:
    1=sqrt(1)=sqrt(-1*-1)=sqrt(-1)*sqrt(-1)=i*i=-1.
    Just "-1 * -1 = 1" is enough to see the logical conundrum, but then, so is -1 or any negative number in fact. It is impossible to have -1 of something after all.
    ~Self-depricating Megalomaniacal Superwolf

  9. #9
    redundant descriptor netzealot's Avatar
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    Quote Originally Posted by Alea_iacta_est View Post
    5. Divide both sides by (A^2 - AB)

    2 = 1
    If A=B, then A^2 = AA = AB, and anything minus itself is zero. You can't divide by zero.

    null = null... noting new about that.
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  10. #10
    Senior Member Mal12345's Avatar
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    Default

    Quote Originally Posted by ygolo View Post
    Mine too.

    I like this one a bit better:
    1=sqrt(1)=sqrt(-1*-1)=sqrt(-1)*sqrt(-1)=i*i=-1.
    Are you sure that 1=sqrt(1)?
    "Everyone has a plan till they get punched in the mouth." Mike Tyson
    “Culture?” says Paul McCartney. “This isn't culture. It's just a good laugh.”

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