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> 1+1=1, Is it possible?
usr.c
post Aug 22 2002, 09:52 PM
Post #1


Boss, my code's compiling (xkcd)
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Can 1+1 equal 1 and still be mathemetically correct?  :)


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bobhome
post Aug 23 2002, 07:02 AM
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The old timer
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Found this solution on doing a search.

Given a = b then this implies

    a - b + b  =    b

Now divide both sides by (a-b) and we have

    a - b + b       b
    ---------  =  -----
      (a-b)       (a-b)

Then reduce the left side to be
             
          b         b
    1 + -----  =  -----
        (a-b)     (a-b)

Then subtract b/(a-b) from both sides and you have

            1  =  0      

Then add one to both sides and you have

         1 + 1 = 1

Is that the way you did it

BOB


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usr.c
post Aug 23 2002, 08:39 AM
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Boss, my code's compiling (xkcd)
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Mine was a bit different.  Anyway, do you happen to know  where the "grey area" is in your solution?  :)


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Things that I don't suck at: Photography (flickr, JPG Mag), Skydiving, Splitting atoms, Flying a space shuttle
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I have people-skills goddamnit! What is wrong with you people!!! | www.skyrill.com
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bobhome
post Aug 23 2002, 08:53 AM
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NO! I know there is a flaw in it. sad.gif
Quote from Dr.Eathen
Well the first thing to say is that this cannot be done. You cannot use
CORRECT mathematics to prove something that is untrue. Secondly, yes I
have constructed a proof. My challenge to you is to find the flaw. (I
have seen more sophisticated proofs where the flaw is harder to find,
but each one essentially has the same flaw that mine has.)
BOB


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usr.c
post Aug 23 2002, 11:57 AM
Post #5


Boss, my code's compiling (xkcd)
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Indeed!  The grey area is the part where you subtract 'a' from 'b' because technically you're dividing by a zero.


Here's another one:

a = b
a^2 = ab
a^2 - b^2 = ab-b^2
(a-b)(a+b) = b(a-b)
a+b = b
b+b = b
2b = b
2 = 1

* ^: To the power of

original.gif


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Things that I don't suck at: Photography (flickr, JPG Mag), Skydiving, Splitting atoms, Flying a space shuttle
"Don't bail; the best gold is at the bottom of barrels of crap!" -Randy Pausch
I have people-skills goddamnit! What is wrong with you people!!! | www.skyrill.com
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bobhome
post Aug 23 2002, 12:57 PM
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It is a very long time since I was learning maths,Here is a site with a few maths puzzles

http://mcraefamily.com/MathHelp/Puzzle.htm

BOB


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