a=b
a^2=ab
a^2+a^2=a^2+ab
2a^2=a^2+ab
2a^2-2ab=a^2+ab-2ab
2a^2-2ab=a^2-ab
2(a^2-ab)=1(a^2-ab)
2=1
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a=b
a^2=ab
a^2+a^2=a^2+ab
2a^2=a^2+ab
2a^2-2ab=a^2+ab-2ab
2a^2-2ab=a^2-ab
2(a^2-ab)=1(a^2-ab)
2=1
failed proof.Quote:
Originally Posted by blwade
Math and fun do NOT belong in the same sentence!! :rolleyes:
a=b
a^2=ab Hence a^2-ab=0
a^2+a^2=a^2+ab
2a^2=a^2+ab
2a^2-2ab=a^2+ab-2ab
2a^2-2ab=a^2-ab
2(a^2-ab)=1(a^2-ab)
The next line does not follow from the line above as you are dividing by 0 and this proves nothing.
2=1
Everyone knows that one. It's a trick, there are lots of solutions but they're all false.
I have another logic puzzle for you all:
There are 100 blue eyed people, 100 brown eyed people and 1 green eyed person on an island. These 201 people don't know their own eye colour and cannot comunicate with each other, except for the green eyed one, who is the guru, and can say only one thing, and this is what he says: "There is somebody with blue eyes". Every night, a ferry comes along and ships all the islanders who know their own eye colour off to the mainland. All of the people on the island are experts in logic, and if there is a solution, they will figure it out. (Therefore any solution is possible, no matter how farfetched). These people cannot approach the sea to look in the water at their reflection, and there are no shiny objects with which they can see themselves.
My question is this: Who is guaranteed to leave the island, and on what day?
thats the point..Quote:
Originally Posted by Lord Drazsyr
1=/=2
there are flaws to any version of that proof you will see, but that is still the proof that gives the illusion that 1=2 which is what was being asked for I believe
Obviously, the green-eyed person points at everybody, in turn, with blue eyes and says "There is somebody with blue eyes." The blue-eyed people can get off the island. Everybody else holds up objects of various colors, points at their eyes, and has somebody else nod yes or no as to whether they match. They all find out that they have brown eyes, except the green-eyed person, who finds out that he/she has green eyes.
*head explodes*
*splattered brain goop all over thread*
blwade is correct. Congradulations you win... a cookie...
I'm afraid not, but good try. I did say that no one can communicate,so pointing at different coloured object is not allowed. Also, sorry if I didn't make this clear, but the guru can only say "there is somebody with blue eyes" once, and he doesn't say it specifically to one person, he says it to everyone as a whole.Quote:
Originally Posted by Zenrax