The Magic Cafe Forum Index » » Puzzle me this... » » 1 = 0 (0 Likes) James F Inner circle Atlanta 1097 Posts  Posted: Jun 27, 2005 05:08 pm 0 A proof that 1=0 a=b a-b+b=b (statment) a-b+b/a-b = b/a-b (divide both sides of the equation by a-b) 1+b/a-b = b/a-b (simplify equation) 1=0 (subtract b/a-b from both sides) Keep in mind this is a false proof. This one is pretty basic but still fun to look at. Can anyone spot the error? James Stephen Buxton Veteran user 311 Posts  Posted: Jun 27, 2005 05:20 pm 0 If a=b, then a-b = 0, so dividing the equation by by a-b is the same as dividing by zero. If you put an infinite number of apes in front of an infinite number of computers, you get a pretty good idea of what internet chat rooms can be like James F Inner circle Atlanta 1097 Posts  Posted: Jun 27, 2005 05:47 pm 0 Yeah you got it. Alright, that one was a little too easy. This one is a little hard to follow unless it is written properly on paper. Ill do my best though. It uses complex numbers. I will use the term 'sqrt' to mean a square root sign. I don't think anyone will get this one that fast. don't ruin it by looking it up, try to find the error yourself. Proof that 1=2 -1/1 = 1/-1 (statement) sqrt-1/1 = sqrt1/-1 (square root both sides) sqrt-1/sqrt1 = sqrt1/sqrt-1 (simplify) i/1 = 1/i (change sqrt-1 intto 'i') i/2 = 1/2i (divide both sides of the equation by 2) i/2 + 3/2i = 1/2i + 3/2i (add 3/2i to both sides of the equation) i(i/2 + 3/2i) = i(1/2i + 3/2i) (multiply both sides by i) i^2/2 + 3i/2i = i/2i + 3i/2i (distribute) -1/2 + 3/2 = 2 + 3/2 (simplify) 2/2 = 4/2 (simplify) 1 = 2 (simplify) mike paris Regular user 179 Posts  Posted: Jun 27, 2005 07:32 pm 0 A little too easy? are you kidding,i just got to learning adding up my fingers and toes, (then I had to recount)he he ,mike Stephen Buxton Veteran user 311 Posts  Posted: Jun 28, 2005 01:32 pm 0 I don't think that this part is correct: 2 + 3/2 simplifies to 4/2 ??? I think that should be 1/2 + 3/2 If you put an infinite number of apes in front of an infinite number of computers, you get a pretty good idea of what internet chat rooms can be like James F Inner circle Atlanta 1097 Posts  Posted: Jun 28, 2005 07:09 pm 0 Stephen, haha! You are exactly right. (I was copying this from a piece of paper I have and made a typo) I actually copied the simplification down wrong. i/2i + 3i/2i (4th line from the bottom) Would simplify to 1/2 + 3/2 which is equal to 4/2 which = 2. Thanks for pointing that out. James The Magic Cafe Forum Index » » Puzzle me this... » » 1 = 0 (0 Likes)
 The views and comments expressed on The Magic Café are not necessarily those of The Magic Café, Steve Brooks, or Steve Brooks Magic. > Privacy Statement <   