Creating something out of nothing…

I found this on the internet some time ago and its kind of funny and also an example of how things are not what they seem. Let me know if someone can figure out what is actually wrong with this ‘proof’.

0= 0 + 0 + 0 + 0 + 0 + ….

  = (1-1) + (1-1) + (1-1) + (1-1) + …

  = 1 – 1 + 1 – 1 + 1 – 1 + 1 – 1 + …

  = 1 + (-1 + 1) + (-1 + 1) + (-1 + 1) + (-1 + 1) + …

  = 1 + 0 + 0 + 0 + 0 + … =1

Tags: Games and Puzzles, Mathematics, Proof