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

Pick your odd one

The last time I wrote a post, I promised my readers (real and imaginary both) that I would tell them just why I became a mathematics major but I realized, that kind of a thing can NOT be covered in a single post. I have however decided to postpone it a teeny bit, much to the chagrin of my less-procastinating-conscience.

But if someone’s listening, here is a little ‘Pick the odd one out’- it should be interesting.

Incase someone here is going to point out that this is not math; it is. Puzzles, logic, critical reasoning and on to the big words: decision analysis, game theory, optimization, constrained optimization, it is all math. It is still math if you are not computing anything or using a formula. It is still math if you are drawing lines and dots and joining them together (Ever heard of graph theory)… so yes. *insert self-important smirk here* While you solve this puzzle, I will sit down to make good on my promise.