Thursday, February 7, 2013

What is proof?

I don't like for a mathematical proof to be more than four pages long if at all possible.  A proof that's over 100 pages in length doesn't even seem like a proof to me.  Okay, so you proved something to five people that can actually understand it.  But everybody else just has to take you and those five eggheads at your word.  But, I suppose in a way, if you can prove one thing just to yourself, you have proven it in a way.  If you build a monster like Frankenstein's monster that nobody ever sees, you have created life without anyone else knowing.  You haven't proven something to the world, but you've at least proven it to yourself.  And that means something.

A complicated proof can have some value to a small number of people.  A simple proof that someone with limited resources can follow can have a much greater value to a much greater number of people.  It's just too darn bad that the world is as complex as it is and so much is out of the common man's reach.  I guess God intended it to be that way to limit our abilities.