Prize awarded for largest mathematical proof – physics-math – 09 September 2011 – New Scientist

http://www.newscientist.com/article/dn20893-prize-awarded-for-largest-mathematical-proof.html

I love numbers and science, their simplicity and absoluteness. In an equation, if it is solvable, then there is a rational explanation for the solution. In many cases there is only one correct answer. All of my favorite science and engineering puzzles are this way. With one elegant indisputable solution. Unfortunately life is not always, or even usually, this way. Possibly why I love hard science (not soft science like psychology or part of biology) so much. It is ordered and logical, once you finally figure it out.

Up until today I thought I like math. I was actually under the impression that I enjoyed math itself. Until I read the above article and realized that the thought of numbers and equations that take up hundreds of thousands of pages, decades, and dozens of Ph.Ds to solve. It gave me a headache just thinking about math that complex. I’m not saying that I couldn’t read Aschbacher’s 1200 page paper and understand most of it. Granted it may take me as long to fully understand it as it took him to write it. But the thought of having a job like his filled me with dread. Which to me was odd, because if I truly LOVED numbers and math as I thought I did, I should relish the thought of diving into a pool of unsolved mathematical mystery and emerging with buried treasure. But I don’t. At least not on that scale.

What I realized is that I love numbers when their solutions result in actionable knowledge. If I use regression or integration to determine when a condition is at it’s best/worst or simply IS, and that knowledge means that this doohickey should be like ‘this’, or made out of ‘that’, or is ‘something’. I’m not saying that their solution doesn’t MEAN something. It means A LOT, and generations from now, their theorem will effect the way things work that the average person doesn’t even know exist despite depending on them. But when that equation was solved they didn’t then run out and MAKE something. It simply was a completed equation.

I LOVE puzzles, but what I really love are solutions and MAKING things. Not simply making them, but making them better than before. I love research, and part of all science is hypothesis and theory. But I could not live in a world of theory, where solutions aren’t actionable outside the world of more theory.