I've never been very good at mathematics. I think my problem started in Third Grade when Miss Lehman was teaching us how to multiply. I had no trouble with the concept that if Johnnie has 0 apples and you multiply that 2 times, he still has zero apples. So, it seemed obvious to me that 0x2=0.
My problem was that 2x0 should equal 2. My reasoning was, if Johnnie has 2 apples and you multiply them 0 times, he still has 2 apples. Just multiplying the two apples zero times doesn't make the two apples disappear. Miss Lehman and I had many discussions on this matter. In the end I caved in to societal pressure and made any multiplication problem with a zero in it equal zero. Even though in my heart, I felt that my argument made perfect sense. Miss Lehman assured me that you can't think about it in that way, and how multiplication is a short form of long addition, and on and on, but I still saw Johnnie with his two apples, he multiplies them zero times and they disappear! Amazing!
This week I read about a mathematician who solved what is known as the "Road Colouring Problem". This problem has gone unsolved for 38 years. Avraham Trahtman, a Russian immigrant to Israel has solved the problem. You can read about it
HERE.
The interesting thing is the applications they say this solution may have:
"The solution to this problem has definitely generated excitement in the mathematical community," he said in an e-mail. Margolis said the solution could have many applications.
"Say you've lost an e-mail and you want to get it back - it would be guaranteed," he said. "Let's say you are lost in a town you have never been in before and you have to get to a friend's house and there are no street signs - the directions will work no matter what."
This could solve the problem of men not wanting to stop to ask for directions. I have lost many things that I would like to have back. This seems like a very important thing.
The difficulty is that when I look at the "Road Coloring Problem", I don't even understand the question, much less the answer. I would love to have some of the math whiz guys that were in my high school class, or perhaps even Mr. Kreider himself, our algebra teacher at least explain the question to me.
You can read Mr. Trahtman's solution to the "Road Coloring Problem" HERE.
Let me know if you understand it.