Some creative math for the Olympics. Enjoy
When I first read that article, I sure was mad, but thankfully better minds have written what I would liked to have said. Yes math is necessary, not just as a good skill to learn, but in the process of learning it, you gain other skills.
Its great when something makes you smile and this totally made me smile today. The idea that a set can be both open and closed at the same time. Its a very simple proof but since its circular, it leaves you spinning till, well till I had to have a laugh.
First consider the following definition: The set A is considered closed if A = cl(A), or the closure of A. A is considered open if Ac, or the compliment of A, is closed.
To the fun bit: Now all this takes place inside set X, nothing exists outside of it, so X is everything. The opposite, or compliment of X, Xc, would be ∅, or the empty set. The theorem states X and ∅ are both open and closed. How is this?
First lets start with X: X is closed if X = cl(X), which is true since 1) X is a subset of cl(X) and 2) since X is everything, cl(X) is a subset of X, therefore X=cl(X). Now consider ∅, the closure of ∅ is ∅, so ∅ is closed. The compliment of X would be ∅, and since ∅ is closed, X is open. Using the previous result, since X is closed, its compliment, ∅, would be open.
Wow I must really be a mathematician if I read this and get excited lol
Found this over at my favorite site, Lifehacker. So I would be part of the Computers and Mathematics group, just a tic below my fellow Engineers. So yes people, Math is very important.