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Saturday, July 05, 2008

N.Y. Times: Glanville: Doubleday and Darwin (RR)

Inherit the Windup...the latest dandy from Doug Glanville.

There are quantifiable skills that can make someone naturally compatible with the rules of the game, but it’s almost more important to be adaptable. Baseball can update pretty dramatically for a National Pastime. It has the ability to stay both classic and current, without contradiction. On the table of baseball rule changes for late this season is the instant replay, intended to help umpires on difficult home run calls. In the end, if it’s added to the rule book, the game will go on; players — and umpires — who don’t adapt won’t.

As the game changes, what is deemed “talent” changes right along with it. A player is discovered only in the shadow of these rules — rules that were invented and that have matured over time.

If I were to make my baseball experience the basis of answering the question about discovery vs. invention posed by my high school math teacher, I’d say that math was discovered . . . through the lens of our invention.

Repoz Posted: July 05, 2008 at 06:11 PM | 2 comment(s)
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   1. John Brill's #1 Fan (JMN) Posted: July 05, 2008 at 06:56 PM (#2844748)
I'll disagree, and state categorically that math was invented. As you go along, you explore the assumptions that underlie any particular mathematics, and there are different ones.

Doug Glanville is always an interesting read.
   2. Swedish Chef Posted: July 05, 2008 at 07:28 PM (#2844796)
As you go along, you explore the assumptions that underlie any particular mathematics, and there are different ones.

But the fact that we "explore" mathematics means that we have not invented it in any sense that matters, one would expect an inventor to be able to describe the basic properties of his invention.

That and the fact that most everybody seems to end up in basically the same places when they are doing mathematics (Pythagoras theorem independently appeared in India, China and the Mediterranean) is pretty compelling reasons to talk about discovery in mathematics.
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