December 14, 2003

HE FOUND IT:

In Archimedes' Puzzle, a New Eureka Moment (GINA KOLATA, 12/14/03, NY Times)

Twenty-two hundred years ago, the great Greek mathematician Archimedes wrote a treatise called the Stomachion. Unlike his other writings, it soon fell into obscurity. Little of it survived, and no one knew what to make of it.

But now a historian of mathematics at Stanford, sifting through ancient parchment overwritten by monks and nearly ruined by mold, appears to have solved the mystery of what the treatise was about. In the process, he has opened a surprising new window on the work of the genius best remembered (perhaps apocryphally) for his cry of "Eureka!" when he discovered a clever way to determine whether a king's crown was pure gold.

The Stomachion, concludes the historian, Dr. Reviel Netz, was far ahead of its time: a treatise on combinatorics, a field that did not come into its own until the rise of computer science.

The goal of combinatorics is to determine how many ways a given problem can be solved. And finding the number of ways that the problem posed in the Stomachion (pronounced sto-MOCK-yon) can be solved is so difficult that when Dr. Netz asked a team of four combinatorics experts to do it, it took them six weeks.


Now if someone would just get cracking on Zeno's Paradox...

Posted by Orrin Judd at December 14, 2003 7:43 AM
Comments

Actually, someone has.

See Scientific American (about 10 years ago) for a mathematical discussion of Zeno's paradox.

Posted by: Jeff Guinn at December 14, 2003 11:42 AM

Uh, Newton took care of it.

Posted by: Harry Eagar at December 14, 2003 2:55 PM

Well, yes, there is Calculus. The Sci Am article looked at numbers from a different viewpoint though. Something about quantum math. But it has been awhile...

Posted by: Jeff Guinn at December 14, 2003 8:18 PM
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