Posted on Friday, August 20, 2004 - 12:36 pm:

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Kakutani's Theorem

One morning, exactly at sunrise, a Buddhist monk began to climb a tall mountain. The narrow path, no more than a foot or two wide, spiraled around the mountain to a glittering temple at the summit. The monk ascended the path at varying rates of speed, stopping many times along the way to rest and to eat the dried fruit he carried with him. He reached the temple shortly before sunset. After several days of fasting and meditation he began his journey back along the same path, starting at sunrise and again walking at variable speeds with many pauses along the way. His average speed descending was, of course, greater than his average climbing speed.

Prove that there is a spot along the path that the monk will occupy on both trips at precisely the same time of day.

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Posted on Tuesday, April 19, 2005 - 10:51 am:

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Decoded at last: the 'classical holy grail' that may rewrite the history of the world
Scientists begin to unlock the secrets of papyrus scraps bearing long-lost words by the literary giants of Greece and Rome
By David Keys and Nicholas Pyke

17 April 2005

For more than a century, it has caused excitement and frustration in equal measure - a collection of Greek and Roman writings so vast it could redraw the map of classical civilisation. If only it was legible.

Now, in a breakthrough described as the classical equivalent of finding the holy grail, Oxford University scientists have employed infra-red technology to open up the hoard, known as the Oxyrhynchus Papyri, and with it the prospect that hundreds of lost Greek comedies, tragedies and epic poems will soon be revealed.

In the past four days alone, Oxford's classicists have used it to make a series of astonishing discoveries, including writing by Sophocles, Euripides, Hesiod and other literary giants of the ancient world, lost for millennia. They even believe they are likely to find lost Christian gospels, the originals of which were written around the time of the earliest books of the New Testament.

The original papyrus documents, discovered in an ancient rubbish dump in central Egypt, are often meaningless to the naked eye - decayed, worm-eaten and blackened by the passage of time. But scientists using the new photographic technique, developed from satellite imaging, are bringing the original writing back into view. Academics have hailed it as a development which could lead to a 20 per cent increase in the number of great Greek and Roman works in existence. Some are even predicting a "second Renaissance".

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Posted on Saturday, April 30, 2005 - 2:41 am:

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Noticed this piece by Tony Smith, who I thought was only a sculptor. I think people nearby thought I was nuts to take a photo of it.

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