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Famous Mathematicians: Cantor Traditional Cache

This cache has been archived.

MathProfessor: Time to let this one go and free up the area.

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Hidden : 11/13/2011
Difficulty:
1.5 out of 5
Terrain:
1.5 out of 5

Size: Size:   micro (micro)

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Geocache Description:

The third of a series of caches along HWY 89 South of Meyers. The cache is a small, camo'd container. Park in the pull out and watch for traffic. Cache may be hard to access in the winter.

Georg Cantor is one of my favorite mathematicians. Much of his work centered on infinite sets. He proved that there are multiple sizes of infinite sets (that’s right, there are bigger infinities…) and really got the study of set theory going.

One reason I love Cantor is that his exploration of infinity let to some interesting paradoxes. For example: If there are an infinite number of different sizes of infinity, then which infinity is that number? Or what about the Cantor Set? Take the numbers between 0 and 1 and remove the middle third. Then remove the middle third of the remaining two intervals. Next remove the middle third of the four smaller intervals. Keep doing this forever. It turns out that you have removed a total of length one from an interval that started with length one, and yet you still have an infinite number of points remaining.

I’m sure it will be no surprise for you to hear that Cantor died in an insane asylum. Hey, anyone who’s into math must be a little crazy…

Additional Hints (Decrypt)

Ubj'f vg unatva?

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)