Infinite wisdom: a new approach to one of mathematics' most notorious problems. From: Science News | Date: August 30, 2003| Author: Klarreich, Erica | COPYRIGHT 2003 Science Service, Inc. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan.  All inquiries regarding rights should be directed to the Gale Group.Copyright information

How many numbers are there? For children, the answer might be a million--that is, until they discover a billion, or a trillion, or a googol. Then, maybe they notice that a googol plus one is also a number, and they realize that although the names for numbers run out, the numbers themselves never do. Yet to mathematicians, the idea that there are infinitely many numbers is just the beginning of an answer. Counterintuitive as it seems, there are many infinities--infinitely many, in f...

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