Mathematician Eugenia Cheng has written a popular, amusing, and fascinating book on the concept of infinity.

Beyond Infinity: An Expedition to the Outer Limits of Mathematics takes up its paradoxes, mathematical conundrums, and important uses.

For example, one mathematical axiom is that:

infinity X infinity = infinity.

But if you work out this equation by dividing both sides by infinity, you get:

infinity = 1

Since that can’t be, infinity must not be a number, exactly. But what is it?

Read an excerpt from her book, taken from *Science Friday.* [Read more…]

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