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…]