INFINITY

摘要

With infinity, we made a monster. Our minds demand that it should exist - only to rapidly melt at the consequences of a concept that is, by definition, too big for our brains. The pleasure and the pain start when we write out the whole numbers: 1,2,3,4... There is no obvious end point to this sequence -so we call it infinite. But then take the real numbers: the whole numbers plus all the rational and irrational numbers in between (1.5, re, the square root of 2 and so on). There are also infinitely many of these -except you can show that this infinity is a bigger number. "In fact there is an infinite set of infinities and however far you go, you can always get to a bigger one," says.