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File: Infinity *Infinity* is a term that's regularly used in everyday language, but in mathematics it's got a very specific meaning. It's a troubled term, and casual use leads to all sorts of problems. To use it properly requires great care. *Infinity* isn't just a big number. Even /thinking/ about it as a number leads to the wrong intuition. If infinity is a number then you should be able to divide by it, or subtract from it, but your intuition is dangerous. For example: what's infinity plus one? Interestingly enough, the correct answer is ... *It*Depends!* * In case you're wondering, it depends on whether you're talking about cardinal or ordinal infinities. ---- Here are some pages that talk about infinity: * BallsInBarrels * CantorVisitsHilbertsHotel * StackingBlocks