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>> You can't say that with precision, because it is infinity you are struggling with. What you can say is that for every number n there is a cube with n on it,
by alok-g 14y ago
>> You can't say that with precision, because it is infinity you are struggling with. What you can say is that for every number n there is a cube with n on it, and that every cube has exactly one number written on it.
This may be nailing it -- struggling with infinity.
When you say "every number n there is a cube with n on it", what does "every" mean. Does every number include infinity? Or should not not consider infinity to be a number? If the latter, this is probably where I went wrong.
- ColinWright 14y ago> When you say "every number n there is a cube with n on it", > what does "every" mean. To be more precise, every finite number. > Does every number include infinity? No, in these sorts of discussions infinity is never considered to be a number. You need explicitly to be discussing transfinite arithmetic, and we're not. > Or should not not consider infinity to be a number? > If the latter, this is probably where I went wrong. Absolutely you should not be thinking of infinity as a number.