I would like to say that 3.999... is the number directly BEOFRE 4, but isn't actually 4. Any two numbers that are directly together don't have any numbers between them. We don't normally think of this because any sensible numbers aren't directly together.

Think of it this way, modelled with a discrete set of numbers (the integers) 5 and 6 are the closest possible numbers to each other. There isn't an integer in between them, so they must be the same number? I don't think that makes sense, and I don't think your argument is true either.

Posted by Gamer on 2003-10-02 07:22:12