Friday, October 23, 2009
Statements like this bother me, because intuitively they seem correct, but are actually wrong. Just because something is infinite and non-repeating DOES NOT mean that all possibilities are expressed.
For example, consider the infinite sequence: 17, 34, 51, 68, 85, 102, 119, 136...
It increases by 17 each time. It's infinite, and it never repeats, but the number 2 is never going to exist in this set. Or 3, or 4, or 5, or 6, etc... 16/17 of all numbers will never be part of it. Infinity doesn't mean the same as everything.
Well, now I had to make this: