Re: Either Life Exists Elsewhere or The Universe is finite.
[ QUOTE ]
There is another possible problem. In mathematics there are various "degrees" of infinity. the most basic, are the integers (-inf, ..., -1,0,1,..., inf). There are also the "real" numbers, which include numbers such as pi, which are infinitely long decimals, and cannot be written as A/B where A and B are both integers.
It turns out cannot enumerate the real numbers, even using an infinite number of integers. Meaning you can remove 1 real number for each integer (-infinity to infinity) and still be left with infinitely many real numbers.
It follows from this that:
1: a certain thing could possibly exist, and
2: there are an infinite number of things that do exist
does not nescessarily imply that this particular thing does exist.
[/ QUOTE ]
this is exactly what i am saying.
|