They actually don't know yet whether it is finite or infinite, however, it is also possible for the universe to be finite along one axis and infinite along another.
The other side is that, if it is finite, in any direction, the latest evidence from HST is that it is expanding quickly and accelerating. This would mean that even if it is not currently infinite, it will grow infinitely.
http://map.gsfc.nasa.gov/universe/uni_shape.html
http://map.gsfc.nasa.gov/universe/uni_accel.html
@Silverwind: The number of atoms in the universe isn't known, and the number of atoms in the universe can change. (The laws of conservation of mass and energy are very simplistic, there are actually exceptions. Theoretically, matter can just kind of poof into existence. If you want to go beyond theoretical, we already have turned matter into energy.)
And yeah, as como said, the difference between impossible and improbable is absolutely huge when you are talking about something that might be infinite or infinitely expanding. Impossible is one in infinity, improbably is one in a googolplex. If it is one in infinity, then the set will never occur (IE, infinity planets can never be checked for life) and so it would be statistically impossible. However, you know how many googolplex there are in infinity? Infinity! That should mean that we will find an infinite number of planets with life on them.
The other side is that, if it is finite, in any direction, the latest evidence from HST is that it is expanding quickly and accelerating. This would mean that even if it is not currently infinite, it will grow infinitely.
http://map.gsfc.nasa.gov/universe/uni_shape.html
http://map.gsfc.nasa.gov/universe/uni_accel.html
@Silverwind: The number of atoms in the universe isn't known, and the number of atoms in the universe can change. (The laws of conservation of mass and energy are very simplistic, there are actually exceptions. Theoretically, matter can just kind of poof into existence. If you want to go beyond theoretical, we already have turned matter into energy.)
And yeah, as como said, the difference between impossible and improbable is absolutely huge when you are talking about something that might be infinite or infinitely expanding. Impossible is one in infinity, improbably is one in a googolplex. If it is one in infinity, then the set will never occur (IE, infinity planets can never be checked for life) and so it would be statistically impossible. However, you know how many googolplex there are in infinity? Infinity! That should mean that we will find an infinite number of planets with life on them.