Do We Live in an Infinite Universe?

http://www.astro.ucla.edu/%7Ewright/cosmology_faq.html#RB"We have observations that say that the radius of curvature of the Universe is bigger than 70 billion light years. But the observations allow for either a positive or negative curvature, and this range includes the flat Universe with infinite radius of curvature. The negatively curved space is also infinite in volume even though it is curved."It would seem they have no problem at all with an infinite universe.