If there is technically an infinite amount of stars, then how come the night’s sky is dark?

Question: If there is technically an infinite amount of stars, then how come the night’s sky is dark?
- Keywords:
  dark,
  infinite,
  night,
  sky,
  star,
  universe
Asked by angelsdemonic to Mike, Pip, Tianfu, Tim, Tom on 26 Jun 2012.
- Tom Lister answered on 26 Jun 2012:
  
  Brilliant observation! If there were an infinite number of stars, the night sky would be infinitely bright, even if some of them were so far away that the chance of a speck of their light hitting us was tiny.
  
  So, either there are things in the way of the stars (planets, black holes, stellar dust, meteors etc) or the number of stars is not infinite.
- Tim Stephens answered on 26 Jun 2012:
  
  There are a lot of stars out there, but the light from many of them is so dim that we can’t detect it with our eyes. If you point a powerful telescope at the sky, you’ll see many more stars than you can with your naked eye because the telescope can collect more light from them and make them appear brighter.
  I imagine that nocturnal creatures with more sensitive eyes don’t perceive the night sky to be as dark as you or I see it.

Question: If there is technically an infinite amount of stars, then how come the night’s sky is dark?