Why does the Third Law of Thermodynamics show/imply that absolute zero cannot be reached?

Question: Why does the Third Law of Thermodynamics show/imply that absolute zero cannot be reached?
- Keywords:
  thermodynamics
Asked by stormwhite to Arttu on 13 Jun 2011.
- Arttu Rajantie answered on 13 Jun 2011:
  
  The actual proof is too complicated to do here, but the point is that to cool the system we need to use some kind of a refrigerator. As the temperature decreases the amount of work the refrigerator needs to do increases, and to reach absolute zero it would need to no an infinite amount of work.

danm commented on 13 Jun 2011:

If absolute zero were to be reached tomorrow and the experiment is perfectly credible, and has been verified by many clever people around the world, what would your response be?

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Question: Why does the Third Law of Thermodynamics show/imply that absolute zero cannot be reached?