No subset of the real numbers is countable. True or false.
In looking at the wikipedia article for real numbers, I'm not really clear on the answer to this. They use the words computable and countable, and I'm not sure of the difference. Also, I dont think I fully understand the term countable. The definition states that a set is countable if it has the same cardinality as some subset of the natural numbers, but I'm not sure what that means.