Is this true?

So this thing on Wikipedia

http://en.wikipedia.org/wiki/Noisy-channel_coding_theorem

could have left it at the classical statement of the theorem with bullet #1. Then it goes on to say:

2. If a probability of bit error \(p_b\) is acceptable, rates up to \(R(p_b)\) are achievable, where

\(R(p_b) = \frac{C}{1-H_2(p_b)}\).

3. For any \(p_b\), rates greater than \(R(p_b)\) are not achievable.
(Read the article)