(3.6.2) Gould : It is worth noting that, although symmetry breaking is extremely useful and often physically reasonable for the reasons mentioned in contribution (3.6.1), there are cases where preserving symmetries is important. A prime example is when we are interested in spectroscopic properties that are meant to be degenerate, but where the degeneracy is "spoiled" by symmetry breaking. Such cases can be dealt with by careful application of ensemble theories, as discussed in Section 3.7