  The naming game has become an archetype for linguistic evolution and
mathematical social behavioral analysis. In the model presented here, there are
$N$ individuals and $K$ words. Our contribution is developing a robust method
that handles the case when $K = O(N)$. The initial condition plays a crucial
role in the ordering of the system. We find that the system with high Shannon
entropy has a higher consensus time and a lower critical fraction of zealots
compared to low-entropy states. We also show that the critical number of
committed agents decreases with the number of opinions and grows with the
community size for each word. These results complement earlier conclusions that
diversity of opinion is essential for evolution; without it, the system
stagnates in the status quo [S. A. Marvel et al., Phys. Rev. Lett. 109, 118702
(2012)]. In contrast, our results suggest that committed minorities can more
easily conquer highly diverse systems, showing them to be inherently unstable.
