The Last Unicorn

I think he wants to intimidate the unicorn into giving up hiding:

"Then why do the leaves never fall here, or the snow? I tell you, there is one unicorn left in the world -- good luck to the lonely old thing, I say -- and as long as it lives in this forest, there won't be a hunter who takes so much as a titmouse home at his saddle. Ride on, ride on, you'll see. I know their ways, unicorns."