Do Animals Have Language?

Atheist mathematician Jeffrey Shallit takes issue with my recent post in which I pointed out that animals are incapable of logic or language. He makes several points. I'll address animal language in this post.

Shallit:

... there is an area of science that is actively interested in testing [the claim that animals have language], although you'd never know it from reading Egnor. It is a branch of ethology, which is the science of animal behavior. Contrary to Egnor's claims, the evidence for an...