With the talk about Nansen and his cat, and then talking about Mu, I had a question:

Since we know that dogs and cats have Buddha-nature, can they also have attachments, delusions, conceptions and the like?

If we say they have Buddha-nature, doesn't that imply that they must also have the same problems we do? Is a dog or a cat always showing Buddha-nature? If not, what kind of delusions or attachments can a dog or a cat have?