Dog Anatta (Non-Self)

Is a dog with one leg less a lesser dog?
Is a dog with two legs less a lesser dog?
Is a dog with three legs less a lesser dog?
Is a dog with no legs less a lesser dog?

What about the tail?
What about the wag?
What about the bark?
What about the name?

When is a dog no longer a dog?
When is a dog always a dog?
What is dog-nature?
Or is there such a thing?