If ability to breed meant same species, you'd end up with awkward results upon taking the transitive closure. I can't breed with a rabbit, but there exists a hi

If ability to breed meant same species, you'd end up with awkward results upon taking the transitive closure. I can't breed with a rabbit, but there exists a historical path of millions of organisms, starting with me and ending with a rabbit, such that any two steps along the path can breed with each other. So therefore am I the same species as the rabbit?