Going around thinking that for some reason he is automatically better than your dog because he is human and humans have some forgeted up assumption that they are superior to everything and all.
We are more intelligent than most animals. This does not make us more superior, but it puts us in the chair of power. It is therefore our job to make sure we care for and deal with animals in a sensitive way, since we share our world.
Implying we are equal, however, is wrong as far as I'm concerned. You could drown yourself in philosophy to answer this question. But practically, humans will never consider themselves below or equal to animals. So just quit it now.
(On a side note, you could say insects are more dominant due to their numbers hehe).