And let them have dominion over the fish of the sea and over the birds of the heavens and over the livestock and over all the earth and over every creeping thing that creeps on the earth."Here we, as the descendants of Adam and Eve, are given dominion over all the earth. We are to rule it, or subjugate it, and that is exactly what that word means.
I think that most people believe that in one way or another, but we must be careful not to forget whom we serve. This is why this "ruling" should be considered as a stewardship. Since we are ruling under another, then we should be ruling on His behalf.
I guess the question that should be asked is this: How would you use the earth, with its resources and its creatures, differently, when you have this knowledge?