Transitives don't work really well in theology. Jesus is God. Mary is His Mother. Mary is a Mother of God. Mothers of gods are goddesses. Mary is a goddess.
That's about 4 times more transitives than I planned to use.
I should also point out that this one: "Mothers of gods are goddesses." (which is where you went off the rails) isn't even always true in paganism, and never is in Christianity.