"the ancient Greek gods and goddesses"
So... you believe in Zeus?
sorry I dont know how to be more clear than that. God for Christian is God, for Greek was Zeus, for Hinduist Krishna.. for ancient Egyptians was the faraon.. but God is that they seek.
no Im say that the word God in our language point to that. It is like a pointer to a variable in C+ the variable change but the pointer keeps point to that. I hope you know a bit of C+