Hello charlie, Welcome to SR!
I'm sorry to hear that your boyfriend is just not ready to quit yet. I wish I could tell you that arguing, talking, begging, pleading, or threats would help an alcoholic to stop--but it won't. Only if and when your boyfriend decides to stop drinking for himself and grabs hold of recovery with both hands will there be lasting change.
If you can love him as he is, right now--then great! If not, then it seems like you may have some decisions to make.
Please take some time and read around these boards. There is a lot of collected experience here from people who have been through the very same thing.