I don't think there are any reliable predictions that the entire Greenland ice sheet, or much worse, the entire Antarctica ice field, are going to melt. But here's a reference to the math. (Easily accessible reading) which states that Greenland melting would account for a 6.5 metre rise, and Antarctica melting would cause a 73 metre rise, in worldwide sea level.
I remember the predictions about the coming new ice age too. But unlike with those, global warming is apparent all around us in the past eight years or so.