Something else to consider, a simple experiment you can do at home, with sorry implications. Get some soda, fill a glass with ice, then fill the rest of it with

Something else to consider, a simple experiment you can do at home, with sorry implications. Get some soda, fill a glass with ice, then fill the rest of it with soda, give it a minute to stabilize, then put a thermometer in it. Then watch. Does the temperature slowly converge to room temperature, in a linear fashion? Not at all. That isn't how phase shift works. The soda in the glass will remain at the same temperature for as long as there is still ice. If you got a heat lamp and put it right next to the glass, you would increase the speed at which the ice cubes are melting, but you would not raise the temperature of the soda. It's only when the ice is almost gone that the temperature rises. And then it rises a lot. Likewise, global warming is limited so long as we still have ice caps to melt. But once those ice caps are almost gone, the temperature increase will be unrestrained.