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Originally Posted by Nightshift
Fill a glass with ice, top up with water to the very rim and watch it melt, if any of you can make it overflow I will shut up, in fact, if you care to measure it you will find you have less water, it's simple chemistry that we all learned in grade 3.
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It follows from Archimedes' principle that when you melt ice floating in water, the water level will not change. But like Phil points out, the real problem here is that the polar icecaps are not floating in the oceans but sitting above it.