Much like the cubes melting in a glass of water. This is the analogy I use to educate the ignorant. Watch the melting cubes and see if the glass overflows.
Even if ALL the ice sitting in the water melts, the water level wont rise...
Also, the article admits that much of the ice sheet sits *below sea level* in a depression in the earth. The melt ice below sea level can't contribute, since it will fill the depression it already occupies.
Problem is the ice above sea level.