FOR THE DUMPLINGS: Bring a large pot of water to a boil. In a mixer combine eggs, water, and flour and salt. Mix together to form a soupy dough. When water is boiling, scrape the dough into the water a spoonful at a time. This is easier if you dip the spoon onto the boiling water so the dough will not stick to the spoon. After you scrape the dough into the boiling water, they should cook for about 7 minutes. When they rise to the surface, they are done. Drain and rinse.
It makes a lot of dumplings! But that is ok, they will be gone in no time!