It thickens the consistency so that the ingredients are evenly mixed and remain in place.
Depends on the recipe, most recipes call for three to four eggs. I use three in my recipe.
If the question means whether eggs should be beaten to break up the yolks before adding the eggs to the rest of the ingredients - that is often a good technique that prevents possible lumps in the batter, but it is not always necessary. On the other hand, if the question means whether several eggs need to be mixed together with each other before adding them to the other ingredients - No, individual eggs do not need to be combined before adding them to other ingredients. In fact, many cake recipes specifically call for each egg to be added separately.
You don't need to go far to find unique egg recipes. Something as simple as scrambled eggs can be given a unique twist by adding different spices or other ingredients to it.
a lot uncountable because some people have secret recipes and there are yet to be more recipes that involve eggs in them to be discovered.
boil some cranberries. and mix with cheese and eggs. Freeze then spread cream cheese over it.
Simply recipes (http://www.simplyrecipes.com/recipes/pickled_eggs) has some great recipes for Pickled Eggs for beginners to the novice cook. You will find some unique recipes for Pickled eggs ranging from Beet pickled eggs with cardamom and anise to Curried pickled eggs.
Some good deviled eggs recipes can be found at the Wisegeek website and the Shockingly Delicious website. Both websites contain a lot of deviled eggs recipes.
Unless stated in the recipe, I would use medium sized eggs. Though most recipes can use even extra large eggs without problems.
No, the recipes that call for doing that are counting on wild yeast to do the job in place of adding distillers yeast.
Most baking recipes equire eggs as an ingredient because they act like a glue and hold the flour/sugar/etc. together. Vegan recipes have no eggs, and will often call for suitable egg substitutes such as ground flax seed and water.
Yes
Yes, water is in virtually every plant including potatoes. Most cheesy potato recipes would call for adding water in some form.