Necessary & Sufficient Conditions Necessary and sufficient conditions help us understand and explain the connections between concepts, and how different situations are related to each other. NECESSARY CONDITIONS To say that X is a necessary condition for Y is to say that the occurrence of X is required for the occurrence of Y (sometimes also called an essential condition ). In other words, if there is no X, Y would not exist. Examples: Having four sides is necessary for being a square. Infection by HIV is necessary for developing AIDS. To show that X is not a necessary condition for Y, we simply find a situation where Y is present but X is not. Examples: Eating meat is not necessary for living a healthy life. There are plenty of healthy vegetarians. Being a land animal is not necessary for being a mammal. Whales are mammals, but they live in the sea. In daily life, we often talk about necessary conditions . When we say kindling requires oxygen , this is equivalent t
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