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my name is dennis davis im an engineer not a mathematician i try to make my videos clear but fast-paced vocabulary words are in yellow outlined in the left panel im going to cover the basics of set theory without dwelling on its many applications in fields such as logic digital logic including computer programming discrete math database theory probability linguistics philosophy and others so here we go a set is a collection of objects if that sounds vague in general well thats on purpose sets are very flexible and can be used in a lot of disciplines so the concept is broadly defined intentionally the objects in the set are called elements or elements of the set sets are denoted by capital letters often italicized the elements of set a can be pictured inside a labeled ring like this or we can syntactically declare the elements in a statement like this well use the diagram style later when we talk about set operations for now well focus on various ways of defining sets with stateme