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This video explains the common pieces of notation used to talk about sets. A set is defined as a collection of elements, usually numbers. The notation involves using curly braces to list the elements of a set, with an asterisk noted for logician preference. The video provides an example of a set with three elements, namely 4, 5, and 6. It simplifies the concept of sets by considering them as collections of things, despite the possible issues raised by logicians. Most common symbols used for set notation are also mentioned in the tutorial.