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9.1: Basics
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Object: any distinct entity
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9.2: Defining sets
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Remember that mathematical notation is about communicating mathematical information. Since a set is defined by its member objects, to communicate the details of a set of objects one needs to provide a means to decide whether any given object is or is not an element of the set.
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9.3: Subsets and equality of sets
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Often we want to distinguish a collection of certain “special” elements within a larger set of elements.
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9.4: Complement, union, and intersection
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First, it is often convenient to restrict the scope of the discussion.
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9.5: Cartesian Product
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the set of all possible ordered pairs of elements from two given sets A and B, where the first element in a pair is from A and the second is from B
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9.6: Alphabets and words
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any set can be considered an alphabet
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9.7: Sets of sets
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Sets can be made up of any kind of objects, even other sets! (But now we must be careful of the use of the phrase “contained in”.)
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9.8: Activities
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9.9: Exercises
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