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9: Sets

Last updated

Sep 9, 2021
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- 8.3: Exercises
- 9.1: Basics

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9.1: Basics
Object: any distinct entity
9.2: Defining sets
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.
9.3: Subsets and equality of sets
Often we want to distinguish a collection of certain “special” elements within a larger set of elements.
9.4: Complement, union, and intersection
First, it is often convenient to restrict the scope of the discussion.
9.5: Cartesian Product
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
9.6: Alphabets and words
any set can be considered an alphabet
9.7: Sets of sets
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”.)
9.8: Activities
9.9: Exercises

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