Math 360, Fall 2013, Assignment 1

The beginner ... should not be discouraged if ... he finds that he does not have the prerequisites for reading the prerequisites.

- P. Halmos

Carefully define the following terms, then give one example and one non-example of each:

1. Cartesian product (of two sets).
2. Relation (on a set \(A\)).
3. Reflexive relation.
4. Symmetric relation.
5. Transitive relation.
6. Equivalence relation.
7. Partition (of a set).
8. Cell (of a partition).

Solve the following problems:

1. Section 0, problems 1, 5, 7, and 11.

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