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## Mathematical Proofs

#### More Sets Example 01

3/20/2014

Running Time: 7:57

We analyze the logical form of a statement involving sets. We worked similar problems previously, but the statements are slightly more complex in these problems as they involve indexed families of set, power sets, etc.

#### More Sets Example 02

3/20/2014

Running Time: 6:43

We analyze the logical form of a statement involving sets. We worked similar problems previously, but the statements are slightly more complex in these problems as they involve indexed families of set, power sets, etc.

#### More Sets Example 03

3/20/2014

Running Time: 3:29

This example provides a concrete instance of a family of sets. A family of sets is just a set, where each element of the set is itself a set. This problem presents a specific example of a family of sets and both the union and intersection of the family of sets is computed.

#### More Sets Example 04

3/21/2014

Running Time: 5:10

We compute the power set of the set A = {a, b, 3, d}. The power set is denoted as P(A) and is defined as a set whose elements contain all subsets of the set A. Thus, A is an element of P(A), {a,b} is an element of A etc.

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