## Reading Questions 19.4 Reading Questions

###### 1.

Describe succinctly what a poset is. Do not just list the defining properties, but give a description that another student of algebra who has never seen a poset might understand. For example, part of your answer might include what type of common algebraic topics a poset generalizes, and your answer should be short on symbols.

###### 2.

How does a lattice differ from a poset? Answer this in the spirit of the previous question.

###### 3.

How does a Boolean algebra differ from a lattice? Again, answer this in the spirit of the previous two questions.

###### 4.

Give two (perhaps related) reasons why any discussion of finite Boolean algebras might center on the example of the power set of a finite set.

###### 5.

Describe a major innovation of the middle twentieth century made possible by Boolean algebra.