Nick asks his father what a set is after overhearing him mention buying a set of winter clothes. His father explains that a set is a collection of objects that can be finite or infinite. He uses Nick's winter clothes as an example of a finite set. His father further explains that an empty set contains zero elements, like the set of piano keys on a guitar. A subset is part of a larger set and contains only some of the elements of the larger set.
2. Just like her sister Nick was very curious of his dad work as a computer
scientist. One day he listen his dad saying that he had to buy a set of new
winter clothes for her little sister. Nick wonder what did the word set mean.
3. When his dad came back Nick ask him
“Dad what is a set?”
“A set is a collection of objects infinite or finite” his dad said
“I don’t understand dad” Nick said
“Well, think about the winter clothes I just bought you. The scarf, gloves,
coat, and boots form part of an outwear collection. This can be considered as
a set. Since you have limited winter clothes this will be a finite set”
“So a set is like a list of things that are related to each other and it’s finite
when the list of these elements end?”
“You got the main idea of it”
5. “Can a set be empty dad?”
“Yes, an empty set is a set that contains zero elements in it. Now that you now
the meaning of sets let me give you an example of an empty set. The set of
piano keys on a guitar”
“But a guitar can’t have keys” Nick said
“That is correct, so the set would have no elements”
6. “A set can also have a subset of elements where all the elements on the subset
have to be the same as the set. A set of A is a subset of B if A is contained
inside B”
“I don’t think I understand” Nick said
“Well imagine you have a set of numbers from 1 to 5 called B and your subset
contains numbers 1,2,4 called A. The subset of numbers will have a smaller
set of numbers than the set. So a subset can contains only a portion of
element in set”
“So a subset it’s only a part of a set?”
“Correct!”