Essay Math: Set Theory and Hot Dogs

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Set Theory

Set theory is a similarity. It is a well-defined collection of objects. The objects in the sets are called elements. There are many different types of sets such as bees in a beehive, china plates, computers in a computer lab, etc. There are several different ways to explain set theory. In my visual work of art in explaining what set theory is, I used the example of Cardinality’s and Venn diagram’s. Cardinality means the number of elements in an infinite set. Which means a certain set has a finite number of elements. Suppose that A is a finite set, then the number of elements in A is denoted n(A). The number of elements in a finite is known as the cardinality of the set. In my example of using the Venn Diagram, I used an example of what it looks like to use three different sets. In my example of using Set Theory, I surveyed one hundred and fifty students at Sam Houston State University baseball game about their concession stand food preferences. U denotes the one hundred and fifty people that were surveyed. The letter A represents the people who like hot dogs, the letter B represents the people who like hamburgers, and the letter C represents the people who like nachos. 100 of the students like hot dogs, 115 of the students like hamburgers, and 112 of the students like nachos. 52 of the students like hot dogs and nachos, 86 of the students like hamburgers and nachos, 48 of the students like hot dogs and hamburgers, 65 of the students like all three of the different types of concession stand food. By looking at this diagram and survey it easy to see that A ∩ B are the people who like both hot dogs and hamburgers. This means that they liked hot dogs and hamburgers but not nachos. It is also known that B ∩ C shows the people who like hamburgers and nachos which means they liked hamburgers and nachos but not hot dogs. A ∩ C shows the people who like hot dogs and nachos but not hamburgers. This explains that they all liked two of the same foods except for one type in each different scenario. A ∩ B ∩ C means that 65 of them like all three of the different types of foods. By using a diagram to survey students, it makes it very easy to ask different questions regarding what the students answered in my survey. It is easy to ask questions such as how many people like exactly one type of concession
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