Logical Operators, So what? Why are they important? What can they do?

Christopher Minn

Logical operators are all around us. Whether you realize it or not, when you make a decision of eating cereal and milk for breakfast, choosing between pasta or rice for lunch, or choosing not to study for an exam despite your lack of preparation (which is occurring to me as I write this), all of these statements contain a logical operator. the most common operators seen around consist of AND, OR, NOT, and a combination of these three in order to produce other outputs. Eating cereal AND milk, pasta OR rice, and choosing NOT to study all embody these different operators. Now, in math, these operators also play a crucial part in producing some of the foundations that can be used to build a deeper understanding of simple logic. For example, different truth tables that can be constructed from the basics of AND, OR, and NOT operators. However, in math, these operators are actually represented as the following: AND as \wedge, OR as \vee and NOT as \neg. Below, I will include a basic truth table to demonstrate how these operators operate (no pun intended) in math.

As you can (hopefully) see, P and Q represent different variables that can be either true or false, and depending on the logical operator applied, the outputs differ.… Read the rest