Importance of Propositional Logic
Propositional Logic plays an important role in computer science as well as in a person’s daily life. The main benefits of studying and using propositional logic are that it prevents us from making inconsistent inferences and incautious decisions. It incorporates reasoning and thinking abilities in one’s daily life.
Discrete Mathematics – Applications of Propositional Logic
A proposition is an assertion, statement, or declarative sentence that can either be true or false but not both. For example, the sentence “Ram went to school.” can either be true or false, but the case of both happening is not possible. So we can say, the sentence “Ram went to school.” is a proposition. But, the sentence “N is greater than 100” is not a proposition as we cannot state whether it is true or false unless the value of N is given. A few more examples of propositions are “12 – 10 = 3”, “The library is open.”, etc.
The area of mathematical logic that deals with propositions is called Propositional Logic or Propositional Calculus. It is also known as sentential logic or sentential calculus. It studies the logical values of propositions when taken as a whole and logical relationships when connected using logical connectives(such as logical AND, logical OR, etc.).