JEE Main & Advanced Mathematics Mathematical Logic and Boolean Algebra Introduction

Logic was extensively developed in Greece. In the middle ages the treatises of Aristotle concerning logic were re-discovered. The axiomatic approach to logic was first proposed by George Boole. On this account logic  relative to mathematics is sometimes called Boolean logic. It is also called mathematical logic or more recently symbolic logic.

The dictionary meaning of the word ‘Logic’ is “the science of reasoning”. It is the study and analysis of the nature of valid arguments. In the process of reasoning we communicate our ideas or thoughts with the help of sentences in a particular language. The following types of sentences are normally used in our every day communication.

(1) Assertive sentence

(2) Imperative sentence

(3) Exclamatory sentence

(4) Interrogative sentence

In this chapter, we shall be discussing about a specific type of sentences which will called as statement or propositions.