Concept Of Logical Statements and Truth Table : Chapter 1

Introduction of Mathematical Logic

Logical statements deal with the binary logic used extensively it modern mathematics. Based on Boolean algebra, the logical statements introduce mathematical logic to the students. There is great relevance of these statements in modern mathematics because the basic philosophy behind the digital computers is based on digits 1 And 0. The binary codes and logical circuits used in computer employ signals of true or false. The two stable states of an electrical switching circuit are ON and OFF. With these a large number of mathematical operations are performed through suitably designed circuits.

Structure:

•          Logical Statements
•          Truth Table
•          Negation
•          Compounding
•          Negation of Compound Statements
•          Tautologies and Fallacies
•          Propositions
•          Algebra of Propositions
•          Conditional Statements
•          Biconditional Statements
•          Arguments
•          Joint Denial

Objectives:  After studying this chapter You should be able to Understand…..

1.  Logical statements, Truth table, Negation, Compounding, Negation of compounding statements, Tautologies and Fallacies, Propositions
2.   Algebra Of Propositions
3.   Conditional and Biconditional Statements
4.   Arguments and Joint denial