Mathematical Reasoning – Notes

Statements

A sentence is called a mathematically acceptable statement if it is either true or false.

A statement is called simple if it cannot be broken into two or more statement.

The denial of a statement is called the negation of the statement.

If p is a statement, then the negation of p is also a statement, and is denoted by ~p. This is read as      ‘not p’.

A compound statement is obtained by combining one or more simple statements using some connecting words like “and”, “or”, etc.

The simple statements that form a compound statement are called component statements.