Mathematical Reasoning – Notes
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.