Kerala State Board New Syllabus Plus One Maths Notes Chapter 14 Mathematical Reasoning.
Kerala Plus One Maths Notes Chapter 14 Mathematical Reasoning
I. Statement
The basic unit involved in mathematical reasoning is a mathematical sentence.
A sentence is called a mathematically acceptable statement if it is either true or false but not both. Usually denoted by small letters p, q, r, ……..
Denial of a statement is called the negation of the statement. While forming the negation of a statement, phrases like, “It is not the case” or “it is false that” are also used. The negation of a statement p is denoted by ~p.
II. Compound Statement
Many mathematical statements are obtained by combining one or more statements using some connective words like “and”, “or”, etc.
Contrapositive statement: the contrapositive of a statement p ⇒ q is the statement ~q ⇒ ~p.
Converse of a statement: Converse of a statement p ⇒ q is the statement q ⇒ p.
III. Validity of Statement
A statement is said to be valid or invalid according to it is true or false.
