Kerala State Board New Syllabus Plus One Maths Notes Chapter 14 Mathematical Reasoning.
Kerala Plus One Maths Notes Chapter 14 Mathematical Reasoning
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.