MATHEMATICAL REASONING
MATHEMATICAL REASONING MATHEMATICAL LOGIC LOGIC IS THE SUBJECT WHICH DEALS WITH THE PRINCIPLE OF REASONING. Logic is sometimes defines as science of proof.Mathematics and other science subjects deals with the reasoning and the arguments and every student of mathematics and other science should know the principles of logic. Statement A sentence is called statement if it is either true or false but not both . Example-"two plus five is equal to seven"" is a statement because the sentence true. A true statement is called valid statement. A false statement is called invalid statement. Properties of Statements A statement is a mathematical acceptable sentence Mathematical statements are either true or false, they cannot be both Any exclamatory sentences are not mathematical statements An imperative sentence is not a valid mathematical statement An interrogative sentence is not a mathematical valid statement A sentence involving variables such as here, there