Reasoning can be of two types:
- Deductive Reasoning– is a basic form of valid reasoning, which starts out with a general statement, or hypothesis, and examines the possibilities to reach a specific, logical conclusion. We make prediction of its consequences.
- Inductive Reasoning – It is opposite of deductive reasoning. Inductive reasoning makes broad generalizations from specific observations. Basically, there is data, then conclusions are drawn from the data. This is called inductive logic
In mathematical reasoning, we follow Deductive reasoning. Consider an example, If an object is either red or orange, and if it is not orange, then from that logic the statement leads us to the conclusion that the object must be red. Logic is the study of general reasoning, without inference to the particular context or meaning.
A statement can be either true or false, but not both simultaneously. All these statements state to form mathematical reasoning. Different types of statements are Simple statements, Compound statements, Basic logical connectives, Conjunction, Disjunction, Negation, Conditional statements, Converse, Biconditional statements, Quantifiers etc.
Learn these concepts easily by practicing the questions from the exercises given in RD Sharma solution for the chapter “Mathematical Reasoning”.
Chapter 31 Mathematical Reasoning