Question

Which among the following is not used as a method for proving theorems mathematics?

• A. Reasonable method
• B. Contrapositive method
• C. Contradiction method
• D. Disprove by giving counter example

Answer 1

Answer:

A. Reasonable method

The term "Reasonable method" is not typically used as a formal method for proving theorems in mathematics.

In mathematics, common formal methods used for proving theorems include:

1. Direct Proof

2. Proof by Contradiction

3. Proof by Induction

4. Proof by Counterexample

5. Proof by Contrapositive

While the idea of using reasonable or intuitive approaches might guide someone in thinking about a proof, a "reasonable method" is not a recognized formal technique in mathematics for proving theorems. The methods listed above are precise and structured ways to prove mathematical statements.