- Accounting Homework Help
- Biology Homework Help
- Chemistry Homework Help
- Computer Science Help
- Economics Homework Help
- Engineering Homework Help
- English Homework Help
- Essay Writing Services
- Finance Homework Help
- Management Homework Help
- Math Homework Help
- Matlab Programming Help
- Online Exam Help
- Online Quiz Help
- Physics Homework Help
- Statistics Homework Help

- Physics Assignment Help
- Chemistry Assignment Help
- Math Assignment Help
- Biology Assignment Help
- English Assignment Help
- Economics Assignment Help
- Finance Assignment Help
- Statistics Assignment Help
- Accounting Assignment Help
- Computers Assignment Help
- Engineering Assignment Help
- Management Assignment Help

Why proof by contradiction is always a good thing to try while solving a problem

If you make an assumption, and that assumption produces a statement that does not make sense, then you must conclude that your assumption is wrong. For example, suppose that your car does not start. A number of things could be wrong. Let us assume for simplicity's sake that either the battery is dead or the starter is defective. So you first assume that the battery is dead and try to jump start it. If it doesn't start, you have a situation that does not make sense under your assumption of dead battery. That is, a good battery should start the car but it doesn't. So you conclude that your assumption is wrong. That is the battery is not the cause. Proof by contradiction follows that logic.

In this method we first assume that the assertion to be proven is not true and try to draw a contradiction i.e. something that is always false. If we produce a contradiction, then our assumption is wrong and therefore the assertion we are trying to prove is true.When you are stuck trying to justify some assertion, proof by contradiction is always a good thing to try.