FOC I - 4.6 Indirect Argument: Contradiction and Contraposition
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Method of Proof by Contradiciton
also known as reductio, impossibile or reductio ad absurdum
Relation between Proof by Contradiction and Proof by Contraposition
- Proof by contraposition can only be used for statements that are universal and conditional. - Any statement that can be proved by contraposition can also be proved by contradiction. But the converse is not true. - Proof by contradiction also works for other types of statements. Statements such as "√2 is irrational" can be proved by contradiction but not by contraposition.