Reductio Ad Absurdum

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Related to Proof by contradiction: Proof by contrapositive

Reductio Ad Absurdum

[Latin, Reduction to absurdity.] In logic, a method employed to disprove an argument by illustrating how it leads to an absurd consequence.

See: counterargument
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This part of the paper explores the differences and similarities that exist between proof by contraposition and proof by contradiction.
In the context of implications a proof by contradiction does not simply assume the conclusion to be false.
A proof by contradiction assumes the following three propositions to be true.
Besides number theory proof by contradiction may be applied in many areas including geometry, linear algebra and calculus.
The paper explored and clarified the similarities and differences that exist between proof by contradiction and proof by contraposition.