Reductio ad Absurdum

Reductio ad absurdum is a mode of argumentation that seeks to establish a contention by deriving an absurdity from its denial, thus arguing that a thesis must be accepted because its rejection would be untenable. It is a style of reasoning that has been employed throughout the history of mathematics and philosophy from classical antiquity onwards.
Basic Ideas

 

Use of this Latin terminology traces back to the Greek expression h

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