reductio

[ri-duhk-shuh]

reductio Definition

a method of proving the falsity of a premise by showing that its logical consequence is absurd or contradictory.

Using reductio: Examples

Take a moment to familiarize yourself with how "reductio" can be used in various situations through the following examples!

  • Example

    The philosopher used reductio to demonstrate the fallacy in his opponent's argument.

  • Example

    The reductio of the theory led to its abandonment.

  • Example

    The reductio ad absurdum showed that the hypothesis was untenable.

reductio Synonyms and Antonyms

Synonyms for reductio

  • reduction ad absurdum
  • argumentum ad absurdum

Phrases with reductio

  • a proof that demonstrates the falsity of a premise by showing that its logical consequence is absurd or contradictory

    Example

    The mathematician used proof by reductio ad absurdum to solve the problem.

  • reductio ad Hitlerum

    an attempt to refute an opponent's argument by comparing it to something that Adolf Hitler did or said

    Example

    The politician's argument was dismissed as reductio ad Hitlerum.

  • a form of argumentation where a point is repeated over and over again until no one cares to argue against it anymore

    Example

    The debater used reductio ad nauseam to wear down his opponent.

Origins of reductio

from Latin 'reducere', meaning 'to lead back'

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Summary: reductio in Brief

'Reductio' [ri-duhk-shuh] is a noun that refers to a method of proving the falsity of a premise by showing that its logical consequence is absurd or contradictory. It is often used in philosophy, mathematics, and logic. Examples include 'The philosopher used reductio to demonstrate the fallacy in his opponent's argument.' and 'The reductio ad absurdum showed that the hypothesis was untenable.'