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What is an absurdum?

What is an absurdum? Here are some definitions.

Noun
  1. An illogical conclusion or state. [First attested in the mid 19th century.]
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Examples
One use of modus tollens is the reductio ad absurdum argument, i.e. showing that a premise is false by demonstrating that it implies an absurd conclusion.
Opposition to stem-cell research is the reductio ad absurdum of the right-to-life argument.
It would be only fitting, the reductio ad absurdum of our divided age, for this election to take two extra months.
It's an entertaining reductio ad absurdum against those who complain about the unfairness of low-cost production by foreigners.
The French geometer, Legendre, gave a rigorous proof by reductio ad absurdum.
The method of exhaustion used, for the purpose of proof by reductio ad absurdum, the lemma proved in Eucl.

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