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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
It's an entertaining reductio ad absurdum against those who complain about the unfairness of low-cost production by foreigners.
This conclusion was, in the view of the legalist, a reductio ad absurdum of Paulinism.
As symbol, Phelps was the reductio ad absurdum of many conservative beliefs.
Opposition to stem-cell research is the reductio ad absurdum of the right-to-life argument.
For some reason, this strikes me as the reductio ad absurdum of the whole project.
The French geometer, Legendre, gave a rigorous proof by reductio ad absurdum.

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