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What does reductio ad absurdum mean?

Looking for the meaning or definition of the word reductio ad absurdum? Here's what it means.

Noun
  1. (mathematics) The method of proving a statement by assuming the statement is false and, with that assumption, arriving at a blatant contradiction.
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Is not that a reductio ad absurdum for this system of pure and direct democracy?
The argument that says no individual has power leads to a reductio ad absurdum.
This is at the same time a difference with the ordinary hypothetical syllogism: insincerity essentially colors the reductio ad absurdum.
Also, employing reductio ad absurdum to show the rigor of syllogistical uses, is a recognition that it's exterior and prior to the syllogism.
This seems to be a reductio ad absurdum of the complex and sometimes paradoxical workings of the law of cause and effect.
Now, with her mother dead, she ascends into a reductio ad absurdum of the celebrity culture.

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