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A counterargument can be used to rebut an objection to a premise, a main contention or a lemma. Synonyms of counterargument may include rebuttal, reply, counterstatement, counterreason, comeback and response. An attempt to rebut an argument may involve generating a counterargument, or finding a counterexample. [1]
Reductio ad absurdum, painting by John Pettie exhibited at the Royal Academy in 1884. In logic, reductio ad absurdum (Latin for "reduction to absurdity"), also known as argumentum ad absurdum (Latin for "argument to absurdity") or apagogical argument, is the form of argument that attempts to establish a claim by showing that the opposite scenario would lead to absurdity or contradiction.
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In logic, proof by contradiction is a form of proof that establishes the truth or the validity of a proposition by showing that assuming the proposition to be false leads to a contradiction.
Definitions of objection vary in whether an objection is always an argument (or counterargument) or may include other moves such as questioning. [1] An objection to an objection is sometimes known as a rebuttal. [2] An objection can be issued against an argument retroactively from the point of reference of that argument.
“I’m not protesting him.”) Flanked by Sanchez, survivors, activists and a dozen state and national politicians, Dauber addressed the crowd of about 100 protesters and the assembled media with a calm but forceful conviction. Often, when she speaks, it is almost impossible to imagine a counterargument.
In mathematics, counterexamples are often used to prove the boundaries of possible theorems. By using counterexamples to show that certain conjectures are false, mathematical researchers can then avoid going down blind alleys and learn to modify conjectures to produce provable theorems.
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