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Douglas Harper's Etymology Dictionary
counterargument

1862, from counter- + argument.

Wiktionary
counterargument

n. An argument that is opposed to another argument.

WordNet
counterargument

n. an argument offered in opposition to another argument

Wikipedia
Counterargument

In reasoning and argument mapping, a counterargument is an objection to an objection. 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. The attempt to rebut an argument may involve generating a counterargument or finding a counterexample.

To speak of counterarguments is not to assume that there are only two sides to a given issue nor that there is only one type of counterargument. For a given argument, there are often a large number of counterarguments, some of which are not compatible with each other.

A counterargument might seek to cast doubt on facts of one or more of the first argument's premises, to show that the first argument's contention does not follow from its premises in a valid manner, or the counterargument might pay little attention to the premises and common structure of the first argument and simply attempt to demonstrate that the truth of a conclusion is incompatible with that of the first argument. __NOTOC__

Usage examples of "counterargument".

A vicious personal smear, they believe, constitutes a clever counterargument.

A half dozen counterarguments popped into my head, but the best course was to say nothing.

And apart from some harumphs and giggles, I couldn't find any counterarguments.

The counterarguments bubbled in Egan's mind: that persecuted minorities were the likeliest to become fringes, to lash out.