Argumentative is an evidentiary objection raised in response to a question which prompts a witness to draw inferences from facts of the case. An argumentative objection is raised as "badgering the witness."
Often, argumentative questions do not seek to establish additional facts or check the reliability of existing facts. Instead, they are meant only to cause a witness to argue with the examiner.
An "argumentative" objection is often stated as "Objection, your Honor, argumentative."
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