The Logical Fallacy of Argument from Silence / Argumentum Ex Silentio occurs when a conclusion is drawn from the absence of comment. This can be applied to a conversation or debate, if one person doesn't answer the other person's point, this does not prove the other person's point. Historians often fall prey to this fallacy, when an event or person is mentioned in one source but is not found in other writings. Some historians then make the mistake of claiming that the person never lived or that the event never took place.
"We can't find a record of King David anywhere but in the Bible. Had he actually existed, he would have been mentioned in other ancient texts."