O'Reilly makes a rhetorical attack where he blends the accusation that his opponent's claim is merely a matter of opinion based on the fact that it is unpopular.
This starts at 2:36.
Notice how O'Reilly is trying to say that the mere fact that this women has an opinion that he personally disagrees with *makes it false*! Actually his claim is slightly more complex. Her claim is false given the fact that "the majority of people" would accept what she is saying is false. He provides no evidence of this. But even this were true: Does that *make* it false?
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A classic (though not well known example) like this would be the Let's Make a Deal dilemma in which a contestant has to choose between three hidden prizes -- one good and two bad. After making a choice, one of the gifts she didn't choose is opened to reveal a bad prize. She is then asked if she would like to switch to the last unopened gift. Most people would think (wrongly) that switching would have no effect on her chances of winning when in reality by changing her pick she goes from winning 1/3 of the time to 2/3 of the time.
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