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An important part in debate, I think, has to be mutual respect between parties. When it is absent people tend to just run with their emotions and that usually causes things to disintegrate and become meaningless. This case is obviously a bit different, seeing as it wasn't a debate and that was remarkably absurd thing for anybody to say. But I can definitely see the professor taking exception to the way you interjected. For one it was a tad arrogant and also I'm sure the last thing a prof wants is students getting heated up and bickering and correcting each other all lecture long.
Sometimes it's hard to correct people without seeming like you're picking on them.
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