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How do you differentiate between knowledge and belief?
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Keeping a close eye and tight rain on bias and fallacy, observation beats word of mouth. A peer-reviewed scientific study is exactly equal to observation.
Mathematical proof is also observation.
Lack of observation does not in any way indicate lack of truth. Because you feel or don't feel some way and have or have not seen something happen to someone else in no way influences whether something actually happened to someone else. Our perception filters are incredibly bad.
Appeal to authority means very little as single people easily get biased. Discount anything said if the person telling you the truth stands to gain money power or time from it being believed.