The irrelevant conclusion fallacy builds an argument by introducing a secondary premise that appears to be linked to the initial premise. The fallacy would be easy to spot if the secondary premise was entirely different. However, if both premises are on the same subject you probably won't notice how weak the link is. Your focus moves on to the secondary premise and the conclusion flows from this premise. There is a strong link between the secondary premise and the conclusion, and this pushes you to accept the conclusion. The argument is complete. In your mind, you have accepted all the links and therefore you agree the conclusion applies to the initial premise. The fallacy is in accepting the weak initial link. The logical connection between the premises was not proven and therefore the conclusion should not be accepted.
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