For example, the prosecutor in a criminal court might argue how bad the crime is that has been committed, but if this argument is taken as an argument to convict the suspect, it is a case of ignoratio elenchi--it does not prove what it should prove, namely that the suspect is the one who committed it.
External link: Stephen's Guide: Irrelevant Conclusion (http://www.intrepidsoftware.com/fallacy/irrelev.htm)
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