**Ignoratio elenchi** (also known as **irrelevant conclusion** or **irrelevant thesis**) is the informal fallacy of presenting an argument that may in itself be valid, but does not address the issue in question. "Ignoratio elenchi" can be roughly translated by *ignorance of refutation*, that is, ignorance of what a refutation is; "elenchi" is from the Greek έλεγχος, meaning an argument of disproof or refutation. (Some sources give *by ignorance of the issues* or even *by ignoring the issues* as a translation of ignoratio elenchi.)

Aristotle believed that an ignoratio elenchi is a mistake made by a questioner while attempting to falsify a respondent's argument. He called it an ignorance of what makes for a refutation. For Aristotle, ignoratio elenchi amounts to *ignorance of logic*. In fact, Aristotle goes so far as to say that all logical fallacies can be reduced to what he calls ignoratio elenchi.

Modern use limits this term much more narrowly to the kind of mistake described in the first paragraph above.

Red herring
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Similar to ignoratio elenchi, a *red herring* is an argument, given in reply, that does not address the original issue. Critically, a red herring is a *deliberate* attempt to change the subject or divert the argument. The actual problem is eclipsed by the process of re-focusing on something else.

Examples
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* Bill Maher on Scarborough Country

**Maher**: It's arbitrary, isn't it? If you had been born in Pakistan, you wouldn't be believing in Jesus Christ. You would have been told another fairy tale and you would have been believing that.

**Scarborough**: Well, Bill, that's your opinion.

*Whether Maher's argument is his opinion or not is irrelevant and does not address the argument made.*

* "Baseball player Mark McGwire just retired. He's such a nice guy, and he gives a lot of money to all sorts of charities. Clearly, he will end up in the Hall of Fame."

*The conclusion is ignoratio elenchi, since friendliness and charity are not the main qualifications for induction into the Hall of Fame.*

* "I should not pay a fine for reckless driving. There are actual dangerous criminals on the street, and the police should be chasing them instead of harassing a decent tax-paying citizen like me."

*The existence of worse criminals is a secondary issue which has no bearing on whether the driver deserves a fine for recklessness. If the speaker were deliberately attempting to divert the issue, this would be an example of a red herring. While the argument about how the police should spend their time may have merit, the question of whom the police should prioritize pursuing and the question of what should be done with those the police have caught are separate questions.*

* "The prime minister's tax policies may be popular, but I suspect he had an affair and is paying the woman to keep quiet. The media should investigate that! "

*A red herring, the unrelated alleged affair, attempts to change the subject away from the popular policies. However, if the original discussion were of the prime minister's public integrity (encompassing both popularity and conduct), this argument could be perfectly valid. Such as if a politician's election campaign revolved around family values. Then an argument about such an affair would be valid, as it is in direct conflict with a family values platform.*

Other websites
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* About.com: Fallacies of relevance Archived 2017-01-25 at the Wayback Machine
* Nizkor Project: Red Herring Archived 2014-10-11 at the Wayback Machine
* Fallacy Files: Red Herring
* Infidels.org: Ignoratio elenchi
* The Art of Controversy: Diversion Archived 2011-05-13 at the Wayback Machine (bilingual with the original German) by Arthur Schopenhauer
* Red herring in political speech
* Ignoratio Elechi on TV Tropes