Converse Error: Difference between revisions

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{{tropeUseful Notes}}
Has nothing to do with shoes.
 
=== '''[http://en.[wikipedia.org/wiki/Affirming_the_consequent:Affirming the consequent|Affirming the consequent]''':] ===
 
:: This claim is most simply put as:
 
{{quote| If A, then B.<br />
B.<br />
Therefore, A. }}
 
:: It's a fallacy because at no point is it shown that A is the ''only'' possible cause of B; therefore, even if B is true, A can still be false. For example:
 
{{quote| If my car was Ferrari, it would be able to travel at over a hundred miles per hour.<br />
I clocked my car at 101 miles per hour.<br />
Therefore, my car is a Ferrari. }}
:: This is popular in conspiracy theories. Here the fallacy is fairly obvious; given the evidence, the car ''might'' be a Ferrari, but it might also be a Bugatti, Lamborghini, or any other model of performance car, since the ability to travel that fast is not unique to Ferraris. Hell, it might even be a Subaru Outback. Note that while this may appear to call all hypothesis / evidence experiments fallacious, they are based on additional evaluations of the likelihood of ''other'' theories, thus establishing that A ''is'' a likely cause of B.
 
=== '''[http://en.[wikipedia.org/wiki/Denying_the_antecedent:Denying the antecedent|Denying the antecedent]''':] ===
 
:: The flip side of the above, where you say that because the initial conditions did not happen, the result is impossible.
 
{{quote| If a person is wearing a hat, they have a head.<br />
I am not wearing a hat.<br />
Therefore I do not have a head. }}
 
:: Note that, by the [http://en.[wikipedia.org/wiki/:Contrapositive |contrapositive]] rule, these two fallacies are equivalent. For example, you could replace "If a person is wearing a hat, they have a head" by the logically identical statement "If a person has no head, they aren't wearing a hat" to turn the first example of denying the antecedent into an example of affirming the consequent.
 
 
=== Looks like this fallacy but is not: ===
* Inference to the best explanation. The usual form of scientific reasoning, as well as a lot of Sherlock Holmes' "deductions" (though he's wrong to call them that, since this is a form of ''inductive'' reasoning).
{{quote| B.<br />
The best explanation for B would be A.<br />
Therefore, A (probably). }}
** This differs from the Ferrari example above in that it posits a stronger connection between A and B than just A's truth entailing B's; B is actually giving some positive reason to ''prefer'' A over the other possibilities. (This approaches, without actually becoming, the logical relationship "if and only if".) Also, this form of argument isn't claiming deductive certainty, so the bar is a little lower for it being acceptable.
** Scientific reasoning is frequently attacked by those who understand this fallacy, but not the scientific method, which has the following form:
{{quote| B.<br />
A is the best explanation for B, so I will claim "A is the most likely explanation."<br />
If A, then C.<br />
Therefore, if not C, not A (valid contrapositive).<br />
Is C true? Yes? I will increase my confidence that A is the correct explanation.<br />
If A, then D.<br />
Not D!<br />
I must provisionally reject A or modify it to account for D, then continue to seek new information and propose new possible explanations. }}
 
 
{{examples|Examples:}}
* In ''[[American Dad (Animation)|American Dad]]'', Stan sinks his entire savings to build a rocket for Steve to win a contest.
 
{{quote| Stan: You gotta spend money to make money.<br />
Francine: But you didn't make any money!<br />
Stan: So logically, I didn't spend any money! [[No Fourth Wall|*waves at the camera*]] Goodnight everybody! }}
 
* An argument made by Obama supporters against conservatives.
{{quote| Racists who don't like black people oppose Obama's presidency<br />
Bob opposes Obama's presidency<br />
Therefore Bob is a racist. }}
** This is not to say that you can't make an argument that someone that opposes Obama is a racist, but it does not follow automatically from being opposed to his presidency and/or policies.
** A similar argument from Obama detractors is that anyone who voted for Obama did so only for affirmative action's sake, rather than because they believed Obama was a strong candidate on his own merit.
** I opposed Obama because I was for Hillary, [[Hypocritical Humor|you sexist!]]
 
{{reflist}}
[[Category:Logic Tropes]]
[[Category:Logical Fallacies]]
[[Category:Converse Error]]