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An association fallacy is an informal inductive fallacy of the hasty-generalization or red-herring type and which asserts, by irrelevant association and often by appeal to emotion, that qualities of one thing are inherently qualities of another. Two types of association fallacies are sometimes referred to as guilt by association and honor by association.
Contents
Form
In notation of first-order logic, this type of fallacy can be expressed as (∃x ∈ S : φ(x)) ⇒ (∀x ∈ S : ∃φ(x)), meaning "if there exists any x in the set S so that a property φ is true for x, then for all x in S the property φ must be true."
Premise A is a B Premise A is also a C Conclusion Therefore, all Bs are CsThe fallacy in the argument can be illustrated through the use of an Euler diagram: "A" satisfies the requirement that it is part of both sets "B" and "C", but if one represents this as an Euler diagram, it can clearly be seen that it is possible that a part of set "B" is not part of set "C", refuting the conclusion that "all Bs are Cs".
Examples
Some syllogistic examples of guilt by association:
A real-world example of guilt by association is that, in response to mass shooting incidents in the U.S. and public speculation that the perpetrators had Asperger syndrome, many people throughout society wrongfully stigmatized and stereotyped people with the disorder as being potentially violent and having the potential to become shooters. Especially after the Sandy Hook Elementary School shooting, the media (after the early reporting) and autism-advocacy organizations proffered expert opinions debunking this myth and attempting to better educate the public about autism to dissuade the stigmatization.
Guilt by association as an ad hominem fallacy
Guilt by association can sometimes also be a type of ad hominem fallacy, if the argument attacks a person because of the similarity between the views of someone making an argument and other proponents of the argument.
This form of the argument is as follows:
An example of this fallacy would be "My opponent for office just received an endorsement from the Puppy Haters Association. Is that the sort of person you would want to vote for?"
Honor by association
The logical inverse of "guilt by association" is honor by association, where one claims that someone or something must be reputable because of the people or organizations that are related to it or otherwise support it. For example:
Examples:
Galileo Gambit
A form of the association fallacy often used by those denying a well-established scientific or historical proposition is the so-called "Galileo Gambit." The argument goes that since Galileo was ridiculed in his time but later acknowledged to be right, that since their non-mainstream views are provoking ridicule and rejection from other scientists, they will later be recognized as correct too.
The Galileo Gambit gained public attention during the 2012 United States presidential campaign, when Texas governor Rick Perry expressed skepticism about global warming. Perry suggested that scientists stating "here is the fact" did not necessarily imply that this was so, and that "Galileo got outvoted for a spell." The argument is flawed in that being ridiculed does not necessarily correlate with being right and that many people who have been ridiculed in history were, in fact, wrong. Similarly, Carl Sagan has stated that while they laughed at Columbus and the Wright Brothers, "they also laughed at Bozo the Clown."