In the previous essay I discussed guilt by association. Not surprisingly, there is an equal but opposite temptation: to refuse to acknowledge bad elements in groups one likes. Giving in to this temptation can result in committing a version of the purity fallacy which could be called the Denial of Association.

This version of the fallacy occurs when a negative claim about a group based on certain members is rejected by asserting, without adequate support, that the alleged members are not true members of the group. This fallacy is also known as the No True Scotsman fallacy thanks to the philosopher Anthony Flew. For example, if a 2nd Amendment rights group is accused of being racist, they might say that those displaying racist symbols at their events were not real members. This version of the fallacy has the following form:

 

Premise 1: Negative claim P has been made about group G based on M members of G.

Premise 2: It is claimed, without support, that the members of M are not true members of G.

Conclusion: Claim P is false.

 

This reasoning is fallacious because simply asserting that problematic alleged members are not true members does not prove that the claim is not true about the group. As always, it is important to remember that fallacious reasoning does not entail that the conclusion is false. A group’s defender could commit this fallacy while their conclusion is correct; they would have simply failed to give a good reason to accept their claim.

Like many fallacies, it draws its persuasive power from psychological factors. Someone who has a positive view of the group has a psychological, but not logical, reason to reject the negative claim. Few are willing to believe negative things about groups they like or identify with. In Flew’s original example, a Scotsman refuses to believe a story about the bad behavior of other Scotsmen on the grounds that no true Scotsman would do such things. People can also reject the claim on pragmatic grounds, such as when doing so would provide a political advantage.

The main defense against this fallacy is to consider whether the negative claim is rejected on principled grounds or is rejected without evidence, such as on psychological or pragmatic grounds. One way to try to overcome a psychological bias is to ask what evidence exists to reject the counterexample. If there is no such evidence, then all that would be left are psychological or pragmatic reasons, which have no logical weight.

Sorting out who or what belongs in a group can be a matter of substantial debate. For example, when people displaying racist symbols show up at gun rights events or protests the question arises as to whether the protesters should be regarded, in general, as racist. Some might contend those openly displaying racist symbols should not define the broader group of protesters. Others contend that by tolerating the display of racist symbols the general group shows that it is racist. As another example, those peacefully protesting police violence generally disavow those who engage in violence and vandalism and claim that the violent protesters do not define their group. Others contend that because violence and looting sometimes occurs adjacent to or after peaceful protests, the protesters are violent looters. College students peacefully protesting Israel’s actions contend that they are not antisemitic and disavow antisemitism, but their right-wing critics claim they are antisemitic. In some cases, there are actual antisemites involved. In other cases, merely criticizing Israel is cast as antisemitic.

Debates over group membership need not be fallacious. If a principled argument is given to support the exclusion, then this fallacy is not committed. For example, if a fictional 2nd amendment rights organization “Anti-Racists for Gun Rights” (ARGR) was accused of being racist because people at their protest displayed racist symbols, showing that none of the racists were members of ARGR would not commit this fallacy.

As another example, if peaceful protesters show that those who engaged in violence and looting are not part of their group, then it would not be fallacious for them to reject the claim that they are violent on the grounds that those committing the violence are not in their group. As a third example, if college students peacefully protesting Israel show that the people shouting antisemitic slogans at the protest were neo-Nazis from off campus, then they would not be committing this fallacy.

Sorting out which people belong to a group and how the group should be defined can be challenging; but should be done in a principled way. To define a group by the worst of those associated with it runs the risk of committing the guilt by association fallacy. Denying that problematic members are not true members of a group runs the risk of committing the denial of association fallacy. While both fallacies are psychologically appealing and can be highly effective means of persuasion, they have no merit as arguments.

As a practical matter, the unprincipled use both fallacies in efforts to advance their goals in bad faith. After all, what matters to them is “winning” rather than what is true and good.

It is tempting to define a group you do not like by the worst people associated with it, but this can lead to committing the fallacy of guilt by association. To illustrate, conservative protests sometimes include people openly displaying racist symbols and this can lead leftists to conclude that all the protestors are racists. As another example, protests against Israel’s actions sometimes include people who make antisemitic statements, and this leads some people to categorize the protests as antisemitic. While this is often done in bad faith, people can sincerely make unwarranted inferences about protests from the worst people present.

Since people generally do not make their reasoning clear, it often must be reconstructed. One possible line of bad reasoning is the use of a hasty generalization. A hasty generalization occurs when a person draws a conclusion about a population based on a sample that is not large enough to adequately support the concussion. It has the following form:

 

Premise 1: Sample S (which is too small) is taken from population P.

Premise 2: In Sample S X% of the observed A’s are B’s.

Conclusion: X% of all A’s are B’s in Population P.

 

This is a fallacy because the sample is too small to warrant the inference. In the case of the protesters, inferring that most conservative protesters are racists based on some of them displaying racist symbols would be an error. Likewise, inferring that most people protesting Israel are antisemitic because some of them say antisemitic things would also be an error. At this point it is likely that someone is thinking that even if most conservative protesters are not open racists, they associate with them—thus warranting the inference that they are also guilty. Likewise, someone is probably thinking that people protesting Israel are guilty of antisemitism because of their association with antisemites. This leads us to the guilt by association fallacy.

The guilt by association fallacy has many variations but this version occurs when it is inferred that a group or individual has bad qualities because of their  (alleged) association with groups or individuals who have those qualities. The form of the fallacy is this:

 

Premise 1: Group or person A is associated with group or person B

Premise 2: Group or person B has (bad) qualities P, Q, R.

Conclusion: Group A has (bad) qualities P, Q, R.

 

The error is that the only evidence offered is the (alleged) association between the two. What is wanting is an adequate connection that justifies the inference. In the conservative protester example, the protesters might be associated with protesters displaying racist symbols, but this is not enough to warrant the conclusion that they are racists. More is needed than a mere association. The more is, as one would imagine, a matter of considerable debate: those who loath conservatives will tend to accept relatively weak evidence as supporting their biased view; those who like the protesters might be blind even to the strongest evidence. Likewise for people protesting Israel. But whatever standards are used to judge association, they must be applied consistently—whether one loathes or loves the group or person.

As noted above, people who have protested Israel have been accused of association with antisemites. But the same standards applied to conservative protesters need to be applied: to infer that because some protesters have been observed to be antisemitic then most (or all) are as well would commit the hasty generalization fallacy. Naturally, if there is evidence showing that most conservative protesters are racist or evidence showing that most (or all) people who protest Israel are antisemitic, then the fallacy would not be committed.

To infer that those protesting Israel are antisemitic because some associated with the protests are antisemitic would commit the guilt by association fallacy, just as the fallacy would be committed if one inferred that conservative protesters are racists because they are associated with racists. Obviously, if there is adequate evidence supporting these claims, then the fallacy would not be committed.