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The logical fallacy of accident, also called destroying the exception or a dicto simpliciter ad dictum secundum quid, is a deductive fallacy that occurs in a statistical syllogism (an argument based on a generalization) when an exception to the generalization is ignored.
For instance:
In reality, the rule that cars should never exceed the speed limit is only a general rule, and police cars may be a valid exception.
Generalizations that are weak will generally have more exceptions (the number of exceptions to the generalization need not be a minority of cases) and vice versa.
This fallacy may occur when we confuse generalizations ("some") for categorical statements ("always and everywhere"). It may be encouraged when no qualifying words like "some", "many", "rarely" etc. are used to mark the generalization.
For example:
The premise above could be used in an argument concluding that all Jews or current Jews should be responsible for Jesus' death. Qualifying the first term:
This premise may make it more obvious that it is making an (extremely weak) generalization and not a categorical rule. The term could be made even more specific, such as "50-60 Jews in Judea living around 30 AD" from which it might be more difficult to attempt to draw a more wide-ranging conclusion.
Related inductive fallacies include: overwhelming exception, hasty generalization. See faulty generalization.
The opposing kind of dicto simpliciter fallacy is the converse accident.