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The two arguments imply there is no difference between the exception and the rule, and in fact fallacious slippery slope arguments often use the converse accident to the contrary as the basis for the argument. However, a key difference between the two is the point and position being argued.
Hasty generalization (fallacy of insufficient statistics, fallacy of insufficient sample, fallacy of the lonely fact, hasty induction, secundum quid, converse accident, jumping to conclusions) – basing a broad conclusion on a small or unrepresentative sample. [55]
Hasty generalization is the fallacy of examining just one or very few examples or studying a single case and generalizing that to be representative of the whole class of objects or phenomena. The opposite, slothful induction , is the fallacy of denying the logical conclusion of an inductive argument, dismissing an effect as "just a coincidence ...
[16]: 147 The generalization, in this case, ignores that insanity is an exceptional case to which the general rights of property do not unrestrictedly apply. Hasty generalization, on the other hand, involves the converse mistake of drawing a universal conclusion based on a small number of instances.
The fallacy of accident (also called destroying the exception or a dicto simpliciter ad dictum secundum quid) is an informal fallacy where a general rule is applied to an exceptional case. The fallacy of accident gets its name from the fact that one or more accidental features of the specific case make it an exception to the rule.
A trivial example might be: "This tire is made of rubber; therefore, the vehicle of which it is a part is also made of rubber." This is fallacious, because vehicles are made with a variety of parts, most of which are not made of rubber. The fallacy of composition can apply even when a fact is true of every proper part of a greater entity, though.
The fatal bus crash that left three high school band students and three adults dead may have been caused by traffic slowdowns related to another crash on I-70. Another crash occurred on I-70 early ...
The most common form of the fallacy is the use of anecdotes to create a fallacy of Hasty Generalization. Language surrounding the fallacy must indicate a logical conclusion, and includes absolute statements such as "every", "all", and so forth. However, other forms of the fallacy exist.