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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 ...
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]
The fallacy can take many forms, such as cherry picking, hasty generalization, proof by assertion, and so on. [1] The fallacy does not mean that every single instance of sense data or testimony must be considered a fallacy, only that anecdotal evidence, when improperly used in logic, results in a fallacy.
Generalizing quickly and sloppily (hasty generalization) (secundum quid) Using an argument's connections to other concepts or people to support or refute it, also called "guilt by association" (association fallacy) Claiming that a lack of proof counts as proof (appeal to ignorance) In humor, errors of reasoning are used for comical purposes.
The definition of a hasty generalization would seem to preclude scientific study. For instance, the Polya conjecture example seems to indicate that a generalization is hasty if it holds for 906150256 entities, but not the 906150257th, even if the 906150257th hasn't been discovered yet.
[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.
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Slothful induction, also called appeal to coincidence, is a fallacy in which an inductive argument is denied its proper conclusion, despite strong evidence for inference.An example of slothful induction might be that of a careless man who has had twelve accidents in the last six months and it is strongly evident that it was due to his negligence or rashness, yet keeps insisting that it is just ...