Faulty generalization

A faulty generalization often follows the following format: : The proportion Q of the sample has attribute A. : Therefore, the proportion Q of the population has attribute A. Such a generalization proceeds from a premise about a sample (often unrepresentative or biased), to a conclusion about the population itself. Faulty generalization is also a mode of thinking that takes the experiences of one person or one group, and incorrectly extends it to another. ==Inductive fallacies==

• 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" when it is very likely not. • The overwhelming exception is related to the hasty generalization but works from the other end. It is a generalization that is accurate, but tags on a qualification that eliminates enough cases (as exceptions); that what remains is much less impressive than what the original statement might have led one to assume. • Fallacy of unrepresentative samples is a fallacy where a conclusion is drawn using samples that are unrepresentative or biased. • Misleading vividness is a kind of hasty generalization that appeals to the senses. • Statistical special pleading occurs when the interpretation of the relevant statistic is "massaged" by looking for ways to reclassify or requantify data from one portion of results, but not applying the same scrutiny to other categories. • This can be considered a special case of the fallacy of composition, where the item under discussion is a group, and the fallacy is what can be derived from knowledge of part of the item. == Hasty generalization ==

Hasty generalization is an informal fallacy of faulty generalization, which involves reaching an inductive generalization based on insufficient evidence Its opposite fallacy is called slothful induction, which consists of denying a reasonable conclusion of an inductive argument (e.g. "it was just a coincidence"). Examples Hasty generalization usually follows the pattern: • X is true for A. • X is true for B. • Therefore, X is true for C, D, E, etc. For example, if a person travels through a town for the first time and sees 10 people, all of them children, they may erroneously conclude that there are no adult residents in the town. Or a person might look at a number line, and notice that the number 1 is a square number; 3 is a prime number, 5 is a prime number, and 7 is a prime number; 9 is a square number; 11 is a prime number, and 13 is a prime number. From these observations, the person might claim that all odd numbers are either prime or square, while in reality, 15 is a counterexample. Alternative names The fallacy is also known as: • Black swan fallacy • Illicit generalization • Fallacy of insufficient sample • Generalization from the particular • Leaping to a conclusion • Blanket statement • Hasty induction • Law of small numbers • Unrepresentative sample • Secundum quid When referring to a generalization made from a single example, the terms fallacy of the lonely fact, or the fallacy of proof by example, might be used. When evidence is intentionally excluded to bias the result, the fallacy of exclusion—a form of selection bias—is said to be involved. ==See also==