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Hasty generalization is an informal fallacy of faulty generalization by reaching an inductive generalization based on insufficient evidence— essentially making a hasty conclusion without considering all of the variables. In statistics, it may involve basing broad conclusions regarding the statistics of a survey from a small sample group that fails to sufficiently represent an entire population. Its opposite fallacy is called slothful induction, or denying a reasonable conclusion of an inductive argument (e.g. "it was just a coincidence").
Hasty generalization usually shows this pattern
X is true for A.
X is true for B.
X is true for C.
X is true for D.
Therefore, X is true for E, F, G, etc.
- A person travels through a town for the first time. He sees 10 people, all of them children. The person then concludes that there are no adult residents in the town.
- A person is looking at a number line. 3 is a prime number, 5 is a prime number, and 7 is a prime number. 9 is probably an anomaly, so it is ignored. 11 is a prime number, and 13 is a prime number. Therefore, the person says, all odd numbers are prime.
Alternative names 
The fallacy is also known as:
- Fallacy of insufficient statistics
- Fallacy of insufficient sample
- Generalization from the particular
- Leaping to a conclusion
- Hasty induction
- Law of small numbers
- Unrepresentative sample
- Secundum quid
See also 
- "Fallacy: Hasty Generalization (Nizkor Project)". Retrieved 2008-10-01.
- Fischer, David Hackett (1970). Historians' Fallacies: Toward a Logic of Historical Thought. HarperCollins. pp. 109–110. ISBN 978-0-06-131545-9.
- Marchant, Jamie. "Logical Fallacies". Retrieved 2011-04-26.
- "Unrepresentative Sample". Retrieved 2008-09-01.
- Common Logical Fallacies in Propaganda and Debate
- Fallacy: Hasty Generalization, Michael C. Labossiere's Fallacy Tutorial Pro
- Hasty Generalization, The Fallacy Files