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A faulty generalization is an informal fallacy wherein a conclusion is drawn about all or many instances of a phenomenon on the basis of one or a few instances of that phenomenon. It is similar to a proof by example in mathematics. [1] It is an example of jumping to conclusions. [2]
Faulty generalization – reaching a conclusion from weak premises. Accident – an exception to a generalization is ignored. [50] No true Scotsman (aka appeal to purity) – makes a generalization true by changing the generalization to exclude a counterexample. [51]
In logic and mathematics, proof by example (sometimes known as inappropriate generalization) is a logical fallacy whereby the validity of a statement is illustrated through one or more examples or cases—rather than a full-fledged proof. [1] [2] The structure, argument form and formal form of a proof by example generally proceeds as follows ...
The easiest and most common examples involve choosing a group of results that follow a pattern consistent with the preferred hypothesis while ignoring other results or "data runs" that contradict the hypothesis. Scientists, in general, question the validity of study results that cannot be reproduced by other investigators.
This explains, for example, why arguments that are accidentally valid are still somehow flawed: because the arguer himself lacks a good reason to believe the conclusion. [9] The fallacy of begging the question, on this perspective, is a fallacy because it fails to expand our knowledge by providing independent justification for its conclusion ...
For example: Almost all people are taller than 26 inches; Gareth is a person; Therefore, Gareth is taller than 26 inches; Premise 1 (the major premise) is a generalization, and the argument attempts to draw a conclusion from that generalization. In contrast to a deductive syllogism, the premises logically support or confirm the conclusion ...
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For example, "I've flipped heads with this coin five times consecutively, so the chance of tails coming out on the sixth flip is much greater than heads." [ 67 ] Hot-hand fallacy (also known as "hot hand phenomenon" or "hot hand"), the belief that a person who has experienced success with a random event has a greater chance of further success ...