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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]
An example is a probabilistically valid instance of the formally invalid argument form of denying the antecedent or affirming the consequent. [ 12 ] Thus, "fallacious arguments usually have the deceptive appearance of being good arguments, [ 13 ] because for most fallacious instances of an argument form, a similar but non-fallacious instance ...
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 ...
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.
Examples of some common cognitive distortions seen in depressed and anxious individuals. People may be taught how to identify and alter these distortions as part of cognitive behavioural therapy. John C. Gibbs and Granville Bud Potter propose four categories for cognitive distortions: self-centered , blaming others , minimizing-mislabeling ...
[1] [2] A generalization that is largely true may not apply in a specific case (or to some subcategory of cases) for good reasons. It is one of the thirteen fallacies originally identified by Aristotle in Sophistical Refutations. For example: People who commit crimes are criminals. Cutting people with knives is a crime.
A false analogy is an informal fallacy, or a faulty instance, of the argument from analogy. An argument from analogy is weakened if it is inadequate in any of the above respects. The term "false analogy" comes from the philosopher John Stuart Mill, who was one of the first individuals to examine analogical reasoning in detail. [2]