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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 ...
Inductive reasoning is any of various methods of reasoning in which broad generalizations or principles are derived from a body of observations. [1] [2] This article is concerned with the inductive reasoning other than deductive reasoning (such as mathematical induction), where the conclusion of a deductive argument is certain, given the premises are correct; in contrast, the truth of the ...
The problem of induction is a philosophical problem that questions the rationality of predictions about unobserved things based on previous observations. These inferences from the observed to the unobserved are known as "inductive inferences".
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 ...
One of Mill's examples involved an inference that some person is lazy from the observation that his or her sibling is lazy. According to Mill, sharing parents is not at all relevant to the property of laziness (although this in particular is an example of a faulty generalisation rather than a false analogy).
For example, the statement "Green is the best color because it is the greenest of all colors", offers no independent reason besides the initial assumption for its conclusion. Detecting this fallacy can be difficult when a complex argument with many sub-arguments is involved, resulting in a large circle.
Mill's methods are five methods of induction described by philosopher John Stuart Mill in his 1843 book A System of Logic. [ 1 ] [ 2 ] They are intended to establish a causal relationship between two or more groups of data, analyzing their respective differences and similarities.
English: US government example for Goodman's new riddle of induction, also showing the "projectability" of predicates being context-dependent. (1) During the period 30 Apr 1789 to 4 Mar 1797, the commander-in-chief of the United States Armed Forces can be described either as "George Washington" or as President of the United States.