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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 ...
Mathematical induction can be informally illustrated by reference to the sequential effect of falling dominoes. [1] [2]Mathematical induction is a method for proving that a statement () is true for every natural number, that is, that the infinitely many cases (), (), (), (), … all hold.
Argument from analogy is a special type of inductive argument, where perceived similarities are used as a basis to infer some further similarity that has not been observed yet.
Grammar induction (or grammatical inference) [1] is the process in machine learning of learning a formal grammar (usually as a collection of re-write rules or productions or alternatively as a finite state machine or automaton of some kind) from a set of observations, thus constructing a model which accounts for the characteristics of the observed objects.
Induction (play), an opening scene; Induction (teachers), support of novice teachers; Inductive reasoning aptitude; Collective Induction, in psychology; Hypnotic induction, causing hypnosis "Induction", a song by Broken Spindles from Fulfilled/complete "Induction" (short story), a short story by Greg Egan
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".
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 ...
It is noted that no law of science can be considered mere inductive generalization of facts because each law does not exist in isolation. [8] This is for, instance, demonstrated by thinkers such as John Stuart Mill, who maintained that inductionism is the initial act in the formulation of a general law using the deductive approaches to science. [9]