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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 ...
The methodology involves the construction of hypotheses and theories through the collecting and analysis of data. [1] [2] [3] Grounded theory involves the application of inductive reasoning. The methodology contrasts with the hypothetico-deductive model used in traditional scientific research.
Symbolically, the method of concomitant variation can be represented as (with ± representing a shift): A B C occur together with x y z A± B C results in x± y z. ————————————————————— Therefore A and x are causally connected. Unlike the preceding four inductive methods, the method of concomitant ...
The classical model of scientific inquiry derives from Aristotle, [3] who distinguished the forms of approximate and exact reasoning, set out the threefold scheme of abductive, deductive, and inductive inference, and also treated the compound forms such as reasoning by analogy. [citation needed]
The history of scientific method considers changes in the methodology of scientific inquiry, not the history of science itself. The development of rules for scientific reasoning has not been straightforward; scientific method has been the subject of intense and recurring debate throughout the history of science, and eminent natural philosophers and scientists have argued for the primacy of ...
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]
Francis Bacon, articulating inductivism in England, is often falsely stereotyped as a naive inductivist. [11] [12] Crudely explained, the "Baconian model" advises to observe nature, propose a modest law that generalizes an observed pattern, confirm it by many observations, venture a modestly broader law, and confirm that, too, by many more observations, while discarding disconfirmed laws. [13]
Among his many arguments Hume also added another important slant to the debate about scientific method—that of the problem of induction. Hume argued that it requires inductive reasoning to arrive at the premises for the principle of inductive reasoning, and therefore the justification for inductive reasoning is a circular argument. [4]