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A polygon is a generalization of a 3-sided triangle, a 4-sided quadrilateral, and so on to n sides. A hypercube is a generalization of a 2-dimensional square, a 3-dimensional cube, and so on to n dimensions. A quadric, such as a hypersphere, ellipsoid, paraboloid, or hyperboloid, is a generalization of a conic section to higher dimensions.
Inductive reasoning refers to a variety of methods of reasoning in which broad generalizations or principles are derived from a set of observations. [1] [2] Unlike deductive reasoning (such as mathematical induction), where the conclusion is certain, given the premises are correct, inductive reasoning produces conclusions that are at best probable, given the evidence provided.
In rhetoric, a glittering generality or glowing generality is an emotionally appealing phrase so closely associated with highly-valued concepts and beliefs that it carries conviction without supporting information or reason.
The titles of some books are self-explanatory. Good books on critical thinking commonly contain sections on fallacies, and some may be listed below. DiCarlo, Christopher (2011). How to Become a Really Good Pain in the Ass: A Critical Thinker's Guide to Asking the Right Questions. Prometheus Books. ISBN 9781616143978. Engel, S. Morris (1994).
The Structure of Literature is a 1954 book of literary criticism by Paul Goodman, the published version of his doctoral dissertation in the humanities.The book proposes a mode of formal literary analysis that Goodman calls "inductive formal analysis": Goodman defines a formal structure within an isolated literary work, finds how parts of the work interact with each other to form a whole, and ...
Therefore, generalization is a valuable and integral part of learning and everyday life. Generalization is shown to have implications on the use of the spacing effect in educational settings. [13] In the past, it was thought that the information forgotten between periods of learning when implementing spaced presentation inhibited generalization ...
For example, when predicting how a person will react to a situation, inductive reasoning can be employed based on how the person reacted previously in similar circumstances. It plays an equally central role in the sciences, which often start with many particular observations and then apply the process of generalization to arrive at a universal law.
Examples (with the antecedent in boldface and the referring pronoun in italics) include "readers of Wikipedia appreciate their encyclopedia", "the customer who spends in this market". The question of appropriate style for using pronouns to refer to such generic antecedents in the English language became politicized in the 1970s, and remains a ...