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The universal law of generalization is a theory of cognition stating that the probability of a response to one stimulus being generalized to another is a function of the “distance” between the two stimuli in a psychological space.
The full generalization rule allows for hypotheses to the left of the turnstile, but with restrictions.Assume is a set of formulas, a formula, and () has been derived. The generalization rule states that () can be derived if is not mentioned in and does not occur in .
Roger Newland Shepard (January 30, 1929 – May 30, 2022 [1]) was an American cognitive scientist and author of the "universal law of generalization" (1987).He was considered a father of research on spatial relations.
In the following rules, (/) is exactly like except for having the term wherever has the free variable . Universal Generalization (or Universal Introduction) (/) _Restriction 1: is a variable which does not occur in .
In predicate logic, existential generalization [1] [2] (also known as existential introduction, ∃I) is a valid rule of inference that allows one to move from a specific statement, or one instance, to a quantified generalized statement, or existential proposition.
In predicate logic, universal instantiation [1] [2] [3] (UI; also called universal specification or universal elimination, [citation needed] and sometimes confused with dictum de omni) [citation needed] is a valid rule of inference from a truth about each member of a class of individuals to the truth about a particular individual of that class.
Universal Logic is an emerging interdisciplinary field involving logic, non-classical logic, categorical logic, set theory, foundation of logic, and the philosophy and history of logic. The goal of the field is to develop an understanding of the nature of different types of logic.
Aristotle argued that people form concepts and make generalizations in the manner of a young child, who is just on the verge of grasping a generic concept such as human being. In his view, the child is gathering his or her memories of various encounters with individual humans, searching for the essential similarity that stands out, on ...