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An extensional definition gives meaning to a term by specifying its extension, that is, every object that falls under the definition of the term in question.. For example, an extensional definition of the term "nation of the world" might be given by listing all of the nations of the world, or by giving some other means of recognizing the members of the corresponding class.
The extensional definition of function equality, discussed above, is commonly used in mathematics. ... For example it is well known that in univalent foundations, the ...
In any of several fields of study that treat the use of signs — for example, in linguistics, logic, mathematics, semantics, semiotics, and philosophy of language — the extension of a concept, idea, or sign consists of the things to which it applies, in contrast with its comprehension or intension, which consists very roughly of the ideas, properties, or corresponding signs that are implied ...
A definition is a statement of the meaning of a term (a word, phrase, or other set of symbols). [1] [2] Definitions can be classified into two large categories: intensional definitions (which try to give the sense of a term), and extensional definitions (which try to list the objects that a term describes). [3]
According to an extensional definition, they are abstract groups, sets, or collections of objects. According to an intensional definition, they are abstract objects that are defined by values of aspects that are constraints for being member of the class. The first definition of class results in ontologies in which a class is a subclass of ...
An extensional statement is a non-intensional statement. Substitution of co-extensive expressions into it always preserves logical value. A language is intensional if it contains intensional statements, and extensional otherwise. All natural languages are intensional. [4]
Examples include breathlessness, high blood pressure, knee or hip pain, reduced range of motion due to excess body fat, heart failure or other organ dysfunction.
Extensional definition, a definition that enumerates every individual a term applies to; Extensionality; Other uses. Extension of a function, defined on a larger domain;