Enumerative definition
Encyclopedia
An enumerative definition of a concept or term is a special type of extensional definition
that gives an explicit and exhaustive listing of all the object
s that fall under the concept or term in question. Enumerative definitions are only possible for finite sets and only practical for relatively small sets.
Extensional definition
An extensional definition of a concept or term formulates its meaning by specifying its extension, that is, every object that falls under the definition of the concept or term in question....
that gives an explicit and exhaustive listing of all the object
Object (philosophy)
An object in philosophy is a technical term often used in contrast to the term subject. Consciousness is a state of cognition that includes the subject, which can never be doubted as only it can be the one who doubts, and some object or objects that may or may not have real existence without...
s that fall under the concept or term in question. Enumerative definitions are only possible for finite sets and only practical for relatively small sets.
See also
- DefinitionDefinitionA definition is a passage that explains the meaning of a term , or a type of thing. The term to be defined is the definiendum. A term may have many different senses or meanings...
- ExtensionExtension (semantics)In any of several studies that treat the use of signs - for example, in linguistics, logic, mathematics, semantics, and semiotics - 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...
- Extensional definitionExtensional definitionAn extensional definition of a concept or term formulates its meaning by specifying its extension, that is, every object that falls under the definition of the concept or term in question....
- Set notationSet notationSets are fundamental objects in mathematics. Intuitively, a set is merely a collection of elements or members. There are various conventions for textually denoting sets...
- EnumerationEnumerationIn mathematics and theoretical computer science, the broadest and most abstract definition of an enumeration of a set is an exact listing of all of its elements . The restrictions imposed on the type of list used depend on the branch of mathematics and the context in which one is working...