Common
Extensional and intensional definitions
Classification of definitions in mathematics, philosophy, and logic
Extensional and intensional definitions
In logic, extensional and intensional definitions are two key ways in which the objects, concepts, or referents a term refers to can be defined. They give meaning or denotation to a term. An intensional definition gives meaning to a term by specifying necessary and sufficient conditions for when the term should be used. An extensional definition gives meaning to a term by specifying every object that falls under the definition of the term in question. For example, in set theory one would extensionally define the set of square numbers as {0, 1, 4, 9, 16, … {\displaystyle \dots } }, while an intensional definition of the set of the square numbers could be { x ∣ x {\displaystyle x\mid x} is the square of an integer}.
Open boosters, collect cards and trade them. Free to play.
Play for free