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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.
8 Σεπ 2023 · Addresses the concepts of extension (denotation) and intension (connotation) in logic, explaining how they apply to terms referring to classes. The section clarifies that extension concerns the range of objects a term applies to, while intension involves the sum of attributes defining a class.
intension and extension, in logic, correlative words that indicate the reference of a term or concept: “intension” indicates the internal content of a term or concept that constitutes its formal definition; and “extension” indicates its range of applicability by naming the particular objects that it denotes.
The difference between an intension and an extension in contemporary logic comes from Frege, who distinguishes a concept's Sinn (sense) from its Bedeutung (reference). The easiest way to illustrate the difference between sense and reference is through cases.
An idea is more or less comprehensive accordingly as it embraces more or fewer notes. It has greater or less extension accordingly as it applies to a greater or smaller number of subjects. These two properties of the idea are in inverse ratio to each other: the greater the comprehension of an idea, the less its extension, and vice versa.
Leibniz is well-known for his intensional interpretation of logic, according to which a subject-predicate sentence is true just in case the concept signified by the predicate is included in the concept signified by the subject.
Lesson 10: Extension and Intension - Logic Made Accessible. Part 1: Introduction to Logic. Lesson 1: Why Study Logic? 3 Topics | 1 Quiz. Part I: Lesson. Part II: Examples. Part III: Conclusion. Part IV: Exercises. Lesson 2a: The Three Building Blocks of Logic – Terms. 3 Topics | 1 Quiz. Part I: Lesson. Part II: Examples. Part III: Conclusion.
