What does the word Intension mean in logic and in every day use In [[logic]], the term "intension" refers to the inherent meaning or characteristic of a concept or term. It represents the set of properties or attributes that define a concept and distinguish it from other concepts. Intension is often contrasted with "extension," which refers to the actual instances or objects that fall under a particular concept. # What is Intensional Logic Intensional logic is a branch of formal logic that deals with the analysis and representation of statements and propositions based on their intensions or meanings. It focuses on the internal properties and characteristics of these statements rather than their extension or reference to external objects or entities. In intensional logic, the intension of a statement refers to its sense or meaning, which includes all the necessary and sufficient conditions for its truth. This is in contrast to extensional logic, which focuses on the extension of a statement or its reference to specific objects or entities in the world. Intensional logic provides tools and techniques for analyzing statements that involve modalities such as possibility, necessity, belief, knowledge, and time. It allows for a more precise representation and reasoning about concepts that are not purely extensional in nature. One important concept in intensional logic is that of intensional contexts. These are contexts in which statements cannot be substituted with others having the same extension without affecting their truth value. This arises because the meaning or sense of a statement can determine its truth value independently of the actual state of affairs. Overall, intensional logic provides a framework for studying and analyzing statements based on their meaning and internal properties, enabling more sophisticated reasoning about concepts that go beyond simple extensional references. # Everyday use of "Intension" In everyday use, "intension" is not commonly used, but when it is, it generally refers to the inherent nature or quality of something. It can be used to describe the essence, purpose, or intended meaning of an idea, action, or object. For example, one might say that the intension of a poem is to evoke emotions or that the intension behind a decision was to promote fairness. # References ```dataview Table title as Title, authors as Authors where contains(subject, "Intension") or contains(subject, "intension") ```