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Intensional logic is an approach to predicate logic that extends first-order logic, which has quantifiers that range over the individuals of a universe , by additional quantifiers that range over terms that may have such individuals as their value .
An intensional definition may also consist of rules or sets of axioms that define a set by describing a procedure for generating all of its members. For example, an intensional definition of square number can be "any number that can be expressed as some integer multiplied by itself". The rule—"take an integer and multiply it by itself ...
A language is intensional if it contains intensional statements, and extensional otherwise. All natural languages are intensional. [4] The only extensional languages are artificially constructed languages used in mathematical logic or for other special purposes and small fragments of natural languages.
An intensional definition, also called a connotative definition, specifies the necessary and sufficient conditions for a thing to be a member of a specific set. [3] Any definition that attempts to set out the essence of something, such as that by genus and differentia, is an intensional definition.
In philosophical logic, the masked-man fallacy (also known as the intensional fallacy or epistemic fallacy) [1] is committed when one makes an illicit use of Leibniz's law in an argument. Leibniz's law states that if A and B are the same object, then A and B are indiscernible (that is, they have all the same properties).
in philosophy of mind: an intensional state is a state which has a propositional content; in mathematical logic: see intensional statement. See also extensionality, and also intensional definition versus extensional definition; Intensional logic embraces the study of intensional languages: at least one of their functors is intensional. It can ...
Image credits: Ciphi #6 I Like The Idea Of Mr. Bean As An Alien, At Least In The Run Of The Original Series. The opening shows him beamed down to Earth from a ray of light ( a spaceship) and it ...
The extensional definition of function equality, discussed above, is commonly used in mathematics. ... Intensional Logic (Stanford Encyclopedia of Philosophy ...