What is the difference between intensional and extensional logic?
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 …
logic - What s the difference between extensional and ostensive ...
Aug 30, 2022 · 1 As I understand extensional definitions are a subcategory of ostensive definitions . Both of them work with the extension of a term, with examples of the object, by pointing out which …
logic - Why can Intensional Meaning determine Extensional Meaning?
Dec 19, 2015 · [1.] extensional definitions by themselves cannot properly serve as precising definitions for the following reason. The function of a precising definition is to clarify a vague word, and …
semantics - What is the relation between Sense/Denotation and …
Nov 3, 2016 · In an Extensional definition, we describe it by enumering every elements. The extension is determined by the intension. The Denotation of an expression is its reference, the object in the reality …
What is the definition of intension? - Philosophy Stack Exchange
Jul 28, 2020 · Note that ironically, under a classical set-theoretic treatment, this definition of intension is itself purely extensional: We are just collecting elements of the form <world,extension> into a set, …
philosophy of mathematics - Can set theory be non-extensional ...
Apr 7, 2022 · Here is Juliet Floyd stating "Wittgenstein's non-extensionalism, like Russell's in Principia, precluded development of an extensional theory of the infinite (set theory). https://youtu.be/
Is Arithmetic more Extensional than Probability?
Dec 2, 2023 · Arithmetic and set theory are extensional by that definition. Many logics are not. Probability is a tricky case, since we don't usually combine probability theory with quantifiers, though …
philosophy of language - Extensional context:"S believes in x ...
Sep 17, 2024 · That the context is intensional is obvious by substituting some co-extensional Y for X. Compare "Lois Lane believes in Superman's superpowers" to "Lois Lane believes in Clark Kent's …
philosophy of language - Can two predicates be necessarily ...
Oct 28, 2024 · Two predicates that share the same extension can be substituted in extensional contexts within a sentence without changing the truth value of the sentence. (This is sometimes called …
modal logic - How strong is the consensus on the usefulness of …
Sep 30, 2024 · In addition to providing a clear, extensional formal semantics for a formerly somewhat opaque, intensional notion, cashing possibility as truth in some possible world and necessity as truth …