Definition of Extensionality

1. Noun. (philosophy) The principle that objects are equal if and only if their observed properties are the same, regardless of internal processes that lead to those properties. ¹

2. Noun. (mathematics functional analysis) The principle that functions are equal if and only if they operate on the same domain and for any given element of the domain the result of each of the functions is the same. ¹

3. Noun. (mathematics set theory) The principle, codified in the axiom of extensionality, that sets are equal if and only if they contain the same elements. ¹

¹ Source: wiktionary.com

Definition of Extensionality

1. [n -TIES]

Lexicographical Neighbors of Extensionality

extensins
extension
extension agent
extension block
extension bridge
extension cable
extension cables
extension cord
extension course
extension form
extension ladder
extension phone
extension service
extensional
extensional definition
extensionality (current term)
extensionally
extensionist
extensionists
extensionless
extensions
extensities
extensity
extensive
extensive form game
extensive properties
extensively
extensiveness
extensivenesses
extensivity

Literary usage of Extensionality

Below you will find example usage of this term as found in modern and/or classical literature:

1. Prolegomena to the Study of Hegel's Philosophy and Especially of His Logic by William Wallace (1894)
"... and yet not leave it behind, in the infinitely-various modes of its two great and conspicuous attributes of consciousness and extensionality. ..."

2. The Praxis of Alain Badiou by Paul Ashton, A J Bartlett, Justin Clemens (2006)
"... in which the primacy of extensionality and the ubiquity of actual infinities reign supreme. It is interesting to observe, however, ..."

3. The Concept of Model: An Introduction to the Materialist Epistemology of by Alain Badiou (2007)
"There, we find the event defined in such a way that its identity cannot be established by the set-theoretic axiom of extensionality, the only means that ..."

4. Basic Concepts of Mathematics by Elias Zakon (2001)
"... and anti-symmetry of the inclusion relation, respectively; (c) is also called the axiom of extensionality.3 A set A may consist of a single element p; ..."

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