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extensionality

Meaning of "extensionality" in the English dictionary

DICTIONARY

PRONUNCIATION OF EXTENSIONALITY

ɪkˌstɛnʃəˈnælɪtɪ


GRAMMATICAL CATEGORY OF EXTENSIONALITY

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Extensionality is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES EXTENSIONALITY MEAN IN ENGLISH?

Extensionality

In logic, extensionality, or extensional equality refers to principles that judge objects to be equal if they have the same external properties. It stands in contrast to the concept of intensionality, which is concerned with whether the internal definitions of objects are the same.

Definition of extensionality in the English dictionary

The definition of extensionality in the dictionary is the principle that sets are definable in terms of their elements alone, whatever way they may have been selected. Thus {a, b}={b, a}={first two letters of the alphabet}.

WORDS THAT RHYME WITH EXTENSIONALITY

additionality · cardinality · carnality · commonality · constitutionality · criminality · emotionality · externality · finality · internationality · irrationality · marginality · nationality · originality · penality · personality · proportionality · rationality · tonality · venality

WORDS THAT BEGIN LIKE EXTENSIONALITY

extensimeter · extension · extension cable · extension cord · extension courses · extension ladder · extension lead · extension light · extension ring · extension tube · extensional · extensionalism · extensionally · extensionist · extensity · extensive · extensively · extensiveness · extensivisation · extensivization

WORDS THAT END LIKE EXTENSIONALITY

ability · air quality · augmented reality · confidentiality · equality · functionality · homosexuality · hospitality · in reality · inequality · locality · low-quality · morality · mortality · municipality · quality · reality · sexuality · speciality · spirituality · vitality

Synonyms and antonyms of extensionality in the English dictionary of synonyms

SYNONYMS

Translation of «extensionality» into 25 languages

TRANSLATOR

TRANSLATION OF EXTENSIONALITY

Find out the translation of extensionality to 25 languages with our English multilingual translator.

The translations of extensionality from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «extensionality» in English.
zh

Translator English - Chinese

外延
1,325 millions of speakers
es

Translator English - Spanish

extensionalidad
570 millions of speakers
en

English

extensionality
510 millions of speakers
hi

Translator English - Hindi

extensionality
380 millions of speakers
ar

Translator English - Arabic

extensionality
280 millions of speakers
ru

Translator English - Russian

экстенсиональность
278 millions of speakers
pt

Translator English - Portuguese

extensionality
270 millions of speakers
bn

Translator English - Bengali

extensionality
260 millions of speakers
fr

Translator English - French

extensionnalité
220 millions of speakers
ms

Translator English - Malay

Kepelbagaian
190 millions of speakers
de

Translator English - German

Extensionalität
180 millions of speakers
ja

Translator English - Japanese

外延
130 millions of speakers
ko

Translator English - Korean

extensionality
85 millions of speakers
jv

Translator English - Javanese

Extensionality
85 millions of speakers
vi

Translator English - Vietnamese

extensionality
80 millions of speakers
ta

Translator English - Tamil

extensionality
75 millions of speakers
mr

Translator English - Marathi

विस्तारकता
75 millions of speakers
tr

Translator English - Turkish

Genişletilebilirlik
70 millions of speakers
it

Translator English - Italian

estensionalità
65 millions of speakers
pl

Translator English - Polish

ekstensjonalności
50 millions of speakers
uk

Translator English - Ukrainian

екстенсіональність
40 millions of speakers
ro

Translator English - Romanian

extensionality
30 millions of speakers
el

Translator English - Greek

Επεκτασιμότητα
15 millions of speakers
af

Translator English - Afrikaans

´n uitbreiding van
14 millions of speakers
sv

Translator English - Swedish

extensionality
10 millions of speakers
no

Translator English - Norwegian

extensionality
5 millions of speakers

Trends of use of extensionality

TRENDS

TENDENCIES OF USE OF THE TERM «EXTENSIONALITY»

Principal search tendencies and common uses of extensionality
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «extensionality».

Examples of use in the English literature, quotes and news about extensionality

EXAMPLES

10 ENGLISH BOOKS RELATING TO «EXTENSIONALITY»

Discover the use of extensionality in the following bibliographical selection. Books relating to extensionality and brief extracts from same to provide context of its use in English literature.
1
Studies in Metaphysics
Peter A. French, Theodore Edward Uehling, Howard K. Wettstein. Rosenberg and Martin attempt (p. 404) to save the extensionality of a causal reading of a statement such as: (2) The Titanic sank because it struck an iceberg on April 14, 1912, ...
Peter A. French, Theodore Edward Uehling, Howard K. Wettstein, 1979
2
Frege: Philosophy of Language
In any case, there is nothing anywhere in Frege's writings to indicate that NS 128 (u8) he held the principle of extensionality to be false for concepts: indeed, his doctrine of indirect reference in effect precluded him from acknowledging as ...
Michael Dummett, 1981
3
Axiomatic set theory, Part 2
THE. CONSISTENCY. OF. PARTIAL. SET. THEORY. WITHOUT. EXTENSIONALITY. P. C. GILMORE 1. Introduction. Consider sets defined over a universe D. The characteristic function fs of a set S is defined as /s(x)=l ifxeS, = 0 ifx£S, where ...
Dana S Scott Pure Mathematics Symposium Staff
4
The Connectives
The picture would be simplified if weak extensionality, implying left-extensionality but not right-extensionality, turned out to be just equivalent to left-extensionality. Admittedly the proof given of 3.23.1, showing extensionality to imply weak ...
Lloyd Humberstone, 2011
5
The Foundations of Frege's Logic
The Extensionality Thesis Yet this is exactly the view that is implied by what Frege says in other places. In Section 1 of Grundgesetze, for instance, Frege considers the expression '(2+3.x2).x', and says that [t]he essence of the corresponding ...
Pavel Tichý, 1988
6
Types, Tableaus, and Gödel’s God
Extensionality says that properties applying to the same objects are identical. Just as was done with equality in Chapter 5, extensionality is added via axioms. Throughout this chapter it is, of course, assumed that equality is available. 1. Adding ...
M. Fitting, 2002
7
Semantics and Logics of Computation
Although in LF one can identify functional types with H-types, extensionality for functions is not derivable (from Eeq). Therefore, it has to be included explicitly as additional rule. 0 LF-signature extension Em for extensionality rules: H-ext HX ...
Andrew M. Pitts, P. Dybjer, 1997
8
Quintessence: Basic Readings from the Philosophy of W.V. Quine
as of (l)-(3) is reconcilable with this policy of extensionality, since whatever breach of extensionality it prima facie involves is shared by examples like (10) and attributable to the referential opacity of quotation. We can always switch to the ...
Willard Van Orman Quine, Roger F. Gibson, 2004
9
Heuristics and Biases: The Psychology of Intuitive Judgment
However, the extensionality assumption is descriptively invalid because alternative descriptions of the same event often produce systematically different judgments. The following three examples illustrate this phenomenon and motivate the ...
Thomas Gilovich, Dale Griffin, Daniel Kahneman, 2002
10
Media/Theory: Thinking about Media and Communications
Shaun Moores draws on ideas from a range of disciplines, and provides an accessible yet challenging guide to ways of thinking about media and communications in modern life.
Shaun Moores, 2007

4 NEWS ITEMS WHICH INCLUDE THE TERM «EXTENSIONALITY»

Find out what the national and international press are talking about and how the term extensionality is used in the context of the following news items.
1
MiG Presents the First 3D Simulator
Its main feature is the higher level of accuracy in imitation of imagery's extensionality, viewed by the pilot from the cockpit. The system produces ... «Aerospace Manufacturing and Design, Nov 11»
2
Korea: Deep thoughts on last April's by-elections
Through the party's defeat in Gimhae Eul, The PPP members should reflect deeply on the party's popularity and extensionality. As a highly ... «Asian Correspondent, Jun 11»
3
Stuart Hall: I spray words about like a machine gun. If people say …
You always go to a match aspiring to see an extensionality of the beautiful game. I've come away full of disappointment, welling up with tears, ... «Daily Mail, Apr 10»
4
Alternative Axioms: NBG Set Theory
**The axiom of Extensionality**: (∀x: x;∈a ⇔ x∈x ⇒ a=b): sets are equal if and only if they have the same members. 3. **The axiom of Class ... «ScienceBlogs, Jun 07»
REFERENCE
« EDUCALINGO. Extensionality [online]. Available <https://educalingo.com/en/dic-en/extensionality>. Apr 2024 ».
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