ENGLISH DICTIONARY

Extensionality

Pronunciation varies by accent · noun

Meaning

(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..

Definitions by Sense

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

Word Forms

extensionalities

Related Words

When Should You Use Extensionality?

Use extensionality when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.

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Frequently Asked Questions

What does extensionality mean?

Extensionality means (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..

What is a synonym for extensionality?

The closest synonym depends on the sentence and intended sense.

What is the opposite of extensionality?

The opposite depends on the specific sense.

How do you use extensionality in a sentence?

Use extensionality where its definition matches the intended context.

Sources & Attribution

FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0

Dictionary data is provided by FreeDictionaryAPI.com and sourced from Wiktionary under its stated license.

ENGLISH DICTIONARY

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Definitions by Sense

(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.

(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.

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

Frequently Asked Questions

What does extensionality mean?

Extensionality means (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..

What is a synonym for extensionality?

The closest synonym depends on the sentence and intended sense.

What is the opposite of extensionality?

The opposite depends on the specific sense.

How do you use extensionality in a sentence?

Use extensionality where its definition matches the intended context.

Sources & Attribution

FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0

Dictionary data is provided by FreeDictionaryAPI.com and sourced from Wiktionary under its stated license.