exˌtensioˈnality

C2
UK/ɪkˌsten.ʃənˈæl.ə.ti/US/ɪkˌsten.tʃənˈæl.ə.t̬i/

Formal, Technical, Academic

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Definition

Meaning

In a manner related to or defined by the external properties, behavior, or referents of something, rather than its internal structure or description.

In logic and philosophy of language: the principle or method of evaluating meaning or truth based on extensions (i.e., the set of objects a term refers to, or the truth-values of statements), as opposed to intensions (concepts, senses, or internal definitions).

Linguistics

Semantic Notes

Primarily a technical term in logic, philosophy of language, and computer science (especially semantics of programming languages). It is an adverb derived from 'extensional'. Its use is almost entirely confined to discussions about meaning, reference, and equivalence.

Dialectal Variation

British vs American Usage

Differences

No significant difference in meaning or usage. Spelling follows regional norms for '-ly' adverb formation.

Connotations

Highly technical and precise in both varieties.

Frequency

Extremely rare in general usage, but used with equal technical specificity in British and American academic writing.

Vocabulary

Collocations

strong
defined extensionallytreated extensionallyunderstood extensionallyprinciple of extensionality
medium
compare extensionallyreason extensionallyextensionality criterion
weak
purely extensionallystrictly extensionallymerely extensionally

Grammar

Valency Patterns

[Subject] + [verb of definition/equivalence] + extensionally[Concept/Theory] + is + based + extensionally + on [criterion]

Vocabulary

Synonyms

Strong

none exact; 'by its extension' is a paraphrased equivalent

Neutral

by extensionreferentiallydenotationally

Weak

externallybehaviorallyobservationally

Vocabulary

Antonyms

intensionallyconceptuallyby intension

Phrases

Idioms & Phrases

  • (no common idioms)

Usage

Context Usage

Business

Virtually never used.

Academic

Core term in analytic philosophy, logic, and formal semantics. E.g., 'Two sets are equal if they are extensionally equivalent.'

Everyday

Extremely unlikely to be encountered or used.

Technical

Used in theoretical computer science, especially in formal methods and programming language theory discussing semantic equivalence.

Examples

By Part of Speech

verb

British English

  • The theory defines predicate truth extensionally.
  • We can characterise the set extensionally.

American English

  • The model interprets the symbols extensionally.
  • They specified the function extensionally.

adverb

British English

  • The two concepts are equivalent only if viewed extensionally.
  • The law applies extensionally to all cases.

American English

  • We must think extensionally about this problem.
  • The system's behavior is defined extensionally.

adjective

British English

  • This is an extensional treatment of meaning.
  • An extensional definition lists members.

American English

  • He provided an extensional account of the concept.
  • Extensional equivalence is crucial.

Examples

By CEFR Level

A2
  • (Not applicable for this level.)
B1
  • (Not applicable for this level.)
B2
  • In simple terms, to define a set extensionally means to list all its elements.
C1
  • Philosophers debate whether natural kind terms like 'water' can be defined purely extensionally by their physical composition.
  • The two computer programs are considered equivalent extensionally because they produce identical outputs for all inputs.

Learning

Memory Aids

Mnemonic

Think of an EXTENSIONAL garden hose: what matters is which flowers it reaches (its extension), not what colour the hose is (its intension). To think EXTENSIONALLY is to care about what things it connects to.

Conceptual Metaphor

MEANING AS A LIST: Understanding a word extensionally is like defining it by writing a list of everything it applies to.

Watch out

Common Pitfalls

Translation Traps (for Russian speakers)

  • Do not confuse with 'расширительно' (in an expanded sense).
  • The Russian philosophical term 'экстенсионально' is a direct cognate but is itself a high-register loanword.
  • Avoid translating it as 'внешне' (externally in a physical sense); it's a logical, not spatial, term.

Common Mistakes

  • Confusing 'extensionally' (adverb) with 'extensionality' (noun).
  • Using it in non-technical contexts where 'generally' or 'broadly' is intended.
  • Misspelling as 'extentionally'.

Practice

Quiz

Fill in the gap
In set theory, two sets are identical if they are equivalent, meaning they contain exactly the same members.
Multiple Choice

In which field is the term 'extensionally' MOST commonly used?

FAQ

Frequently Asked Questions

It means 'by what things it refers to' or 'by its external effects/outputs', not by its internal meaning or description.

No, it is a highly specialized term used almost exclusively in academic discussions about logic, language, and meaning.

'Extensively' means 'to a great degree or over a large area'. 'Extensionally' is a technical term about reference and equivalence. They are false friends.

The terms 'creature with a kidney' and 'creature with a heart' are extensionally equivalent if, in the real world, exactly the same animals have kidneys as have hearts. Their meanings (intensions) are different, but their extensions are the same.