ATLAS OF LANGUAGE

AT-NAV-G02-052 · ATLAS 259

Extension

Extension is an expression's denotational range relative to a specified evaluation framework.

Part of the subject path Philosophy of Language, Thought and Knowledge

Why is this entry in the Atlas?

G · Foundational concept R2 · Necessary foundation

Extension is needed to distinguish an expression's denotational range from its conceptual specification. The evaluation framework and intended sense must be fixed for each comparison.

Colours and admission grounds

The rectangular label identifies the entry function: F – linguistic figure or procedure; A – analytical concept; G – foundational concept; E – selected concrete case. The rounded badge indicates the admission ground: R1 – distinctive contribution; R2 – necessary foundation; R3 – justified illustrative case. This editorial rationale explains the current selection rather than claiming an undocumented original selection history.

Explanation

Extension concerns what an expression applies to within a specified evaluation framework. For a one-place predicate, it can be represented as a set of objects. Membership may change with time or the world considered without automatically constituting semantic change. Other expression types receive different formal denotations. In hyponymy, the relevant issue is set inclusion; semantic broadening instead concerns change in linguistic use over time. These questions require different evidence.

Movement of thought

1. Specify expression type and evaluation framework. 2. Identify the applicable objects. 3. Distinguish extension from mode of meaning. 4. Separate synchronic set relations from historical change.

Scientific use case

A formal semantic analysis could assign extensions in a finite model and test inclusion between two predicate extensions.

Example

In an invented inventory containing two lamps and three chairs, lamp has the two lamps in its extension. Buying a third enlarges that set without necessarily changing the word’s meaning.

Counterexample

Two expressions may apply to the same objects in a model while still differing in meaning.

Distinction

Distinguish intension, connotation and historical semantic broadening. Denotation depends on expression type; a predicate’s set is one important case.

Effect on thought and perception

The concept specifies which objects a claim concerns within the chosen framework.

Resonance

A word draws a circle around things; the circle is not its whole meaning.

Provenance

Parallel source review reconciled 2026-10-07; human specialist review not claimed.

Cite this entry

Reich, Michael (Hrsg./ed.): „Extension“. Atlas der Sprache, AT-NAV-G02-052. ATLAS 259, data model 1.6.0. https://atlasoflanguage.com/concept/AT-NAV-G02-052

https://atlasoflanguage.com/concept/AT-NAV-G02-052

The address remains stable; editorial content may evolve. Editorial reading state: 2026-10-15. Include your access date for precise references.