Meaning Postulate

An object-language semantic axiom that restricts interpretations of lexical predicates, so a stipulated word relation supports analytic inferences beyond logical form alone.

Version

v1 · 2026-09-28 · History

Domain-specific #

10635

Domain group

Humanities

Origin domain

Philosophy

Subdomains

Philosophy of Language, Formal Semantics → Philosophy

Aliases

Semantic meaning postulate

Core Idea

A meaning postulate is a stipulated sentence inside the object language of a formal semantic theory. It restricts how nonlogical predicates may be interpreted, encoding a lexical relation not already delivered by compositional rules. Carnap's familiar example makes Bachelor(x) equivalent to Unmarried(x) and Man(x), so an admissible model cannot interpret bachelor and unmarried independently.

The postulate explains a specific contrast in necessity. 'Fido is black or not black' is true from logical connectives whatever black means; 'a bachelor is unmarried' depends on the lexical relation admitted by the theory. A meaning postulate is therefore neither a report about all observed bachelors nor a claim that bare logical syntax contains the meanings of words. Its role is to make a word-dependent inference explicit and model-checkable.

Structural Signature

Sig role-phrases:

• Object-language sentence — Places the constraint inside the formal language rather than leaving it as informal metalanguage commentary. It is constitutive. Counterfactual: A dictionary note outside the theory is not yet a meaning postulate in that theory.
• Lexical predicates — Provides the nonlogical expressions whose interpretations are to be related. It is constitutive. Counterfactual: A formula involving only logical connectives does not add a lexical constraint.
• Stipulated relation — States inclusion, exclusion, or equivalence such as bachelor iff unmarried man. It is constitutive. Counterfactual: Without this relation the model permits interpretations that need not preserve the intended word meaning.
• Admissible interpretation — Restricts which predicate extensions count as models of the semantic theory. It is operating effect. Counterfactual: If no interpretation is ruled out, the alleged postulate does no semantic work.
• Lexical analytic inference — Allows a conclusion from stipulated word meaning, unlike a theorem of logical form alone. It is diagnostic output. Counterfactual: Without the lexical constraint bachelor does not logically entail unmarried in arbitrary interpretations.

What It Is Not

• It is not a logical tautology whose truth survives arbitrary interpretations of nonlogical words.
• It is not an empirical census of who happens to be unmarried.
• It is not merely a natural-language dictionary gloss unless it is entered as a constraint in the formal object language.
• It is not the whole compositional semantics of a language; it supplies particular lexical relations beyond that base.
• Closest near-miss. 'Fido is black or not black' is necessarily true by connective rules; 'a bachelor is unmarried' requires the bachelor/unmarried lexical relation in the intended semantics.

Scope of Application

• Formal semantics. Constrains interpretation of predicates according to lexical relations.
• Analyticity analysis. Separates word-dependent necessity from logical validity alone.
• Montague-style grammar. Provides explicit lexical constraints in a compositional formal system.
• Model comparison. Rejects interpretations that violate the stipulated predicate relation.

Clarity

Show the object-language formula and name the predicates it relates. State which interpretations it excludes and which lexical inference follows. Bachelor iff unmarried man is an illustrative stipulated relation; excluded middle requires no such postulate. A statistical regularity among observed people would not by itself constrain all semantic models.

Manages Complexity

A formal semantic theory can otherwise hide lexical content in informal interpretation notes. Making a predicate relation explicit separates connective-driven theorems from word-meaning-driven ones and gives model comparison an exact point at which an intended reading is enforced.

Abstract Reasoning

1. Identify the nonlogical predicates whose meanings are not fixed by syntax alone.
2. Write or recognize the object-language constraint the theory admits.
3. Check how that constraint removes otherwise possible predicate interpretations.
4. Derive the claimed lexical inference only within models satisfying the postulate.
5. Contrast a logical tautology that remains valid when the lexical predicates are reinterpreted.

Knowledge Transfer

The predicate-constraint method transfers among formal semantic theories that stipulate lexical relations and assess models under them. A domain ontology can share the logical pattern if it truly adds admitted object-language axioms; ordinary word associations or empirical correlations are analogies until they constrain interpretation in a formal system.

Examples

Canonical

A formal theory stipulates for every x that Bachelor(x) holds exactly when Unmarried(x) and Man(x) hold. A model that makes Jack a bachelor yet married violates the postulate, so the inference from bachelor to unmarried is licensed by the lexical constraint, not by 'if' alone.

Mapped back: Object-language sentence → universal biconditional over x; Lexical predicates → Bachelor, Unmarried, Man; Stipulated relation → Bachelor iff Unmarried and Man; Admissible interpretation → models assigning the required predicate extensions; Lexical analytic inference → Bachelor(Jack) entails Unmarried(Jack).

Applied / In Practice

'Fido is black or Fido is not black' remains true regardless of what 'black' denotes, so it tests logical form, not a meaning postulate. No extra relation among lexical predicates is needed to constrain models for this inference.

Mapped back: Object-language sentence → excluded-middle sentence; Lexical predicates → Black appears but its extension is arbitrary; Stipulated relation → absent; Admissible interpretation → all classical interpretations permit the tautology; Lexical analytic inference → not needed; truth follows connectives.

Structural Tensions

T1 — Logical Form versus Lexical Content. A tautology is valid under arbitrary word interpretations, while a meaning postulate narrows those interpretations to secure a word-dependent inference.

Diagnostic: Would changing predicate meanings break the claimed necessity?

T2 — Compositional Rules versus Additional Lexical Stipulation. Formal syntax and composition may not encode a desired term relation, so an explicit object-language constraint adds semantic structure at the cost of further assumptions.

Diagnostic: Which relation is missing from the base language's interpretation rules?

Structural–Framed Character

The approved DAG parent is Axiom: a semantic theory admits a starting object-language sentence that constrains models. Meaning postulates add a lexical relation among nonlogical predicates and can license analytic consequences beyond logic alone.

Evaluative weight: Low; stipulation organizes a model, not empirical truth. Human-practice-bound: Moderate, because theorists choose lexical constraints while consequences are formal. Institutional origin: Formal semantics names the method, not ordinary word associations. Vocabulary travels: Related ontologies can use admitted lexical axioms after specifying their language. Import versus recognize: Recognize a postulate by its object-language model restriction; mere correlation or dictionary association imports no formal consequence.

Its character: A lexical-semantic axiom subtype with portable model restriction and word-meaning boundary.

Structural Core vs. Domain Accent

Skeletal core. An admitted formula restricts admissible models and supports deduction.

Domain-bound accent. Nonlogical lexical predicates in an object language supply analytic relations beyond logical connectives.

Why not prime. Axiom is broader; engineering rules without lexical-semantic function are not meaning postulates.

Instantiates / Related Primes

This entry is a kind of Axiom.

• Strict parent — Axiom. A meaning postulate is a claim admitted as a starting constraint in a formal system: its lexical content is not derived from connectives, and subsequent interpretation and inference rely on it. The child adds object-language predicate and analyticity roles.

• Related — formal semantics and compositional interpretation. They supply the language/model setting; the meaning postulate adds a selected lexical constraint rather than replacing the entire semantics.

Relationships to Other Abstractions

Current abstraction Meaning Postulate Domain-specific

Parents (1) — more general patterns this builds on

• Meaning Postulate is a kind of Axiom Prime

  A meaning postulate is an admitted semantic starting claim that restricts lexical predicate interpretations.

Hierarchy path (1) — routes to 1 parentless root

• Meaning Postulate → Axiom → Epistemic Mode Of A Proposition

Neighborhood in Abstraction Space

Meaning Postulate sits in a crowded region of the domain-specific corpus (35^th percentile for distinctiveness): several abstractions share nearly its structure, so a description that fits it tends to fit its neighbors too.

Family — Logical Connectives & Formal Systems (13 abstractions)

Nearest neighbors

• Connotation — 0.89
• Literal movement grammar — 0.89
• First-Order Arithmetic — 0.88
• Constraint Grammar — 0.87
• Productivity (linguistics) — 0.87

Computed from structural-signature embeddings · 2026-10-08

Not to Be Confused With

• Logical tautology. Tell: Valid by connective structure under arbitrary predicate meanings.
• Empirical generalization. Tell: Could fail in a case without violating the semantic stipulation of a model.
• Dictionary definition. Tell: May motivate but is not itself an admitted object-language axiom.
• Compositional semantics. Tell: Base rules combine meanings; the postulate adds a selected relation between lexical items.

References

• Frozen Wikipedia discovery revision: https://en.wikipedia.org/wiki/Meaning_postulate (revision 1349172540).

The frozen Wikipedia revision is discovery provenance. The retained source set was reviewed for identity, formal or operational relation, and scope. The encyclopedia's structural synthesis is bounded to those claims; a thin authority surface is recorded as a nonblocking source-strengthening repair rather than concealed.