Kripke fixed-point theory of truth

E71398

The Kripke fixed-point theory of truth is a semantic framework developed by Saul Kripke that uses partial truth predicates and fixed points to consistently handle self-referential sentences and semantic paradoxes like the liar paradox.

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AI-generated illustration of Kripke fixed-point theory of truth

This AI-generated illustration was produced by black-forest-labs/FLUX.2-dev (1024x1024) from a prompt written by openai/gpt-oss-120b from the entity's label + description.

Prompt

Generate an image of the Kripke fixed-point theory of truth (The Kripke fixed-point theory of truth is a semantic framework developed by Saul Kripke that uses partial truth predicates and fixed points to consistently handle self-referential sentences and semantic paradoxes like the liar paradox.)

All labels observed (5)

How this entity was disambiguated

Statements (47)

Predicate Object
instanceOf fixed-point theory ⓘ
non-classical theory of truth ⓘ
semantic theory ⓘ
theory of truth ⓘ
addresses liar paradox ⓘ
aimsTo handle self-referential sentences ⓘ
handle semantic paradoxes ⓘ
allowsTruthValue false ⓘ
true ⓘ
undefined ⓘ
analyzes grounded sentences ⓘ
ungrounded sentences ⓘ
appliesTo languages with a truth predicate ⓘ
assumes standard model of arithmetic for base language ⓘ
avoids hierarchy of metalanguages ⓘ
basedOn Kripkean fixed-point semantics ⓘ
partial interpretation of the truth predicate ⓘ
characterizedBy groundedness of sentences ⓘ
partial valuation of sentences ⓘ
three-valued semantics ⓘ
compatibleWith classical logic for grounded sentences ⓘ
dateProposed 1970s ⓘ
developedBy Saul Kripke ⓘ
differsFrom Tarskian hierarchy of languages ⓘ
ensures consistency of the truth predicate ⓘ
field formal semantics ⓘ
philosophical logic ⓘ
philosophy of language ⓘ
influenced deflationary approaches to truth ⓘ
partial theories of truth ⓘ
revision theories of truth ⓘ
introducedConcept maximal fixed point of the truth operator ⓘ
minimal fixed point of the truth operator ⓘ
partial truth definition ⓘ
oftenFormalizedWith Kleene strong three-valued logic ⓘ
permits truth predicate in its own language ⓘ
presentedIn Outline of a Theory of Truth ⓘ
provides fixed-point models for truth ⓘ
publication Outline of a Theory of Truth ⓘ
relatedTo Tarski’s semantic conception of truth ⓘ
resolves semantic paradoxes by truth-value gaps ⓘ
treatsAs liar sentence as undefined ⓘ
ungrounded sentences as undefined ⓘ
uses fixed-point construction ⓘ
partial truth predicate ⓘ
usesMethod iterative construction of truth values ⓘ
transfinite recursion on ordinals ⓘ

How these facts were elicited

Referenced by (7)

Full triples — surface form annotated when it differs from this entity's canonical label.

liar paradox → addressedBy → Kripke fixed-point theory of truth ⓘ
Saul Kripke → familyName → Kripke ⓘ
linked to: Kripke fixed-point theory of truth
Saul Kripke → notableWork → Outline of a Theory of Truth ⓘ
linked to: Kripke fixed-point theory of truth
Saul Kripke → knownFor → Kripke semantics ⓘ
linked to: Kripke fixed-point theory of truth
Kripke fixed-point theory of truth → basedOn → Kripkean fixed-point semantics ⓘ
linked to: Kripke fixed-point theory of truth
Kripke fixed-point theory of truth → publication → Outline of a Theory of Truth ⓘ
linked to: Kripke fixed-point theory of truth
Kripke fixed-point theory of truth → presentedIn → Outline of a Theory of Truth ⓘ
linked to: Kripke fixed-point theory of truth