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.
All labels observed (5)
| Label | Occurrences |
|---|---|
| Outline of a Theory of Truth | 3 |
| Kripke | 1 |
| Kripke fixed-point theory of truth canonical | 1 |
| Kripke semantics | 1 |
| Kripkean fixed-point semantics | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T568439 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
Target entity: Kripke fixed-point theory of truth Context triple: [liar paradox, addressedBy, Kripke fixed-point theory of truth]
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A.
Tarski's undefinability theorem
Tarski's undefinability theorem is a fundamental result in mathematical logic showing that, in sufficiently strong formal systems, the notion of truth for the language of the system cannot be defined within that same language.
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B.
The Logical Syntax of Language
The Logical Syntax of Language is Rudolf Carnap’s seminal 1934 work that systematically develops a formal, logical framework for analyzing the structure and rules of scientific languages, helping to found logical empiricism and modern philosophy of language.
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C.
Tarskian object-language/metalanguage distinction
The Tarskian object-language/metalanguage distinction is a foundational semantic framework that separates the language in which statements are made from the higher-level language used to talk about and define their truth, thereby avoiding self-referential paradoxes like the liar paradox.
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D.
Remarks on the Foundations of Mathematics
Remarks on the Foundations of Mathematics is a posthumously published collection of Ludwig Wittgenstein’s later writings that critically examines the nature of mathematical truth, proof, and practice from a philosophical and language-centered perspective.
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E.
The Logical Structure of the World
The Logical Structure of the World is Rudolf Carnap’s seminal 1928 work in which he develops a rigorous, formal reconstruction of all scientific concepts from a phenomenalist basis, serving as a foundational text of logical positivism.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Kripke fixed-point theory of truth Target entity description: 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.
-
A.
Tarski's undefinability theorem
Tarski's undefinability theorem is a fundamental result in mathematical logic showing that, in sufficiently strong formal systems, the notion of truth for the language of the system cannot be defined within that same language.
-
B.
The Logical Syntax of Language
The Logical Syntax of Language is Rudolf Carnap’s seminal 1934 work that systematically develops a formal, logical framework for analyzing the structure and rules of scientific languages, helping to found logical empiricism and modern philosophy of language.
-
C.
Tarskian object-language/metalanguage distinction
The Tarskian object-language/metalanguage distinction is a foundational semantic framework that separates the language in which statements are made from the higher-level language used to talk about and define their truth, thereby avoiding self-referential paradoxes like the liar paradox.
-
D.
Remarks on the Foundations of Mathematics
Remarks on the Foundations of Mathematics is a posthumously published collection of Ludwig Wittgenstein’s later writings that critically examines the nature of mathematical truth, proof, and practice from a philosophical and language-centered perspective.
-
E.
The Logical Structure of the World
The Logical Structure of the World is Rudolf Carnap’s seminal 1928 work in which he develops a rigorous, formal reconstruction of all scientific concepts from a phenomenalist basis, serving as a foundational text of logical positivism.
- F. None of above. chosen
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 |
Kripke fixed-point theory of truth
self-linksurface differs
ⓘ
surface form:
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 object-language/metalanguage distinction
ⓘ
surface form:
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 |
Kripke fixed-point theory of truth
self-linksurface differs
ⓘ
surface form:
Outline of a Theory of Truth
|
| provides | fixed-point models for truth ⓘ |
| publication |
Kripke fixed-point theory of truth
self-linksurface differs
ⓘ
surface form:
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
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You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Subject: Kripke fixed-point theory of truth Description of subject: 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.
Referenced by (7)
Full triples — surface form annotated when it differs from this entity's canonical label.