routley star semantics
E356721
Routley star semantics is a possible-worlds-style semantic framework for relevant and paraconsistent logics that uses a special “star” operation on worlds to model negation without explosion.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Routley–Meyer semantics for relevant logic | 1 |
| routley star semantics canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T3417044 — 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.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: routley star semantics Context triple: [Graham Priest, hasConcept, routley star semantics]
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A.
Semantical Considerations on Modal Logic
Semantical Considerations on Modal Logic is a landmark philosophical paper by Saul Kripke that helped found possible-worlds semantics and revolutionized the study of modal logic.
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B.
Kleene strong three-valued logic
Kleene strong three-valued logic is a non-classical logical system that extends classical logic with a third truth value to rigorously handle indeterminate or partially defined statements.
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C.
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.
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D.
Fregean semantics
Fregean semantics is a theory of meaning in philosophy of language that distinguishes between the sense (Sinn) and reference (Bedeutung) of linguistic expressions to explain how terms can be cognitively significant even when they refer to the same object.
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E.
Leibnizian logic
Leibnizian logic is the rationalist, formal approach to logic and calculation developed by Gottfried Wilhelm Leibniz, emphasizing symbolic representation, logical calculus, and the reduction of mathematical and philosophical reasoning to precise logical principles.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: routley star semantics Target entity description: Routley star semantics is a possible-worlds-style semantic framework for relevant and paraconsistent logics that uses a special “star” operation on worlds to model negation without explosion.
-
A.
Semantical Considerations on Modal Logic
Semantical Considerations on Modal Logic is a landmark philosophical paper by Saul Kripke that helped found possible-worlds semantics and revolutionized the study of modal logic.
-
B.
Kleene strong three-valued logic
Kleene strong three-valued logic is a non-classical logical system that extends classical logic with a third truth value to rigorously handle indeterminate or partially defined statements.
-
C.
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.
-
D.
Fregean semantics
Fregean semantics is a theory of meaning in philosophy of language that distinguishes between the sense (Sinn) and reference (Bedeutung) of linguistic expressions to explain how terms can be cognitively significant even when they refer to the same object.
-
E.
Leibnizian logic
Leibnizian logic is the rationalist, formal approach to logic and calculation developed by Gottfried Wilhelm Leibniz, emphasizing symbolic representation, logical calculus, and the reduction of mathematical and philosophical reasoning to precise logical principles.
- F. None of above. chosen
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
nonclassical logic semantics
ⓘ
possible‑worlds semantics ⓘ semantic framework ⓘ |
| appliesTo |
Routley–Meyer semantics for relevant logic
ⓘ
linked to:
routley star semantics
systems of relevant logic such as R ⓘ |
| associatedWith |
Anderson–Belnap relevant logics
ⓘ
Sylvan, Richard ⓘ |
| avoids |
principle of explosion
ⓘ
triviality from contradictions ⓘ |
| basedOn |
accessibility relations
ⓘ
possible worlds ⓘ |
| clarifies |
difference between classical and relevant negation
ⓘ
role of worlds in modeling inconsistency ⓘ |
| contrastsWith |
classical Kripke semantics for modal logic
ⓘ
truth‑functional semantics for classical logic ⓘ |
| developedBy |
Richard Routley
ⓘ
Robert K. Meyer ⓘ |
| formalizes |
semantics of implication in relevant logic
ⓘ
semantics of negation in relevant logic ⓘ |
| hasComponent |
accessibility relation between worlds
ⓘ
set of worlds ⓘ star function on worlds ⓘ valuation function for propositional variables ⓘ |
| hasKeyFeature |
allows inconsistent but non‑trivial theories
ⓘ
allows relevant implication ⓘ generalizes Kripke semantics for nonclassical logics ⓘ interprets negation via starred worlds ⓘ models negation without explosion ⓘ uses a star operation on worlds ⓘ uses ordered pairs of worlds and their stars ⓘ |
| hasOperation |
Routley star
ⓘ
world‑to‑world involution ⓘ |
| hasProperty |
negation of a formula at a world is evaluated at the starred world
ⓘ
star of star of a world returns the original world ⓘ |
| influenced |
later semantics for paraconsistent logics
ⓘ
semantics for relevant entailment ⓘ |
| permits | true contradictions without triviality ⓘ |
| relatedTo |
dialetheism
ⓘ
non‑explosive logics ⓘ |
| supports |
paraconsistent negation
ⓘ
relevant implication ⓘ |
| usedFor |
paraconsistent logics
ⓘ
relevant logics ⓘ |
| usedIn |
philosophical logic
ⓘ
theory of paraconsistency ⓘ theory of relevance ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
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.
Input
Subject: routley star semantics Description of subject: Routley star semantics is a possible-worlds-style semantic framework for relevant and paraconsistent logics that uses a special “star” operation on worlds to model negation without explosion.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject linked to:
routley star semantics
linked to: routley star semantics