logicSystem
P4930
predicate
Indicates a relationship where an entity is associated with, defined within, or governed by a particular logical framework or system of formal reasoning.
All labels observed (5)
| Label | Occurrences |
|---|---|
| hasAxiomSystem | 7 |
| logicalFramework | 3 |
| logicSystem canonical | 1 |
| logicalFoundation | 1 |
| logicalSystem | 1 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: logicSystem
Generated description
Indicates a relationship where an entity is associated with, defined within, or governed by a particular logical framework or system of formal reasoning.
Sample triples (13)
| Subject | Object |
|---|---|
| Principia Mathematica | ramified theory of types ⓘ |
| Zermelo–Fraenkel set theory | first-order logic via predicate surface "logicalFramework" ⓘ |
| Frege’s system in "Grundgesetze der Arithmetik" | axiomatic calculus for functions and objects via predicate surface "logicalFramework" ⓘ |
| set theory | Zermelo–Fraenkel set theory via predicate surface "hasAxiomSystem" ⓘ |
| set theory |
Zermelo–Fraenkel set theory
via predicate surface "hasAxiomSystem"
ⓘ
surface form:
Zermelo–Fraenkel set theory with Choice
|
| set theory | von Neumann–Bernays–Gödel set theory via predicate surface "hasAxiomSystem" ⓘ |
| set theory | Kripke–Platek set theory via predicate surface "hasAxiomSystem" ⓘ |
| set theory | naive set theory via predicate surface "hasAxiomSystem" ⓘ |
| Kazimierz Kuratowski | Kuratowski closure axioms via predicate surface "hasAxiomSystem" ⓘ |
| Euclidean geometry | Euclid's postulates via predicate surface "hasAxiomSystem" NERFINISHED ⓘ |
| TLA | linear-time temporal logic via predicate surface "logicalFoundation" ⓘ |
| Grundgesetze der Arithmetik, Volume I | Frege’s Begriffsschrift-based notation via predicate surface "logicalSystem" ⓘ |
| Rosser’s trick in incompleteness proofs | first-order arithmetic via predicate surface "logicalFramework" ⓘ |