Triple
T15990200
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Kripke–Platek set theory |
E387803
|
entity |
| Predicate | isInterpretableIn |
P121196
|
FINISHED |
| Object | Zermelo–Fraenkel set theory |
E13857
|
NE FINISHED |
How this triple was built (3 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Zermelo–Fraenkel set theory | Statement: [Kripke–Platek set theory, isInterpretableIn, Zermelo–Fraenkel set theory]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Zermelo–Fraenkel set theory Context triple: [Kripke–Platek set theory, isInterpretableIn, Zermelo–Fraenkel set theory]
-
A.
Zermelo–Fraenkel set theory
chosen
Zermelo–Fraenkel set theory is the standard axiomatic framework for modern set theory, designed to avoid paradoxes and provide a rigorous foundation for much of mathematics.
-
B.
Zermelo set theory
Zermelo set theory is an early axiomatic system for set theory, introduced by Ernst Zermelo to rigorously formalize the concept of sets and avoid known paradoxes.
-
C.
von Neumann–Bernays–Gödel set theory
Von Neumann–Bernays–Gödel set theory is an axiomatic set theory extending Zermelo–Fraenkel set theory by formally distinguishing between sets and classes, widely used in foundational studies of mathematics.
-
D.
Kripke–Platek set theory
Kripke–Platek set theory is a weaker, predicative subsystem of Zermelo–Fraenkel set theory focused on sets that are explicitly constructible and often used in the study of admissible sets and recursion theory.
-
E.
set theory
Set theory is a foundational branch of mathematical logic that studies collections of objects, called sets, and underpins much of modern mathematics.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isInterpretableIn Context triple: [Kripke–Platek set theory, isInterpretableIn, Zermelo–Fraenkel set theory]
-
A.
isInterpretedBy
Indicates that something (such as data, a work, or a signal) is given meaning, understanding, or explanation by a particular agent or process.
-
B.
areInterpretedInPracticeBy
Indicates that something (such as a rule, concept, or specification) is given concrete meaning or applied in real-world situations by a particular agent or group.
-
C.
containsInterpretationOf
Indicates that one entity includes or embodies an interpretation or understanding of another entity.
-
D.
hasExplicitInterpretation
Indicates that something is associated with a clearly defined and unambiguous meaning or interpretation.
-
E.
isInterpretedDifferentlyIn
Indicates that the same item, event, or expression is understood or construed in a different way within a specified context, group, or setting.
- F. None of above. chosen
Provenance (5 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69d86daa562c81908aacc179c0fe8fb5 |
completed | April 10, 2026, 3:25 a.m. |
| NER | Named-entity recognition | batch_69e17d4e871c819082d7b1c1eaf5b4fe |
completed | April 17, 2026, 12:22 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69ffcf1cb1388190b1ebccc6705e5974 |
completed | May 10, 2026, 12:19 a.m. |
| PD | Predicate disambiguation | batch_69e142d9d8e881909b559a3e3ca21d24 |
completed | April 16, 2026, 8:13 p.m. |
| PDg | Predicate description generation | batch_69e17d48cc9c8190b03fd07ae2e9dfd8 |
completed | April 17, 2026, 12:22 a.m. |
Created at: April 10, 2026, 4:54 a.m.