Triple
T15785634
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | New Foundations for Mathematical Logic |
E382730
|
entity |
| Predicate | associatedWith |
P37
|
FINISHED |
| Object |
NF set theory
NF set theory is a nonstandard axiomatic set theory, introduced by W.V.O. Quine, that modifies the comprehension axiom via a stratification requirement to avoid paradoxes while allowing a universal set.
|
E1176571
|
NE FINISHED |
How this triple was built (4 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: NF set theory | Statement: [New Foundations for Mathematical Logic, associatedWith, NF set theory]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: NF set theory Context triple: [New Foundations for Mathematical Logic, associatedWith, NF set theory]
-
A.
von Neumann universe
The von Neumann universe is a cumulative, well-founded hierarchy of sets used as a standard model of the set-theoretic universe in axiomatic set theory.
-
B.
Zermelo–Fraenkel set theory
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.
-
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.
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.
-
E.
von Neumann paradox in set theory
The von Neumann paradox in set theory is a foundational result showing that, under certain group-theoretic conditions, a set can be decomposed and reassembled into paradoxical subsets of equal “size,” illustrating the counterintuitive consequences of the axiom of choice.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: NF set theory Triple: [New Foundations for Mathematical Logic, associatedWith, NF set theory]
Generated description
NF set theory is a nonstandard axiomatic set theory, introduced by W.V.O. Quine, that modifies the comprehension axiom via a stratification requirement to avoid paradoxes while allowing a universal set.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: NF set theory Target entity description: NF set theory is a nonstandard axiomatic set theory, introduced by W.V.O. Quine, that modifies the comprehension axiom via a stratification requirement to avoid paradoxes while allowing a universal set.
-
A.
von Neumann universe
The von Neumann universe is a cumulative, well-founded hierarchy of sets used as a standard model of the set-theoretic universe in axiomatic set theory.
-
B.
Zermelo–Fraenkel set theory
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.
-
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.
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.
-
E.
von Neumann paradox in set theory
The von Neumann paradox in set theory is a foundational result showing that, under certain group-theoretic conditions, a set can be decomposed and reassembled into paradoxical subsets of equal “size,” illustrating the counterintuitive consequences of the axiom of choice.
- 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_69d86da16e188190b89af699f1ed0bfe |
completed | April 10, 2026, 3:25 a.m. |
| NER | Named-entity recognition | batch_69e0540380448190a025338f0e62e6d1 |
completed | April 16, 2026, 3:14 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69ff90a4661481909d04bcb9f5043a6b |
completed | May 9, 2026, 7:53 p.m. |
| NEDg | Description generation | batch_69ff935867d08190955c2d665a761a5e |
completed | May 9, 2026, 8:04 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69ff93fc19048190981d8e44ee5222f7 |
completed | May 9, 2026, 8:07 p.m. |
Created at: April 10, 2026, 4:48 a.m.