Triple
T694030
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Zermelo–Fraenkel set theory |
E13857
|
entity |
| Predicate | namedAfter |
P63
|
FINISHED |
| Object |
Abraham Fraenkel
Abraham Fraenkel was a German-Israeli mathematician best known for his foundational work in set theory, particularly his contributions to the axiomatic system now called Zermelo–Fraenkel set theory.
|
E90792
|
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: Abraham Fraenkel | Statement: [Zermelo–Fraenkel set theory, namedAfter, Abraham Fraenkel]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Abraham Fraenkel Context triple: [Zermelo–Fraenkel set theory, namedAfter, Abraham Fraenkel]
-
A.
Ernst Zermelo
Ernst Zermelo was a German mathematician best known for formulating Zermelo set theory and proving the well-ordering theorem, foundational results in modern set theory and mathematical logic.
-
B.
Bartel Leendert van der Waerden
Bartel Leendert van der Waerden was a Dutch mathematician best known for his foundational work in abstract algebra and contributions to algebraic geometry and number theory.
-
C.
Georg Cantor
Georg Cantor was a pioneering German mathematician best known for founding set theory and introducing the concept of different sizes of infinity.
-
D.
Max Dehn
Max Dehn was a German mathematician known for his foundational work in topology and group theory, including the introduction of Dehn surgery and the study of decision problems in group theory.
-
E.
Jacques Herbrand
Jacques Herbrand was a French mathematician and logician known for his foundational contributions to proof theory and mathematical logic, particularly Herbrand's theorem.
- 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: Abraham Fraenkel Triple: [Zermelo–Fraenkel set theory, namedAfter, Abraham Fraenkel]
Generated description
Abraham Fraenkel was a German-Israeli mathematician best known for his foundational work in set theory, particularly his contributions to the axiomatic system now called Zermelo–Fraenkel set theory.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Abraham Fraenkel Target entity description: Abraham Fraenkel was a German-Israeli mathematician best known for his foundational work in set theory, particularly his contributions to the axiomatic system now called Zermelo–Fraenkel set theory.
-
A.
Ernst Zermelo
Ernst Zermelo was a German mathematician best known for formulating Zermelo set theory and proving the well-ordering theorem, foundational results in modern set theory and mathematical logic.
-
B.
Bartel Leendert van der Waerden
Bartel Leendert van der Waerden was a Dutch mathematician best known for his foundational work in abstract algebra and contributions to algebraic geometry and number theory.
-
C.
Georg Cantor
Georg Cantor was a pioneering German mathematician best known for founding set theory and introducing the concept of different sizes of infinity.
-
D.
Max Dehn
Max Dehn was a German mathematician known for his foundational work in topology and group theory, including the introduction of Dehn surgery and the study of decision problems in group theory.
-
E.
Jacques Herbrand
Jacques Herbrand was a French mathematician and logician known for his foundational contributions to proof theory and mathematical logic, particularly Herbrand's theorem.
- 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_69a493406c408190957eeec9048a8fb6 |
completed | March 1, 2026, 7:28 p.m. |
| NER | Named-entity recognition | batch_69a4a0b1e1d08190bdd42f57be5c2a6b |
completed | March 1, 2026, 8:25 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69a6666acf1081908325ae2ba74b6bae |
completed | March 3, 2026, 4:41 a.m. |
| NEDg | Description generation | batch_69a6674809a48190b30a03a6366bdebd |
completed | March 3, 2026, 4:44 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69a667cf4f9881908d63b5e38088c0f9 |
completed | March 3, 2026, 4:47 a.m. |
Created at: March 1, 2026, 7:36 p.m.