Triple
T16445528
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Abraham Fraenkel |
E399413
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Foundations of Set Theory
Foundations of Set Theory is a seminal mathematical text by Abraham Fraenkel that systematically develops modern axiomatic set theory and its foundations.
|
E173183
|
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: Foundations of Set Theory | Statement: [Abraham Fraenkel, notableWork, Foundations of Set Theory]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Foundations of Set Theory Context triple: [Abraham Fraenkel, notableWork, Foundations of Set Theory]
-
A.
Set Theory and Its Logic
Set Theory and Its Logic is a foundational work by W.V.O. Quine that develops set theory within a rigorous logical framework, exploring its axioms, paradoxes, and philosophical implications.
-
B.
Foundations of Set Theory (with Andrey Kolmogorov)
"Foundations of Set Theory" is a classic 20th-century mathematical text co-authored by Pavel Alexandrov and Andrey Kolmogorov that systematically develops the basic concepts and axioms of set theory.
-
C.
Introduction to Set Theory
Introduction to Set Theory is a foundational mathematics textbook that presents the basic concepts, methods, and results of modern set theory for advanced undergraduates and beginning graduate students.
-
D.
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.
-
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. 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: Foundations of Set Theory Triple: [Abraham Fraenkel, notableWork, Foundations of Set Theory]
Generated description
Foundations of Set Theory is a seminal mathematical text by Abraham Fraenkel that systematically develops modern axiomatic set theory and its foundations.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Foundations of Set Theory Target entity description: Foundations of Set Theory is a seminal mathematical text by Abraham Fraenkel that systematically develops modern axiomatic set theory and its foundations.
-
A.
Set Theory and Its Logic
Set Theory and Its Logic is a foundational work by W.V.O. Quine that develops set theory within a rigorous logical framework, exploring its axioms, paradoxes, and philosophical implications.
-
B.
Foundations of Set Theory (with Andrey Kolmogorov)
chosen
"Foundations of Set Theory" is a classic 20th-century mathematical text co-authored by Pavel Alexandrov and Andrey Kolmogorov that systematically develops the basic concepts and axioms of set theory.
-
C.
Introduction to Set Theory
Introduction to Set Theory is a foundational mathematics textbook that presents the basic concepts, methods, and results of modern set theory for advanced undergraduates and beginning graduate students.
-
D.
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.
-
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.
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_69d87f2c6778819080fcfae53be8f12a |
completed | April 10, 2026, 4:40 a.m. |
| NER | Named-entity recognition | batch_69e32cdb5d908190bb6c5cb3c794cf4b |
completed | April 18, 2026, 7:03 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a0045922d748190bb3200c96f244149 |
completed | May 10, 2026, 8:45 a.m. |
| NEDg | Description generation | batch_6a00473d31308190ab836c09da2a82da |
completed | May 10, 2026, 8:52 a.m. |
| NED2 | Entity disambiguation (via description) | batch_6a0047b4b6688190afef52b39788ceae |
completed | May 10, 2026, 8:54 a.m. |
Created at: April 10, 2026, 5:10 a.m.