Triple
T1859246
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hilbert’s program |
E41775
|
entity |
| Predicate | historicalEvent |
P259
|
FINISHED |
| Object |
Hilbert–Brouwer controversy
The Hilbert–Brouwer controversy was an early 20th-century foundational dispute in mathematics between David Hilbert’s formalism and L.E.J. Brouwer’s intuitionism over the nature of mathematical truth and proof.
|
E208852
|
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: Hilbert–Brouwer controversy | Statement: [Hilbert’s program, historicalEvent, Hilbert–Brouwer controversy]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Hilbert–Brouwer controversy Context triple: [Hilbert’s program, historicalEvent, Hilbert–Brouwer controversy]
-
A.
Hilbert’s program
Hilbert’s program was an influential early-20th-century initiative in the foundations of mathematics that sought to formalize all of mathematics and prove its consistency using finitistic methods.
-
B.
Bohr–Einstein debates
The Bohr–Einstein debates were a series of famous early 20th-century discussions between Niels Bohr and Albert Einstein about the foundations and interpretation of quantum mechanics, particularly concerning determinism, realism, and the completeness of the theory.
-
C.
Kronecker’s finitism
Kronecker’s finitism is a philosophical and mathematical stance asserting that only finite, constructible mathematical objects and proofs are legitimate, rejecting the existence of actual infinities.
-
D.
Hilbert problems
The Hilbert problems are a famous list of 23 unsolved mathematical problems presented by David Hilbert in 1900 that profoundly influenced the development of 20th-century mathematics.
-
E.
Réflexions sur la métaphysique du calcul infinitésimal
Réflexions sur la métaphysique du calcul infinitésimal is a foundational 18th-century treatise by Lazare Carnot that examines the philosophical and logical underpinnings of infinitesimal calculus.
- 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: Hilbert–Brouwer controversy Triple: [Hilbert’s program, historicalEvent, Hilbert–Brouwer controversy]
Generated description
The Hilbert–Brouwer controversy was an early 20th-century foundational dispute in mathematics between David Hilbert’s formalism and L.E.J. Brouwer’s intuitionism over the nature of mathematical truth and proof.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Hilbert–Brouwer controversy Target entity description: The Hilbert–Brouwer controversy was an early 20th-century foundational dispute in mathematics between David Hilbert’s formalism and L.E.J. Brouwer’s intuitionism over the nature of mathematical truth and proof.
-
A.
Hilbert’s program
Hilbert’s program was an influential early-20th-century initiative in the foundations of mathematics that sought to formalize all of mathematics and prove its consistency using finitistic methods.
-
B.
Bohr–Einstein debates
The Bohr–Einstein debates were a series of famous early 20th-century discussions between Niels Bohr and Albert Einstein about the foundations and interpretation of quantum mechanics, particularly concerning determinism, realism, and the completeness of the theory.
-
C.
Kronecker’s finitism
Kronecker’s finitism is a philosophical and mathematical stance asserting that only finite, constructible mathematical objects and proofs are legitimate, rejecting the existence of actual infinities.
-
D.
Hilbert problems
The Hilbert problems are a famous list of 23 unsolved mathematical problems presented by David Hilbert in 1900 that profoundly influenced the development of 20th-century mathematics.
-
E.
Réflexions sur la métaphysique du calcul infinitésimal
Réflexions sur la métaphysique du calcul infinitésimal is a foundational 18th-century treatise by Lazare Carnot that examines the philosophical and logical underpinnings of infinitesimal calculus.
- 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_69a8864a83848190a4ec02721306c511 |
completed | March 4, 2026, 7:21 p.m. |
| NER | Named-entity recognition | batch_69abb0829f1481908d2b389d20827417 |
completed | March 7, 2026, 4:58 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69add1ce296c819093336cbaa257dfd2 |
completed | March 8, 2026, 7:45 p.m. |
| NEDg | Description generation | batch_69add229de448190826bbb668c7611a0 |
completed | March 8, 2026, 7:46 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69add29e3c50819098ff87d254c25c45 |
completed | March 8, 2026, 7:48 p.m. |
Created at: March 4, 2026, 7:33 p.m.