Triple
T7011058
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Richard Dedekind |
E162579
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Stetigkeit und irrationale Zahlen
"Stetigkeit und irrationale Zahlen" is Richard Dedekind’s seminal 1872 work in which he rigorously defines real numbers and continuity via Dedekind cuts, laying a foundation for modern analysis.
|
E634838
|
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: Stetigkeit und irrationale Zahlen | Statement: [Richard Dedekind, notableWork, Stetigkeit und irrationale Zahlen]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Stetigkeit und irrationale Zahlen Context triple: [Richard Dedekind, notableWork, Stetigkeit und irrationale Zahlen]
-
A.
Du Bois-Reymond theory of orders of infinity
The Du Bois-Reymond theory of orders of infinity is a foundational framework in analysis that rigorously compares the growth rates of functions by classifying them into hierarchies of infinitesimal and infinite magnitudes.
-
B.
Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe
Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe is Bernhard Riemann’s seminal 1854 paper that laid foundational ideas for Fourier series and modern real analysis, including the concept now known as the Riemann integral.
-
C.
Grundgesetze der Arithmetik, Volume II
Grundgesetze der Arithmetik, Volume II is the second volume of Gottlob Frege’s foundational work in logic and the philosophy of mathematics, in which he further develops and applies his formal system for arithmetic.
-
D.
Grundzüge der Mengenlehre
Grundzüge der Mengenlehre is a foundational early 20th-century textbook on set theory that helped formalize and shape modern axiomatic set theory and topology.
-
E.
Theorie der algebraischen Zahlen
"Theorie der algebraischen Zahlen" is Kurt Hensel’s foundational work in algebraic number theory, notable for introducing and developing the concept of p-adic numbers.
- 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: Stetigkeit und irrationale Zahlen Triple: [Richard Dedekind, notableWork, Stetigkeit und irrationale Zahlen]
Generated description
"Stetigkeit und irrationale Zahlen" is Richard Dedekind’s seminal 1872 work in which he rigorously defines real numbers and continuity via Dedekind cuts, laying a foundation for modern analysis.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Stetigkeit und irrationale Zahlen Target entity description: "Stetigkeit und irrationale Zahlen" is Richard Dedekind’s seminal 1872 work in which he rigorously defines real numbers and continuity via Dedekind cuts, laying a foundation for modern analysis.
-
A.
Du Bois-Reymond theory of orders of infinity
The Du Bois-Reymond theory of orders of infinity is a foundational framework in analysis that rigorously compares the growth rates of functions by classifying them into hierarchies of infinitesimal and infinite magnitudes.
-
B.
Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe
Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe is Bernhard Riemann’s seminal 1854 paper that laid foundational ideas for Fourier series and modern real analysis, including the concept now known as the Riemann integral.
-
C.
Grundgesetze der Arithmetik, Volume II
Grundgesetze der Arithmetik, Volume II is the second volume of Gottlob Frege’s foundational work in logic and the philosophy of mathematics, in which he further develops and applies his formal system for arithmetic.
-
D.
Grundzüge der Mengenlehre
Grundzüge der Mengenlehre is a foundational early 20th-century textbook on set theory that helped formalize and shape modern axiomatic set theory and topology.
-
E.
Theorie der algebraischen Zahlen
"Theorie der algebraischen Zahlen" is Kurt Hensel’s foundational work in algebraic number theory, notable for introducing and developing the concept of p-adic numbers.
- 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_69c6885a127c8190867b059bdccf13ff |
completed | March 27, 2026, 1:38 p.m. |
| NER | Named-entity recognition | batch_69c6dc3917c481909a288c3e56630c48 |
completed | March 27, 2026, 7:36 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c76a4bd424819097e1543ec59979ff |
completed | March 28, 2026, 5:42 a.m. |
| NEDg | Description generation | batch_69c76b1ef6f481908f4c4f610328f633 |
completed | March 28, 2026, 5:46 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69c76c01679c8190b61f642c23c25ed5 |
completed | March 28, 2026, 5:49 a.m. |
Created at: March 27, 2026, 2:34 p.m.