Triple
T12761559
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Brook Taylor |
E305006
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Methodus Incrementorum Directa et Inversa
Methodus Incrementorum Directa et Inversa is an early 18th-century mathematical treatise by Brook Taylor that introduced the calculus of finite differences and what is now known as Taylor series.
|
E1001731
|
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: Methodus Incrementorum Directa et Inversa | Statement: [Brook Taylor, notableWork, Methodus Incrementorum Directa et Inversa]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Methodus Incrementorum Directa et Inversa Context triple: [Brook Taylor, notableWork, Methodus Incrementorum Directa et Inversa]
-
A.
Arithmetica Infinitorum
Arithmetica Infinitorum is a 1656 mathematical treatise by John Wallis that systematically develops methods of infinitesimal calculus and infinite series, laying groundwork for later advances in analysis.
-
B.
Treatise of Fluxions
Treatise of Fluxions is an 18th-century mathematical work by Colin Maclaurin that systematically develops and defends Isaac Newton’s calculus of fluxions.
-
C.
Mirifici Logarithmorum Canonis Descriptio
Mirifici Logarithmorum Canonis Descriptio is John Napier’s seminal early 17th-century treatise that introduced and systematically described logarithms, revolutionizing mathematical computation.
-
D.
De institutione arithmetica
De institutione arithmetica is a foundational late antique Latin treatise on arithmetic that transmitted and systematized ancient Greek number theory for the medieval West.
-
E.
Elementa curvarum linearum
Elementa curvarum linearum is a 17th-century mathematical treatise by Johan de Witt that systematically studies the geometry and properties of linear curves.
- 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: Methodus Incrementorum Directa et Inversa Triple: [Brook Taylor, notableWork, Methodus Incrementorum Directa et Inversa]
Generated description
Methodus Incrementorum Directa et Inversa is an early 18th-century mathematical treatise by Brook Taylor that introduced the calculus of finite differences and what is now known as Taylor series.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Methodus Incrementorum Directa et Inversa Target entity description: Methodus Incrementorum Directa et Inversa is an early 18th-century mathematical treatise by Brook Taylor that introduced the calculus of finite differences and what is now known as Taylor series.
-
A.
Arithmetica Infinitorum
Arithmetica Infinitorum is a 1656 mathematical treatise by John Wallis that systematically develops methods of infinitesimal calculus and infinite series, laying groundwork for later advances in analysis.
-
B.
Treatise of Fluxions
Treatise of Fluxions is an 18th-century mathematical work by Colin Maclaurin that systematically develops and defends Isaac Newton’s calculus of fluxions.
-
C.
Mirifici Logarithmorum Canonis Descriptio
Mirifici Logarithmorum Canonis Descriptio is John Napier’s seminal early 17th-century treatise that introduced and systematically described logarithms, revolutionizing mathematical computation.
-
D.
De institutione arithmetica
De institutione arithmetica is a foundational late antique Latin treatise on arithmetic that transmitted and systematized ancient Greek number theory for the medieval West.
-
E.
Elementa curvarum linearum
Elementa curvarum linearum is a 17th-century mathematical treatise by Johan de Witt that systematically studies the geometry and properties of linear curves.
- 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_69d7bdf1fcd081909ffb0e0d6fa3a07d |
completed | April 9, 2026, 2:55 p.m. |
| NER | Named-entity recognition | batch_69d96d8e44188190840cd23d380bf23d |
completed | April 10, 2026, 9:37 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69f684f298f881908ad77f2d0ab588a8 |
completed | May 2, 2026, 11:12 p.m. |
| NEDg | Description generation | batch_69f685dac5cc8190b4bc2d81186c9266 |
completed | May 2, 2026, 11:16 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69f6869156048190b548ecd04561deb8 |
completed | May 2, 2026, 11:19 p.m. |
Created at: April 9, 2026, 5:28 p.m.