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.