Triple

T21783929
Position Surface form Disambiguated ID Type / Status
Subject Hellenistic mathematics E537786 entity
Predicate influenced P9 FINISHED
Object Renaissance mathematics
Renaissance mathematics was the revival and development of mathematical thought in Europe between the 14th and 17th centuries, marked by renewed study of classical works, advances in algebra and geometry, and the emergence of symbolic notation.
E1501888 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: Renaissance mathematics | Statement: [Hellenistic mathematics, influenced, Renaissance mathematics]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Renaissance mathematics
Context triple: [Hellenistic mathematics, influenced, Renaissance mathematics]
  • A. Hellenistic mathematics
    Hellenistic mathematics was the advanced mathematical tradition that flourished in the Greek-speaking world after Alexander the Great, characterized by rigorous geometric proofs and significant developments in fields such as geometry, number theory, and astronomy.
  • B. A Short Account of the History of Mathematics
    A Short Account of the History of Mathematics is a classic survey text that traces the development of mathematical ideas and notable mathematicians from ancient times to the modern era.
  • C. Jaina mathematical tradition
    The Jaina mathematical tradition is an ancient Indian school of mathematics associated with Jain scholars, noted for its sophisticated work on infinity, large numbers, and combinatorics.
  • D. A History of Mathematics: From Mesopotamia to Modernity
    A History of Mathematics: From Mesopotamia to Modernity is a comprehensive survey book that traces the development of mathematical ideas across different cultures and historical periods, from ancient Mesopotamia to the modern era.
  • E. A History of Greek Mathematics
    A History of Greek Mathematics is a comprehensive scholarly work by Thomas Heath that traces the development of mathematical thought in ancient Greece and its lasting influence on the discipline.
  • 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: Renaissance mathematics
Triple: [Hellenistic mathematics, influenced, Renaissance mathematics]
Generated description
Renaissance mathematics was the revival and development of mathematical thought in Europe between the 14th and 17th centuries, marked by renewed study of classical works, advances in algebra and geometry, and the emergence of symbolic notation.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Renaissance mathematics
Target entity description: Renaissance mathematics was the revival and development of mathematical thought in Europe between the 14th and 17th centuries, marked by renewed study of classical works, advances in algebra and geometry, and the emergence of symbolic notation.
  • A. Hellenistic mathematics
    Hellenistic mathematics was the advanced mathematical tradition that flourished in the Greek-speaking world after Alexander the Great, characterized by rigorous geometric proofs and significant developments in fields such as geometry, number theory, and astronomy.
  • B. A Short Account of the History of Mathematics
    A Short Account of the History of Mathematics is a classic survey text that traces the development of mathematical ideas and notable mathematicians from ancient times to the modern era.
  • C. Jaina mathematical tradition
    The Jaina mathematical tradition is an ancient Indian school of mathematics associated with Jain scholars, noted for its sophisticated work on infinity, large numbers, and combinatorics.
  • D. A History of Mathematics: From Mesopotamia to Modernity
    A History of Mathematics: From Mesopotamia to Modernity is a comprehensive survey book that traces the development of mathematical ideas across different cultures and historical periods, from ancient Mesopotamia to the modern era.
  • E. A History of Greek Mathematics
    A History of Greek Mathematics is a comprehensive scholarly work by Thomas Heath that traces the development of mathematical thought in ancient Greece and its lasting influence on the discipline.
  • 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_69e0c47198f881908cb0d237266c10e9 completed April 16, 2026, 11:13 a.m.
NER Named-entity recognition batch_69f046303d54819096b3fab4ab5678e6 completed April 28, 2026, 5:31 a.m.
NED1 Entity disambiguation (via context triple) batch_6a0a3e6f77cc81909ff2ca8b6c8e57e0 completed May 17, 2026, 10:17 p.m.
NEDg Description generation batch_6a0a3f5813a081909f253f04ca218559 completed May 17, 2026, 10:21 p.m.
NED2 Entity disambiguation (via description) batch_6a0a400831d881909631e1accd5618f1 completed May 17, 2026, 10:24 p.m.
Created at: April 16, 2026, 6:52 p.m.