Triple

T8535735
Position Surface form Disambiguated ID Type / Status
Subject Book II of Geometry (Descartes) E202072 entity
Predicate contributionTo P477 FINISHED
Object foundations of analytic geometry E730639 NE FINISHED

How this triple was built (2 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: foundations of analytic geometry | Statement: [Book II of Geometry (Descartes), contributionTo, foundations of analytic geometry]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: foundations of analytic geometry
Context triple: [Book II of Geometry (Descartes), contributionTo, foundations of analytic geometry]
  • A. analytic geometry chosen
    Analytic geometry is the branch of mathematics that studies geometric figures using coordinate systems and algebraic equations.
  • B. The Foundations of Geometry
    The Foundations of Geometry is a seminal mathematical text by Oswald Veblen that rigorously develops the axiomatic basis of geometry in a modern, logical framework.
  • C. System der analytischen Geometrie
    System der analytischen Geometrie is a foundational 19th-century mathematical work by Julius Plücker that helped develop and formalize analytic geometry.
  • D. Grundlagen der Geometrie
    Grundlagen der Geometrie is David Hilbert’s foundational 1899 treatise that rigorously axiomatizes Euclidean geometry and helped shape modern mathematical logic and the axiomatic method.
  • E. Euclidean geometry
    Euclidean geometry is the classical mathematical system that studies flat space and shapes using axioms about points, lines, and angles, forming the foundation of much of traditional mathematics and physics.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 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_69ca832355b08190b8b6a4ab4a4a3554 completed March 30, 2026, 2:05 p.m.
NER Named-entity recognition batch_69cbe6a295c88190a432a060ee73f04e completed March 31, 2026, 3:22 p.m.
NED1 Entity disambiguation (via context triple) batch_69ce6d8332cc819083c86e0dc58bcc37 completed April 2, 2026, 1:22 p.m.
Created at: March 30, 2026, 6:17 p.m.