Triple

T8399403
Position Surface form Disambiguated ID Type / Status
Subject Book I of Geometry (Descartes) E198133 entity
Predicate associatedWith P37 FINISHED
Object Cartesian coordinates E39344 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: Cartesian coordinates | Statement: [Book I of Geometry (Descartes), associatedWith, Cartesian coordinates]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Cartesian coordinates
Context triple: [Book I of Geometry (Descartes), associatedWith, Cartesian coordinates]
  • A. Cartesian coordinate system chosen
    The Cartesian coordinate system is a mathematical framework that uses perpendicular axes to represent points in a plane or space with ordered numerical coordinates.
  • B. Poincaré coordinates
    Poincaré coordinates are a commonly used coordinate system on anti-de Sitter space that makes its conformal boundary manifestly Minkowskian and is especially convenient in AdS/CFT calculations.
  • C. Plücker coordinates
    Plücker coordinates are a system of homogeneous coordinates used in projective geometry to represent lines (and other subspaces) in higher-dimensional spaces.
  • D. Cartesian circle
    The Cartesian circle is a famous alleged circular reasoning in René Descartes’ Meditations, where his proof of God’s existence and his justification of clear and distinct perceptions appear to depend on each other.
  • E. Euclidean space
    Euclidean space is the standard flat, n-dimensional geometric setting of classical geometry and vector calculus, characterized by straight lines, right angles, and the usual distance and dot product.
  • 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_69ca82f816bc8190ab321c07d72208c1 completed March 30, 2026, 2:04 p.m.
NER Named-entity recognition batch_69cb824ac29481909f02cdb2b7cd18af completed March 31, 2026, 8:14 a.m.
NED1 Entity disambiguation (via context triple) batch_69cde86f6e148190812a8a9737310501 completed April 2, 2026, 3:54 a.m.
Created at: March 30, 2026, 6:04 p.m.