Triple

T16605552
Position Surface form Disambiguated ID Type / Status
Subject Thales’ theorem E403439 entity
Predicate field P3 FINISHED
Object Euclidean geometry E451827 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: Euclidean geometry | Statement: [Thales’ theorem, field, Euclidean geometry]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Euclidean geometry
Context triple: [Thales’ theorem, field, Euclidean geometry]
  • A. Euclidean geometry chosen
    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.
  • B. Geometry
    Geometry is René Descartes’ foundational work that introduced analytic geometry, uniting algebra and Euclidean geometry through the use of coordinates.
  • C. 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.
  • 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. Introduction to Geometry
    "Introduction to Geometry" is a classic textbook by H. S. M. Coxeter that systematically develops both Euclidean and non-Euclidean geometry with an emphasis on rigorous foundations and elegant geometric insights.
  • 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_69d883880d0c81908b5fcd454e767b60 completed April 10, 2026, 4:58 a.m.
NER Named-entity recognition batch_69e36090cf388190b401c55230912104 completed April 18, 2026, 10:44 a.m.
NED1 Entity disambiguation (via context triple) batch_6a0075a8a6248190a9e2bb469d821c66 completed May 10, 2026, 12:10 p.m.
Created at: April 10, 2026, 5:17 a.m.