Triple

T8850206
Position Surface form Disambiguated ID Type / Status
Subject Hilbert’s second problem E210618 entity
Predicate relatedTo P37 FINISHED
Object Gödel’s incompleteness theorems E71396 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: Gödel’s incompleteness theorems | Statement: [Hilbert’s second problem, relatedTo, Gödel’s incompleteness theorems]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Gödel’s incompleteness theorems
Context triple: [Hilbert’s second problem, relatedTo, Gödel’s incompleteness theorems]
  • A. Gödel's incompleteness theorems chosen
    Gödel's incompleteness theorems are two fundamental results in mathematical logic showing that any sufficiently powerful, consistent formal system cannot prove all true statements about arithmetic, and cannot prove its own consistency.
  • B. Tarski's undefinability theorem
    Tarski's undefinability theorem is a fundamental result in mathematical logic showing that, in sufficiently strong formal systems, the notion of truth for the language of the system cannot be defined within that same language.
  • C. Hilbert’s program
    Hilbert’s program was an influential early-20th-century initiative in the foundations of mathematics that sought to formalize all of mathematics and prove its consistency using finitistic methods.
  • D. Incompleteness: The Proof and Paradox of Kurt Gödel
    Incompleteness: The Proof and Paradox of Kurt Gödel is a biographical and philosophical study that intertwines Kurt Gödel’s life with an accessible exploration of his incompleteness theorems and their broader intellectual implications.
  • E. Remarks on the Foundations of Mathematics
    Remarks on the Foundations of Mathematics is a posthumously published collection of Ludwig Wittgenstein’s later writings that critically examines the nature of mathematical truth, proof, and practice from a philosophical and language-centered perspective.
  • 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_69ca838a424c8190b1ecac115c2927e7 completed March 30, 2026, 2:07 p.m.
NER Named-entity recognition batch_69cc60abb0748190af41d4e1f419e39c completed April 1, 2026, 12:02 a.m.
NED1 Entity disambiguation (via context triple) batch_69cf89cb853c8190a7664f2e7de0de87 completed April 3, 2026, 9:35 a.m.
Created at: March 30, 2026, 6:49 p.m.