Triple

T10055641
Position Surface form Disambiguated ID Type / Status
Subject Grundzüge der theoretischen Logik E208853 entity
Predicate era P200 FINISHED
Object Hilbert program in the foundations of mathematics E41775 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: Hilbert program in the foundations of mathematics | Statement: [Grundzüge der theoretischen Logik, era, Hilbert program in the foundations of mathematics]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Hilbert program in the foundations of mathematics
Context triple: [Grundzüge der theoretischen Logik, era, Hilbert program in the foundations of mathematics]
  • A. Hilbert’s program chosen
    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.
  • B. 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.
  • C. Gentzen’s consistency proof for arithmetic
    Gentzen’s consistency proof for arithmetic is a landmark 1930s result in proof theory that established the consistency of Peano arithmetic using transfinite induction up to the ordinal ε₀.
  • D. Recherches sur la théorie de la démonstration
    Recherches sur la théorie de la démonstration is Jacques Herbrand’s foundational work in mathematical logic, introducing key results in proof theory and what is now known as Herbrand’s theorem.
  • E. Introduction to Metamathematics
    Introduction to Metamathematics is a classic 1952 textbook by Stephen Kleene that systematically develops the foundations of mathematical logic and recursion theory.
  • 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_69ca836094408190a36a1ea7e9a86fcd completed March 30, 2026, 2:06 p.m.
NER Named-entity recognition batch_69cdcfacacd08190abe66f8bb17b92c7 completed April 2, 2026, 2:08 a.m.
NED1 Entity disambiguation (via context triple) batch_69d2cba6971c819090689917cd9b5b7c completed April 5, 2026, 8:52 p.m.
Created at: March 30, 2026, 8:57 p.m.