Triple

T11366084
Position Surface form Disambiguated ID Type / Status
Subject Elements of Intuitionism E269207 entity
Predicate about P380 FINISHED
Object Brouwer–Heyting–Kolmogorov interpretation E459568 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: Brouwer–Heyting–Kolmogorov interpretation | Statement: [Elements of Intuitionism, about, Brouwer–Heyting–Kolmogorov interpretation]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Brouwer–Heyting–Kolmogorov interpretation
Context triple: [Elements of Intuitionism, about, Brouwer–Heyting–Kolmogorov interpretation]
  • A. Brouwer–Heyting–Kolmogorov interpretation chosen
    The Brouwer–Heyting–Kolmogorov interpretation is a foundational explanation of intuitionistic logic that interprets logical connectives and proofs in terms of explicit constructions and algorithms rather than classical truth values.
  • B. Curry–Howard correspondence
    The Curry–Howard correspondence is a foundational principle in logic and computer science that establishes a deep analogy between proofs and programs, and between logical propositions and types in programming languages.
  • C. Recursive Functions and Intuitionistic Mathematics
    Recursive Functions and Intuitionistic Mathematics is a seminal work by Stephen Kleene that develops the theory of recursive (computable) functions within the framework of intuitionistic logic and mathematics.
  • D. Elements of Intuitionism
    Elements of Intuitionism is a foundational philosophical and logical treatise by Michael Dummett that systematically develops and defends intuitionistic logic and mathematics.
  • E. 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.
  • 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_69d6aacca1048190b39dbbc2174616fa completed April 8, 2026, 7:21 p.m.
NER Named-entity recognition batch_69d7ea88558c8190aa18881af51a7b96 completed April 9, 2026, 6:06 p.m.
NED1 Entity disambiguation (via context triple) batch_69e55667d4908190b6290135eba41e54 completed April 19, 2026, 10:25 p.m.
Created at: April 8, 2026, 9:33 p.m.