Triple

T20509144
Position Surface form Disambiguated ID Type / Status
Subject intuitionism E503512 entity
Predicate influenced P9 FINISHED
Object topos theory — NE NERFINISHED

How this triple was built (3 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: topos theory | Statement: [intuitionism, influenced, topos theory]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: topos theory
Context triple: [intuitionism, influenced, topos theory]
  • A. Grothendieck toposes
    Grothendieck toposes are highly structured categories that generalize topological spaces and serve as a unifying framework for geometry, logic, and cohomology in modern mathematics.
  • B. Grothendieck topology
    A Grothendieck topology is an abstract framework in category theory that generalizes the notion of open covers in topology to define sheaves on arbitrary categories.
  • C. Sketches of an Elephant: A Topos Theory Compendium
    Sketches of an Elephant: A Topos Theory Compendium is a comprehensive, multi-volume reference work on topos theory that systematically develops and surveys the subject at an advanced research level.
  • D. Higher Topos Theory
    Higher Topos Theory is a foundational monograph in modern algebraic topology and higher category theory that develops the theory of ∞-topoi and their applications to homotopy theory and algebraic geometry.
  • E. category theory
    Category theory is a branch of mathematics that studies abstract structures and relationships between them using the language of objects and morphisms, providing a unifying framework across many areas of math and theoretical computer science.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: topos theory
Target entity description: Topos theory is a branch of category theory that generalizes set theory and provides an abstract framework for mathematical logic and geometry, particularly suited to constructive and intuitionistic reasoning.
  • A. Grothendieck toposes chosen
    Grothendieck toposes are highly structured categories that generalize topological spaces and serve as a unifying framework for geometry, logic, and cohomology in modern mathematics.
  • B. Grothendieck topology
    A Grothendieck topology is an abstract framework in category theory that generalizes the notion of open covers in topology to define sheaves on arbitrary categories.
  • C. Sketches of an Elephant: A Topos Theory Compendium
    Sketches of an Elephant: A Topos Theory Compendium is a comprehensive, multi-volume reference work on topos theory that systematically develops and surveys the subject at an advanced research level.
  • D. Higher Topos Theory
    Higher Topos Theory is a foundational monograph in modern algebraic topology and higher category theory that develops the theory of ∞-topoi and their applications to homotopy theory and algebraic geometry.
  • E. category theory
    Category theory is a branch of mathematics that studies abstract structures and relationships between them using the language of objects and morphisms, providing a unifying framework across many areas of math and theoretical computer science.
  • F. None of above.

Provenance (2 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_69e0b4b1e52c8190894281cf7e3283ab completed April 16, 2026, 10:06 a.m.
NER Named-entity recognition batch_69e69dc9de788190882ce471966ef2b4 completed April 20, 2026, 9:42 p.m.
Created at: April 16, 2026, 11:36 a.m.