Triple

T19315466
Position Surface form Disambiguated ID Type / Status
Subject Modigliani–Miller theorem E483085 entity
Predicate hasProposition P17650 FINISHED
Object Proposition II 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: Proposition II | Statement: [Modigliani–Miller theorem, hasProposition, Proposition II]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Proposition II
Context triple: [Modigliani–Miller theorem, hasProposition, Proposition II]
  • A. Ideas II
    Ideas II is a major phenomenological work by Edmund Husserl that develops his analysis of the lifeworld, embodiment, and intersubjectivity as foundations for the sciences.
  • B. Pillar II
    Pillar II is the rural development component of the European Union’s Common Agricultural Policy, focusing on environmental sustainability, countryside development, and support for rural economies.
  • C. Este II
    Este II is a key middle phase of the Iron Age Este culture in northern Italy, marked by the development of distinctive funerary practices and material culture.
  • D. Arch II
    Arch II is a large-scale wooden sculpture by Czech-American artist Emilie Benes Brzezinski, exemplifying her monumental, nature-inspired sculptural style.
  • E. Factum II
    Factum II is a 1957 mixed-media painting by Robert Rauschenberg, celebrated as one of his pioneering “combine” works that challenges ideas of originality and repetition in art.
  • 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: Proposition II
Target entity description: Proposition II is a key result within the Modigliani–Miller theorem that explains how a firm's cost of equity increases linearly with its leverage due to the rising financial risk borne by equity holders.
  • A. Ideas II
    Ideas II is a major phenomenological work by Edmund Husserl that develops his analysis of the lifeworld, embodiment, and intersubjectivity as foundations for the sciences.
  • B. Pillar II
    Pillar II is the rural development component of the European Union’s Common Agricultural Policy, focusing on environmental sustainability, countryside development, and support for rural economies.
  • C. Este II
    Este II is a key middle phase of the Iron Age Este culture in northern Italy, marked by the development of distinctive funerary practices and material culture.
  • D. Arch II
    Arch II is a large-scale wooden sculpture by Czech-American artist Emilie Benes Brzezinski, exemplifying her monumental, nature-inspired sculptural style.
  • E. Factum II
    Factum II is a 1957 mixed-media painting by Robert Rauschenberg, celebrated as one of his pioneering “combine” works that challenges ideas of originality and repetition in art.
  • F. None of above. chosen

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_69d8e8d04d5c8190baa816986f2b1d1e completed April 10, 2026, 12:10 p.m.
NER Named-entity recognition batch_69e60d833034819092a8414d5e0fc26e completed April 20, 2026, 11:26 a.m.
Created at: April 10, 2026, 1:32 p.m.