Triple
T8349429
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Fisher separation theorem |
E196121
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object | Modigliani–Miller theorem |
E483085
|
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: Modigliani–Miller theorem | Statement: [Fisher separation theorem, relatedTo, Modigliani–Miller theorem]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Modigliani–Miller theorem Context triple: [Fisher separation theorem, relatedTo, Modigliani–Miller theorem]
-
A.
Modigliani–Miller theorem
chosen
The Modigliani–Miller theorem is a foundational result in corporate finance stating that, under certain idealized conditions, a firm's value is unaffected by its capital structure or how it is financed.
-
B.
Fisher separation theorem
The Fisher separation theorem is a foundational result in financial economics stating that a firm's investment decision can be made independently of its owners' consumption preferences, focusing solely on maximizing the present value of the firm.
-
C.
The Theory of Corporate Finance
The Theory of Corporate Finance is a comprehensive textbook by economist Jean Tirole that systematically develops modern corporate finance theory using tools from contract theory and information economics.
-
D.
Modigliani–Brumberg model
The Modigliani–Brumberg model is an economic life-cycle theory explaining how individuals plan consumption and saving over their lifetimes to smooth living standards despite changing income.
-
E.
"The Nature of the Firm"
"The Nature of the Firm" is a foundational 1937 economic essay by Ronald Coase that explains why firms exist and how transaction costs shape their size and structure.
- 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_69ca82edd63c8190b876b8465464c5fa |
completed | March 30, 2026, 2:04 p.m. |
| NER | Named-entity recognition | batch_69cb8016c4188190a5ff93078e74dc39 |
completed | March 31, 2026, 8:04 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69cdc74e11f881908b52d0ffea751c96 |
completed | April 2, 2026, 1:33 a.m. |
Created at: March 30, 2026, 5:58 p.m.