Triple

T2314440
Position Surface form Disambiguated ID Type / Status
Subject Oswald Veblen E51030 entity
Predicate notableWork P4 FINISHED
Object Veblen hierarchy
The Veblen hierarchy is a transfinite sequence of ordinal functions used in mathematical logic and set theory to systematically generate and classify very large countable ordinals.
E255569 NE FINISHED

How this triple was built (4 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: Veblen hierarchy | Statement: [Oswald Veblen, notableWork, Veblen hierarchy]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Veblen hierarchy
Context triple: [Oswald Veblen, notableWork, Veblen hierarchy]
  • A. Hicks–Kaldor compensation criterion
    The Hicks–Kaldor compensation criterion is an economic efficiency test stating that a policy change is desirable if those who gain could in principle compensate those who lose and still be better off, regardless of whether compensation actually occurs.
  • B. Kaldorian cumulative causation
    Kaldorian cumulative causation is an economic theory proposing that growth and industrial development are driven by self-reinforcing feedback loops, where initial advantages in productivity, demand, or exports lead to further gains and regional divergence.
  • C. Hicksian demand
    Hicksian demand is a concept in microeconomics that describes how a consumer’s demand for goods changes when prices vary while holding utility (satisfaction) constant, often used in welfare and consumer theory.
  • D. Pareto efficiency
    Pareto efficiency is an economic concept describing an allocation of resources where no individual can be made better off without making someone else worse off.
  • E. The Theory and Measurement of Demand
    The Theory and Measurement of Demand is a foundational economics book by Henry Schultz that rigorously develops statistical and mathematical methods for estimating consumer demand.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Veblen hierarchy
Triple: [Oswald Veblen, notableWork, Veblen hierarchy]
Generated description
The Veblen hierarchy is a transfinite sequence of ordinal functions used in mathematical logic and set theory to systematically generate and classify very large countable ordinals.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Veblen hierarchy
Target entity description: The Veblen hierarchy is a transfinite sequence of ordinal functions used in mathematical logic and set theory to systematically generate and classify very large countable ordinals.
  • A. Hicks–Kaldor compensation criterion
    The Hicks–Kaldor compensation criterion is an economic efficiency test stating that a policy change is desirable if those who gain could in principle compensate those who lose and still be better off, regardless of whether compensation actually occurs.
  • B. Kaldorian cumulative causation
    Kaldorian cumulative causation is an economic theory proposing that growth and industrial development are driven by self-reinforcing feedback loops, where initial advantages in productivity, demand, or exports lead to further gains and regional divergence.
  • C. Hicksian demand
    Hicksian demand is a concept in microeconomics that describes how a consumer’s demand for goods changes when prices vary while holding utility (satisfaction) constant, often used in welfare and consumer theory.
  • D. Pareto efficiency
    Pareto efficiency is an economic concept describing an allocation of resources where no individual can be made better off without making someone else worse off.
  • E. The Theory and Measurement of Demand
    The Theory and Measurement of Demand is a foundational economics book by Henry Schultz that rigorously develops statistical and mathematical methods for estimating consumer demand.
  • F. None of above. chosen

Provenance (5 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_69a88b074b908190ae983dbca7757d88 completed March 4, 2026, 7:41 p.m.
NER Named-entity recognition batch_69abc61d41f88190983f8947667b4c7a completed March 7, 2026, 6:30 a.m.
NED1 Entity disambiguation (via context triple) batch_69ae895f5420819087b403e9772dce9a completed March 9, 2026, 8:48 a.m.
NEDg Description generation batch_69ae8af65eb88190b17d74e7411967cc completed March 9, 2026, 8:55 a.m.
NED2 Entity disambiguation (via description) batch_69ae8ba02cec8190917c0e17d3fedb0e completed March 9, 2026, 8:58 a.m.
Created at: March 4, 2026, 7:49 p.m.