Triple

T10829076
Position Surface form Disambiguated ID Type / Status
Subject Veblen hierarchy E255569 entity
Predicate instanceOf P0 FINISHED
Object hierarchy of ordinal functions C27362 CONCEPT FINISHED

How this triple was built (1 step)

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.

CD Concept disambiguation gpt-5-mini-2025-08-07
Target class: hierarchy of ordinal functions
Context triple: [Veblen hierarchy, instanceOf, hierarchy of ordinal functions]
  • A. cumulative hierarchy
    The cumulative hierarchy is a conceptual model of the set-theoretic universe built in transfinite stages, where each level consists of all sets that can be formed from the sets at earlier levels.
  • B. hyperoperation notation
    Hyperoperation notation is a systematic way of representing an infinite hierarchy of arithmetic operations (such as addition, multiplication, exponentiation, tetration, and beyond) using a unified symbolic scheme.
  • C. fast-growing function chosen
    A fast-growing function is a mathematical function whose values increase more rapidly than those of standard elementary functions (like polynomials or exponentials), often outpacing any fixed level of such growth rates.
  • D. axiomatic set theory
    Axiomatic set theory is a branch of mathematical logic that studies sets and their relationships by formulating precise axioms to avoid paradoxes and provide a rigorous foundation for mathematics.
  • E. hierarchy of formal grammars
    A hierarchy of formal grammars is an organized classification of grammars into levels based on their generative power and structural constraints, such as the Chomsky hierarchy from regular to recursively enumerable languages.
  • F. None of above.

Provenance (1 batch)

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_69d6aa8081448190a9324184f2bd1c26 completed April 8, 2026, 7:20 p.m.
Created at: April 8, 2026, 9:19 p.m.