Triple
T17872157
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | The Consistency of the Continuum Hypothesis |
E446860
|
entity |
| Predicate | hasAbbreviation |
P43
|
FINISHED |
| Object | Consistency of CH |
—
|
NE NERFINISHED |
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: Consistency of CH | Statement: [The Consistency of the Continuum Hypothesis, hasAbbreviation, Consistency of CH]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Consistency of CH Context triple: [The Consistency of the Continuum Hypothesis, hasAbbreviation, Consistency of CH]
-
A.
continuum hypothesis
The continuum hypothesis is a central conjecture in set theory proposing a specific relationship between the sizes of the set of real numbers and the set of natural numbers, famously shown to be independent of the standard axioms of mathematics.
-
B.
Vaught conjecture
The Vaught conjecture is an open problem in mathematical logic and model theory that predicts a precise restriction on the possible numbers of countable models of a complete first-order theory.
-
C.
Erdős–Rado theorem
The Erdős–Rado theorem is a fundamental result in combinatorial set theory that generalizes Ramsey’s theorem to infinite cardinals, establishing powerful partition relations for large sets.
-
D.
constructible universe
chosen
The constructible universe is a class model of set theory introduced by Kurt Gödel that systematically builds sets in hierarchical stages and shows the relative consistency of the axiom of choice and the generalized continuum hypothesis with ZF.
-
E.
Cantor’s theorem
Cantor’s theorem is a fundamental result in set theory stating that the power set of any set has a strictly greater cardinality than the set itself, implying there is no largest infinity.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
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_69d8b9f4c22c819093c2680434472894 |
completed | April 10, 2026, 8:51 a.m. |
| NER | Named-entity recognition | batch_69e49aa3cd248190a13a8209ba44fd3b |
completed | April 19, 2026, 9:04 a.m. |
Created at: April 10, 2026, 10:18 a.m.