Triple
T20851666
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | The Number Systems |
E513377
|
entity |
| Predicate | about |
P380
|
FINISHED |
| Object | Peano axioms |
—
|
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: Peano axioms | Statement: [The Number Systems, about, Peano axioms]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Peano axioms Context triple: [The Number Systems, about, Peano axioms]
-
A.
Peano arithmetic
chosen
Peano arithmetic is a formal first-order axiomatic system that captures the basic properties of the natural numbers and underpins much of modern mathematical logic and number theory.
-
B.
Robinson arithmetic
Robinson arithmetic is a weak formal system of arithmetic that captures basic properties of the natural numbers but is strictly weaker and less expressive than full Peano arithmetic.
-
C.
Skolem arithmetic
Skolem arithmetic is a fragment of first-order arithmetic focusing on the natural numbers with multiplication but without addition, studied for its distinctive decidability and model-theoretic properties.
-
D.
Hilbert's axioms
Hilbert's axioms are a rigorous, foundational set of logical assumptions introduced by David Hilbert to provide a complete and consistent basis for Euclidean geometry.
-
E.
Peano notation
Peano notation is a formal symbolic system for representing natural numbers and arithmetic operations using axioms and successor functions, developed by Giuseppe Peano.
- 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_69e0b4f4898081908209e58edb8f9c45 |
completed | April 16, 2026, 10:07 a.m. |
| NER | Named-entity recognition | batch_69e6c3a3d8808190b8efce77ae36850e |
completed | April 21, 2026, 12:24 a.m. |
Created at: April 16, 2026, 12:43 p.m.