Triple
T16614780
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Formulario Mathematico |
E403668
|
entity |
| Predicate | associatedWith |
P37
|
FINISHED |
| Object |
Peano school of logic
The Peano school of logic was an influential group of late 19th- and early 20th-century Italian mathematicians and logicians, led by Giuseppe Peano, that advanced symbolic logic, formal languages, and the foundations of mathematics.
|
E1223618
|
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: Peano school of logic | Statement: [Formulario Mathematico, associatedWith, Peano school of logic]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Peano school of logic Context triple: [Formulario Mathematico, associatedWith, Peano school of logic]
-
A.
Tarski school of logic
Tarski school of logic is a scholarly work on mathematical logic and the legacy of Alfred Tarski, reflecting the contributions and perspectives of his students and followers in the development of modern logic and model theory.
-
B.
Russellian logic
Russellian logic is the formal logical framework developed by Bertrand Russell, emphasizing precise analysis of language, types, and logical form to avoid paradoxes and clarify philosophical problems.
-
C.
Hilbert’s program
Hilbert’s program was an influential early-20th-century initiative in the foundations of mathematics that sought to formalize all of mathematics and prove its consistency using finitistic methods.
-
D.
Leibnizian logic
Leibnizian logic is the rationalist, formal approach to logic and calculation developed by Gottfried Wilhelm Leibniz, emphasizing symbolic representation, logical calculus, and the reduction of mathematical and philosophical reasoning to precise logical principles.
-
E.
Bourbaki school of mathematics
The Bourbaki school of mathematics is a collective pseudonymous group of mainly French mathematicians known for their rigorous, abstract, and axiomatic reformulation of modern mathematics through influential multi-volume treatises.
- 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: Peano school of logic Triple: [Formulario Mathematico, associatedWith, Peano school of logic]
Generated description
The Peano school of logic was an influential group of late 19th- and early 20th-century Italian mathematicians and logicians, led by Giuseppe Peano, that advanced symbolic logic, formal languages, and the foundations of mathematics.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Peano school of logic Target entity description: The Peano school of logic was an influential group of late 19th- and early 20th-century Italian mathematicians and logicians, led by Giuseppe Peano, that advanced symbolic logic, formal languages, and the foundations of mathematics.
-
A.
Tarski school of logic
Tarski school of logic is a scholarly work on mathematical logic and the legacy of Alfred Tarski, reflecting the contributions and perspectives of his students and followers in the development of modern logic and model theory.
-
B.
Russellian logic
Russellian logic is the formal logical framework developed by Bertrand Russell, emphasizing precise analysis of language, types, and logical form to avoid paradoxes and clarify philosophical problems.
-
C.
Hilbert’s program
Hilbert’s program was an influential early-20th-century initiative in the foundations of mathematics that sought to formalize all of mathematics and prove its consistency using finitistic methods.
-
D.
Leibnizian logic
Leibnizian logic is the rationalist, formal approach to logic and calculation developed by Gottfried Wilhelm Leibniz, emphasizing symbolic representation, logical calculus, and the reduction of mathematical and philosophical reasoning to precise logical principles.
-
E.
Bourbaki school of mathematics
The Bourbaki school of mathematics is a collective pseudonymous group of mainly French mathematicians known for their rigorous, abstract, and axiomatic reformulation of modern mathematics through influential multi-volume treatises.
- 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_69d883897eb481909eaaa088ba9918d9 |
completed | April 10, 2026, 4:58 a.m. |
| NER | Named-entity recognition | batch_69e3609935a88190baa56f3a42b2ecd1 |
completed | April 18, 2026, 10:44 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a0075aeaa9881908bdef0f9f2b52e60 |
completed | May 10, 2026, 12:10 p.m. |
| NEDg | Description generation | batch_6a007705f57881908b07a20ae8957c64 |
completed | May 10, 2026, 12:16 p.m. |
| NED2 | Entity disambiguation (via description) | batch_6a007b18f0b08190a9ddc6ad7358d6b8 |
completed | May 10, 2026, 12:33 p.m. |
Created at: April 10, 2026, 5:17 a.m.