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.