Triple

T3995508
Position Surface form Disambiguated ID Type / Status
Subject Giuseppe Peano E87088 entity
Predicate notableWork P4 FINISHED
Object Arithmetices principia, nova methodo exposita
Arithmetices principia, nova methodo exposita is Giuseppe Peano’s foundational work in mathematical logic that presents an axiomatization of arithmetic using symbolic notation.
E403669 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: Arithmetices principia, nova methodo exposita | Statement: [Giuseppe Peano, notableWork, Arithmetices principia, nova methodo exposita]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Arithmetices principia, nova methodo exposita
Context triple: [Giuseppe Peano, notableWork, Arithmetices principia, nova methodo exposita]
  • A. Principia Mathematica
    Principia Mathematica is a landmark three-volume work in mathematical logic and the foundations of mathematics, co-authored by Bertrand Russell and Alfred North Whitehead, which aimed to derive all mathematical truths from a formal system of symbolic logic.
  • B. Die Grundlagen der Arithmetik
    Die Grundlagen der Arithmetik is Gottlob Frege’s seminal philosophical work that lays the logical foundations of arithmetic and advances the logicist thesis that arithmetic is reducible to pure logic.
  • C. Frege’s system in "Grundgesetze der Arithmetik"
    Frege’s system in "Grundgesetze der Arithmetik" is a foundational logical framework for arithmetic based on second-order logic and Basic Law V, whose inconsistency—revealed by Russell’s paradox—marked a turning point in the development of modern logic and set theory.
  • D. Grundgesetze der Arithmetik, Volume II
    Grundgesetze der Arithmetik, Volume II is the second volume of Gottlob Frege’s foundational work in logic and the philosophy of mathematics, in which he further develops and applies his formal system for arithmetic.
  • E. Begriffsschrift
    Begriffsschrift is Gottlob Frege’s groundbreaking 1879 work that introduced a formal logical notation and is widely regarded as the foundation of modern symbolic logic.
  • 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: Arithmetices principia, nova methodo exposita
Triple: [Giuseppe Peano, notableWork, Arithmetices principia, nova methodo exposita]
Generated description
Arithmetices principia, nova methodo exposita is Giuseppe Peano’s foundational work in mathematical logic that presents an axiomatization of arithmetic using symbolic notation.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Arithmetices principia, nova methodo exposita
Target entity description: Arithmetices principia, nova methodo exposita is Giuseppe Peano’s foundational work in mathematical logic that presents an axiomatization of arithmetic using symbolic notation.
  • A. Principia Mathematica
    Principia Mathematica is a landmark three-volume work in mathematical logic and the foundations of mathematics, co-authored by Bertrand Russell and Alfred North Whitehead, which aimed to derive all mathematical truths from a formal system of symbolic logic.
  • B. Die Grundlagen der Arithmetik
    Die Grundlagen der Arithmetik is Gottlob Frege’s seminal philosophical work that lays the logical foundations of arithmetic and advances the logicist thesis that arithmetic is reducible to pure logic.
  • C. Frege’s system in "Grundgesetze der Arithmetik"
    Frege’s system in "Grundgesetze der Arithmetik" is a foundational logical framework for arithmetic based on second-order logic and Basic Law V, whose inconsistency—revealed by Russell’s paradox—marked a turning point in the development of modern logic and set theory.
  • D. Grundgesetze der Arithmetik, Volume II
    Grundgesetze der Arithmetik, Volume II is the second volume of Gottlob Frege’s foundational work in logic and the philosophy of mathematics, in which he further develops and applies his formal system for arithmetic.
  • E. Begriffsschrift
    Begriffsschrift is Gottlob Frege’s groundbreaking 1879 work that introduced a formal logical notation and is widely regarded as the foundation of modern symbolic logic.
  • 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_69aed94118148190975e6aa4e554cde9 completed March 9, 2026, 2:29 p.m.
NER Named-entity recognition batch_69aefa2159d88190a01de8b038341916 completed March 9, 2026, 4:49 p.m.
NED1 Entity disambiguation (via context triple) batch_69b5403c703081908070625ebfb6fb5f completed March 14, 2026, 11:02 a.m.
NEDg Description generation batch_69b540ec36a4819082a9cbefc99bd683 completed March 14, 2026, 11:05 a.m.
NED2 Entity disambiguation (via description) batch_69b5416d182c81908b1ae43ed097d288 completed March 14, 2026, 11:07 a.m.
Created at: March 9, 2026, 3:34 p.m.