Triple
T15137019
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | naive set theory |
E361579
|
entity |
| Predicate | isRelatedTo |
P37
|
FINISHED |
| Object | Frege's system in Grundgesetze der Arithmetik |
E18534
|
NE FINISHED |
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: Frege's system in Grundgesetze der Arithmetik | Statement: [naive set theory, isRelatedTo, Frege's system in Grundgesetze der Arithmetik]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Frege's system in Grundgesetze der Arithmetik Context triple: [naive set theory, isRelatedTo, Frege's system in Grundgesetze der Arithmetik]
-
A.
Frege’s system in "Grundgesetze der Arithmetik"
chosen
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.
-
B.
Frege’s Conception of Numbers as Objects
Frege’s Conception of Numbers as Objects is a major philosophical work by Crispin Wright that offers an influential interpretation and defense of Gottlob Frege’s view that numbers are abstract objects grounded in logic.
-
C.
Grundgesetze der Arithmetik, Volume I
Grundgesetze der Arithmetik, Volume I is Gottlob Frege’s foundational work in logic and the philosophy of mathematics, in which he develops his formal system aimed at deriving arithmetic from purely logical principles.
-
D.
Lectures on the Logic of Arithmetic
Lectures on the Logic of Arithmetic is an educational work by Mary Everest Boole that explores the foundations and teaching of arithmetic through logical and psychological principles.
-
E.
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.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 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_69d85a06450081909c5a14ea9851a15e |
completed | April 10, 2026, 2:01 a.m. |
| NER | Named-entity recognition | batch_69e005b59b488190b0016970647e7483 |
completed | April 15, 2026, 9:40 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69febfea8e3081909551a8e3936c13a6 |
completed | May 9, 2026, 5:02 a.m. |
Created at: April 10, 2026, 3:07 a.m.