Triple

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).

Phrase: Hume’s Principle (derivable, not postulated) | Statement: [Frege’s system in "Grundgesetze der Arithmetik", formalizes, Hume’s Principle (derivable, not postulated)]

Target entity: Hume’s Principle (derivable, not postulated)
Context triple: [Frege’s system in "Grundgesetze der Arithmetik", formalizes, Hume’s Principle (derivable, not postulated)]

• A. 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.
• B. On the Fourfold Root of the Principle of Sufficient Reason
  On the Fourfold Root of the Principle of Sufficient Reason is a foundational philosophical treatise by Arthur Schopenhauer that analyzes the different ways in which the principle of sufficient reason structures human knowledge and experience.
• C. 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.
• D. Morse–Kelley set theory by class–set distinction
  Morse–Kelley set theory by class–set distinction is a foundational system that avoids certain set-theoretic paradoxes by rigorously distinguishing between sets and proper classes within a powerful axiomatic framework.
• E. Remarks on the Foundations of Mathematics
  Remarks on the Foundations of Mathematics is a posthumously published collection of Ludwig Wittgenstein’s later writings that critically examines the nature of mathematical truth, proof, and practice from a philosophical and language-centered perspective.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

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]"

Entity: Hume’s Principle (derivable, not postulated)
Triple: [Frege’s system in "Grundgesetze der Arithmetik", formalizes, Hume’s Principle (derivable, not postulated)]

Hume’s Principle (derivable, not postulated) is the numerical equivalence principle in Frege’s logical system that is obtained as a theorem rather than assumed as a foundational axiom.

Target entity: Hume’s Principle (derivable, not postulated)
Target entity description: Hume’s Principle (derivable, not postulated) is the numerical equivalence principle in Frege’s logical system that is obtained as a theorem rather than assumed as a foundational axiom.

• A. 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.
• B. On the Fourfold Root of the Principle of Sufficient Reason
  On the Fourfold Root of the Principle of Sufficient Reason is a foundational philosophical treatise by Arthur Schopenhauer that analyzes the different ways in which the principle of sufficient reason structures human knowledge and experience.
• C. 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.
• D. Morse–Kelley set theory by class–set distinction
  Morse–Kelley set theory by class–set distinction is a foundational system that avoids certain set-theoretic paradoxes by rigorously distinguishing between sets and proper classes within a powerful axiomatic framework.
• E. Remarks on the Foundations of Mathematics
  Remarks on the Foundations of Mathematics is a posthumously published collection of Ludwig Wittgenstein’s later writings that critically examines the nature of mathematical truth, proof, and practice from a philosophical and language-centered perspective.
• F. None of above. chosen