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.

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