Stetigkeit und irrationale Zahlen

Target entity: Stetigkeit und irrationale Zahlen
Context triple: [Richard Dedekind, notableWork, Stetigkeit und irrationale Zahlen]

• A. Du Bois-Reymond theory of orders of infinity
  The Du Bois-Reymond theory of orders of infinity is a foundational framework in analysis that rigorously compares the growth rates of functions by classifying them into hierarchies of infinitesimal and infinite magnitudes.
• B. Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe
  Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe is Bernhard Riemann’s seminal 1854 paper that laid foundational ideas for Fourier series and modern real analysis, including the concept now known as the Riemann integral.
• C. 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.
• D. Grundzüge der Mengenlehre
  Grundzüge der Mengenlehre is a foundational early 20th-century textbook on set theory that helped formalize and shape modern axiomatic set theory and topology.
• E. Theorie der algebraischen Zahlen
  "Theorie der algebraischen Zahlen" is Kurt Hensel’s foundational work in algebraic number theory, notable for introducing and developing the concept of p-adic numbers.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Stetigkeit und irrationale Zahlen
Target entity description: "Stetigkeit und irrationale Zahlen" is Richard Dedekind’s seminal 1872 work in which he rigorously defines real numbers and continuity via Dedekind cuts, laying a foundation for modern analysis.

• A. Du Bois-Reymond theory of orders of infinity
  The Du Bois-Reymond theory of orders of infinity is a foundational framework in analysis that rigorously compares the growth rates of functions by classifying them into hierarchies of infinitesimal and infinite magnitudes.
• B. Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe
  Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe is Bernhard Riemann’s seminal 1854 paper that laid foundational ideas for Fourier series and modern real analysis, including the concept now known as the Riemann integral.
• C. 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.
• D. Grundzüge der Mengenlehre
  Grundzüge der Mengenlehre is a foundational early 20th-century textbook on set theory that helped formalize and shape modern axiomatic set theory and topology.
• E. Theorie der algebraischen Zahlen
  "Theorie der algebraischen Zahlen" is Kurt Hensel’s foundational work in algebraic number theory, notable for introducing and developing the concept of p-adic numbers.
• F. None of above. chosen