Méthode axiomatique et formalisme

Target entity: Méthode axiomatique et formalisme
Context triple: [Jean Cavaillès, notableWork, Méthode axiomatique et formalisme]

• A. Recherches sur la théorie de la démonstration
  Recherches sur la théorie de la démonstration is Jacques Herbrand’s foundational work in mathematical logic, introducing key results in proof theory and what is now known as Herbrand’s theorem.
• B. 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.
• C. Réflexions sur la métaphysique du calcul infinitésimal
  Réflexions sur la métaphysique du calcul infinitésimal is a foundational 18th-century treatise by Lazare Carnot that examines the philosophical and logical underpinnings of infinitesimal calculus.
• D. Principles of Mathematical Logic
  Principles of Mathematical Logic is a foundational work in mathematical logic by David Hilbert and Wilhelm Ackermann that systematically develops the formal underpinnings of logical reasoning and proof theory.
• E. 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.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Méthode axiomatique et formalisme
Target entity description: Méthode axiomatique et formalisme is a seminal philosophical work by Jean Cavaillès that analyzes the foundations, structure, and significance of axiomatic methods and formal systems in mathematics.

• A. Recherches sur la théorie de la démonstration
  Recherches sur la théorie de la démonstration is Jacques Herbrand’s foundational work in mathematical logic, introducing key results in proof theory and what is now known as Herbrand’s theorem.
• B. 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.
• C. Réflexions sur la métaphysique du calcul infinitésimal
  Réflexions sur la métaphysique du calcul infinitésimal is a foundational 18th-century treatise by Lazare Carnot that examines the philosophical and logical underpinnings of infinitesimal calculus.
• D. Principles of Mathematical Logic
  Principles of Mathematical Logic is a foundational work in mathematical logic by David Hilbert and Wilhelm Ackermann that systematically develops the formal underpinnings of logical reasoning and proof theory.
• E. 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.
• F. None of above. chosen