Book:Hermann Weyl/The Continuum: A Critical Examination of the Foundation of Analysis

Subject Matter

 * Analysis

Contents

 * Foreword (by John Archibald Wheeler)


 * Introduction (by )


 * Preface


 * Preface to the 1932 Reprint


 * Chapter 1: Set and Function
 * Logical Section
 * $\S 1$. Property, Relation, Existence
 * $\S 2$. The Principles of the Combination of Judgments
 * $\S 3$. Logical Inference. Axiomatic Method
 * Mathematical Section
 * $\S 4$. Sets
 * $\S 5$. The Natural Numbers: Richard's Antinomy
 * $\S 6$. Iteration of the Mathematical Process
 * The circulus vitiosus of Analysis
 * $\S 7$. Principles of Substitution & Iteration
 * $\S 8$. Definitive Formulation of the Foundations.
 * Introduction of Ideal Elements


 * Chapter 2: The Concept of Number & The Continuum
 * $\S 1$. Natural Numbers and Cardinalities
 * $\S 2$. Fractions and Rational Numbers
 * $\S 3$. Real Numbers
 * $\S 4$. Sequences, Convergence Principle
 * $\S 5$. Continuous Functions
 * $\S 6$. The Intuitive and The Mathematical Continuum
 * $\S 7$. Magnitudes and Their Measures
 * $\S 8$. Curves and Surfaces


 * Appendix


 * Notes


 * Bibliography


 * Index