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

Subject Matter

 * Analysis

Contents

 * Foreword (by John Archibald Wheeler)


 * Introduction (by Stephen Pollard)


 * 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