Book:Hermann Weyl/The Continuum: A Critical Examination of the Foundation of Analysis
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Hermann Weyl: The Continuum: A Critical Examination of the Foundation of Analysis
Published $\text {1918}$, Dover Publications
- ISBN 0-486-67982-9 (translated by Stephen Pollard and Thomas Bole)
Translated from:
Subject Matter
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