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The Continuum: A Critical Examination of the Foundation of Analysis by Hermann Weyl ISBN: 0486679829 Dover Publications Price: $8.95 click here to see this book This classic text deals with the conceptual problem posed by the continuum — the set of all real numbers. Chapter 1 deals with the logic and mathematics of set and function, while Chapter 2 focuses on the concept of number and the continuum. Advanced-level mathematical landmark will interest anyone working in foundational analysis. Bibliography. Originally published 1918. Table of Contents for The Continuum: A Critical Examination of the Foundation of Analysis Foreword; Introduction; Preface Chapter 1. Set and Function Logical Section 1. Property, Relation, Existence 2. The Principles of the combination of Judgments 3. Logical Inference. Axiomatic Method Mathematical Section 4. Sets 5. The Natural Numbers: Richard's Antinomy 6. Iteration of the Mathematical Process. The circulus vitiosus of Analysis 7. Principles of Substitution & Iteration 8. Definitive Formulation of the Foundations. Introduction of Ideal Elements Chapter 2. The Concept of Number & The Continuum 1. Natural Numbers and Cardinalities 2. Fractions and Rational Numbers 3. Real Numbers 4. Sequences, Convergence Principle 5. Continuous Functions 6. The Intuitive and the Mathematical Continuum 7. Magnitudes and Their Measures 8. Curves and Surfaces Appendix; Notes; Bibliography; Index

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