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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

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

Library of Congress subject headings for this publication: Mathematical analysis Foundations