Contents

Introduction

Levels of Infinity (1930)

Topology and Abstract Algebra as Two Roads of Mathematical Comprehension (1932)

Emmy Noether (1935)

The Mathematical Way of Thinking (1940)

David Hilbert 1862-1943 (1944)

David Hilbert and His Mathematical Work (1944)

Mathematics and Logic (1946)

Relativity Theory as a Stimulus in Mathematical Research (1949)

A Half-Century of Mathematics (1951)

Axiomatic Versus Constructive Procedures in Mathematics (1953)

Why is the World Four-Dimensional? (1955)

References

Acknowledgments

Index