Table of Contents

Introduction Levels of Infinity (1931) 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 (1953) Axiomatic versus Constructive Procedures in Mathematics (1953) Why is the World Four-Dimensional? (1955) References