Bernhard Riemann’s ‘On the Hypotheses Which Lie at the Bases of Geometry’ is not just a mathematical thesis, but a work with historical and philosophical significance. In this book, Riemann’s reasoning is placed in a wider perspective, looking at the concepts and ideas generated and developed by later mathematicians and physicists. This approach provides a more systematic understanding of the fundamental concepts of mathematics and science. The book is also useful for non-mathematicians, as it explores the history of the concept of space in philosophy, physics, and mathematics. Whether you are a mathematician or just someone with an interest in physics or philosophy, you will find this work engaging and thought-provoking.