Mathématiques et Mathématiciens: Pensées et Curiosités

"Mathématiques et Mathématiciens: Pensées et Curiosités" by A. Rebière is a collection of philosophical reflections and curiosities related to mathematics, written in the late 19th century. This work explores various mathematical concepts, theories, and the significance of mathematics in different fields through insights from historical and contemporary thinkers. The opening of this work sets the stage by discussing the nature of mathematics and its various branches such as arithmetic, geometry, and astronomy. It poses essential questions about the definition and scope of mathematics, indicating that it deals primarily with notions of order and measurement. The text includes quotes from influential philosophers and mathematicians like Aristotle, Descartes, and Kant, offering a glimpse into the foundational ideas that shape mathematical inquiry. Rebière emphasizes the importance of mathematics as a science of measuring and understanding the relationships between quantities, hinting at the book's broader examination of both abstract concepts and their practical applications.