The Value Of Science
- 158 pages
- 6 hours of reading
A French thinker whose vast knowledge spanned mathematics, physics, and the philosophy of science. Poincaré was often described as a polymath, excelling across all fields of mathematics as it existed in his time. His work is characterized by a profound understanding of complex scientific concepts and their philosophical implications. He explored the boundaries of human knowledge and the nature of scientific inquiry.







Valued by academicians and scholars, this book holds significant literary importance and serves as a vital knowledge resource for future generations. It is presented in its original print format, preserving its authentic character, including any marks or annotations from its initial publication. This approach ensures that the book's true nature and historical context remain intact for readers.
Poincaré’s Foundational Work on Dynamical Systems Theory
Here is an accurate and readable translation of a seminal article by Henri Poincaré that is a classic in the study of dynamical systems popularly called chaos theory. In an effort to understand the stability of orbits in the solar system, Poincaré applied a Hamiltonian formulation to the equations of planetary motion and studied these differential equations in the limited case of three bodies to arrive at properties of the equations’ solutions, such as orbital resonances and horseshoe orbits. Poincaré wrote for professional mathematicians and astronomers interested in celestial mechanics and differential equations. Contemporary historians of math or science and researchers in dynamical systems and planetary motion with an interest in the origin or history of their field will find his work fascinating.
Henri Poincaré's work presents a profound exploration of the philosophy of science, articulating his insights into the nature of scientific inquiry and the role of mathematics in understanding the universe. Translated into English in 1913, it delves into the interplay between empirical observation and theoretical frameworks, highlighting Poincaré's influential ideas that shaped modern scientific thought. The text is a significant contribution to the philosophy of science, reflecting on the principles that govern scientific reasoning and discovery.
The narrative centers on Henri Poincaré's influential philosophical works, highlighting his major publications and the posthumous efforts to compile a fifth volume, "L'Opportunisme scientifique." Despite the project being well-supported by notable figures, it ultimately remained unpublished due to objections from Poincaré's heirs. This book aims to explore this significant episode, shedding light on Poincaré's editorial practices and the lasting impact of his philosophical ideas, as revealed through his correspondence stored in the Poincaré Archives.