MATHEMATICS and SYMBOLISM: Exploring the Relationships between Logic, Mathematics and Metaphysics

Why is mathematics so well suited to providing traditional symbolism with tools to highlight correspondences between immanence and transcendence, between the physical and the metaphysical? What brings logic and mathematics so close to the principles of integral metaphysics? How can the most elementary mathematical entities symbolize the most universal principles? Why are integrals more difficult to solve than derivatives? Why is there no general formula for solving all fifth-degree (or higher) equations using only algebraic and radical operations? Why has reductionism in mathematics run up against insurmountable limits? All these questions are closely intertwined. This book aims to answer these and many other questions through a cross-examination that ranges from the numerology of ancient wisdom schools to modern metamathematics. From Pythagoras to Gödel, passing through Plato, Leibniz, and many others, there is a common thread that has led scholars over the centuries to understand the profound connections between logic, mathematics, and metaphysics.