Logos and Alogon

The book explores the philosophical dimensions of mathematics by examining two key aspects: the conceptual nature of mathematical invention and the Pythagorean interplay between geometry and algebra. It traces these elements from ancient Greek mathematics to modern practices that emerged around 1800 and solidified by 1900. Through the lens of radical Pythagorean mathematics, it investigates the boundaries of thought in mathematical reasoning. Aimed at mathematicians and scholars, it offers a fresh philosophical and historical perspective on the essence of mathematics.