Logos and Alogon

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Exploring the philosophical dimensions of mathematics, this study delves into two key aspects: the conceptual nature of mathematics as an invention of ideas, and a Pythagorean perspective that highlights the relationship between geometry and algebra. It traces these ideas from ancient Greek mathematics to modern developments, particularly focusing on radical Pythagorean mathematics, which examines the interplay of thought and the ineffable in mathematical reasoning. Aimed at mathematicians, physicists, and scholars, it offers a fresh historical and philosophical understanding of mathematics.