A new reading of Hegel’s Science of Logic through the history of European mathematics.

Conceptual Harmonies develops an original account of G. W. F. Hegel’s perplexing Science of Logic from a simple insight: philosophical and mathematical thought have shaped each other since classical times. Situating Science of Logic within the rise of modern mathematics, Redding stresses Hegel’s attention to Pythagorean ratios, Platonic reason, and Aristotle’s geometrically inspired logic. He then explores how later traditions shaped Hegel’s world, through both Leibniz and new forms of algebraic geometry. This enlightening reading recovers an overlooked stream in Hegel’s philosophy that remains, Redding argues, important for contemporary conceptions of logic.

"In making his case, Redding places Hegel's discussion of logic and mathematics in a broad historical context, ranging from Plato's academy through Kepler, Newton, Leibniz, Frege, Boole, and Peirce. . . The book will be of interest to Hegel's scholars, not least of all for the challenge it mounts to Robert Brandom's contention that Hegel is best understood within the project of analytic philosophy." - Choice

"In this book, Paul Redding offers his most comprehensive answer to a question that is at the heart of his work: what is the relationship between Hegelian logic and 'what is commonly called logic?'"
  - Archives of Philosophy | Hegelian Bulletin

"The argument of Conceptual Harmonies is . . . a further, if not definitive, sign that the debate on Hegel’s metaphysics is finally changing." - Journal of Transcendental Philosophy

"Conceptual Harmonies is the best kind of history of philosophy. In it, Paul Redding uncovers a neglected tradition of Greek mathematics and shows its importance for Hegel’s theory of logical categories. Redding thus finds a new vocabulary in which to paraphrase some of Hegel’s most idiosyncratic formulations, but a vocabulary with a rich history of which Hegel was more aware than are we contemporary readers of him." - Critical Horizons