Conceptual Harmonies: The Origins and Relevance of Hegel’s Logic

by Paul Redding

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 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.

Genres: Philosophy

302 pages, Paperback

Published June 5, 2023

Reviews

[Michael Godwin · Rating 5 out of 5]

Conceptual Harmonies: The Origins and Relevance of Hegel's Logic by Paul Redding offers an original and intellectually stimulating reading of Hegel's notoriously challenging Science of Logic. Rather than approaching Hegel's logic exclusively through traditional philosophical interpretations, Redding places the work within the history of European mathematics, revealing connections between philosophical reasoning and mathematical developments that help illuminate the origins and structure of Hegel's thought.

One of the book's most compelling features is its attention to the relationship between mathematics and philosophy across different historical periods. Redding traces Hegel's engagement with Pythagorean ratios, Platonic reason, and Aristotle's geometrically informed approach to logic, demonstrating how these earlier traditions contributed to the intellectual background of the Science of Logic. This historical approach gives readers a valuable framework for understanding ideas that can otherwise appear highly abstract or disconnected.

The discussion of the mathematical traditions that shaped Hegel's intellectual world is particularly fascinating. Redding considers the influence of Leibniz alongside the emergence of new forms of algebraic geometry, showing how developments in mathematics contributed to the conceptual environment in which Hegel formulated his ideas. The result is a richer picture of Hegel's logic as part of a much longer conversation between mathematical and philosophical conceptions of structure, reason, and form.

Another important contribution is the book's effort to recover an overlooked dimension of Hegel's philosophy. By emphasizing the relationship between mathematical thought and philosophical concepts, Redding challenges readers to reconsider what the Science of Logic is attempting to accomplish and why its arguments continue to matter for contemporary discussions of logic.

For readers interested in Hegel, German idealism, philosophy of mathematics, logic, intellectual history, and the historical relationship between mathematics and philosophy, Conceptual Harmonies provides a rewarding and thought-provoking study. Its interdisciplinary approach makes difficult philosophical material more historically intelligible while opening new questions about the nature of logical thought.

Ultimately, Redding presents Hegel's Science of Logic as part of a broader intellectual history in which mathematical and philosophical ideas have continually influenced one another. The book offers a fresh perspective on Hegel while demonstrating why this connection between mathematics and philosophy remains relevant to contemporary conceptions of logic.

[Lamp · Rating 2 out of 5]

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