Description
Book SynopsisTrade Review“The erudition and scope of Redding’s new book are staggering. This is a very fine book on the history of ancient logic and mathematics and its modern German reception, and it is also a major contribution to Hegel studies and philosophy. We finally have a clear and compelling answer to the question, What did Hegel actually think logic was? Redding has shown us the deep philosophical importance of that answer.” -- Robert B. Pippin, University of Chicago
“
Conceptual Harmonies powerfully challenges a long-standing barrier to a full appreciation of Hegel’s logic: the assumption that, given his trenchant critique of all ‘formalisms,’ Hegel’s logic is in no way mathematical. With his characteristic erudition and insight, Redding guides readers through a history of logic and mathematics from Plato to the twentieth century, toward an entirely new understanding of Hegelian logic. Redding’s latest is a must-read for anyone interested in Hegel and the history of logic, proving once again that Redding is one of the most original, rigorous, and historically sensitive interpreters of Hegel writing in any language.” -- Karen Ng, Vanderbilt University
“In
Conceptual Harmonies, Redding makes a breathtakingly original case for a new understanding of Hegel’s Logic. Expanding the examination of Hegel’s sources well beyond the standard Aristotelian and Kantian texts, Redding rewrites the history of logic to show that Hegel anticipated many developments in the mid-nineteenth century and beyond. This is a major achievement that opens up a new line of research into Hegel’s though -- Dean Moyar, Johns Hopkins University
Table of ContentsHegel’s Texts: Translations and Abbreviations
Preface
Introduction
Beginning: Hegel’s Classicism
1 Logic, Mathematics, and Philosophy in Fourth-Century Athens
2 Hegel and the Platonic Origins of Aristotle’s Syllogistic
3 The General Significance of Neoplatonic Harmonic Theory for Hegel’s Account of Magnitude
Middle: Classical Meets Modern
4 Geometry and Philosophy in Hegel, Schelling, Carnot, and Grassmann
5 The Role of
Analysis Situs in Leibniz’s Modernization of Logic
6 Hegel’s Supersession of Leibniz and Newton: The Limitations of Calculus and Logical Calculus
End: The Modern as Redetermined Classical
7 Exploiting Resources within Aristotle for the Rehabilitation of the Syllogism
8 The Return of Leibnizian Logic in the Nineteenth Century: From Boole to Heyting
9 Hegel among the New Leibnizians: Judgments
10 Hegel beyond the New Leibnizians: Syllogisms
Conclusion: The God at the Terminus of Hegel’s Logic
Acknowledgments
Notes
Bibliography
Index
