Conceptual Harmonies: The Origins and Relevance of Hegel’s Logic
Autor Paul Reddingen Limba Engleză Paperback – 15 mai 2023
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.
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Specificații
ISBN-13: 9780226826073
ISBN-10: 0226826074
Pagini: 336
Ilustrații: 28 line drawings
Dimensiuni: 152 x 229 x 33 mm
Greutate: 0.45 kg
Ediția:First Edition
Editura: University of Chicago Press
Colecția University of Chicago Press
ISBN-10: 0226826074
Pagini: 336
Ilustrații: 28 line drawings
Dimensiuni: 152 x 229 x 33 mm
Greutate: 0.45 kg
Ediția:First Edition
Editura: University of Chicago Press
Colecția University of Chicago Press
Notă biografică
Paul Redding is emeritus professor of philosophy at the University of Sydney. He is the author of Continental Idealism: Leibniz to Nietzsche and Analytic Philosophy and the Return of Hegelian Thought.
Cuprins
Hegel’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
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
Recenzii
“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.”
“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.”
“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