Conceptual harmonies : the origins and relevance of Hegel's logic / Paul Redding.

Format:

Book

Author/Creator:

Redding, Paul, 1948- author.

Series:

Chicago scholarship online.

Chicago scholarship online

Language:

English

Subjects (All):

Hegel, Georg Wilhelm Friedrich, 1770-1831.

Hegel, Georg Wilhelm Friedrich.

Hegel, Georg Wilhelm Friedrich, 1770-1831--Sources.

Logic.

Logic--History.

Mathematics, Greek.

Physical Description:

1 online resource (303 pages)

Place of Publication:

Chicago : The University of Chicago Press, 2024.

Summary:

'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.

Contents:

Intro

Contents

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.

Notes:

Previously issued in print: 2023.

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (viewed on December 14, 2023).

Other Format:

Print version: Redding, Paul Conceptual Harmonies

ISBN:

0-226-82606-6

OCLC:

1373986655