Conceptual harmonies: the origins and relevance of Hegel's logic
"Supporters of G.W.F. Hegel's philosophy have largely shied away from relating his logic to modern symbolic or mathematical approaches. While it has predominantly been the non-Greek discipline of algebra that has informed modern mathematical logic, philosopher Paul Redding argues that the...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Chicago, IL ; London
The University of Chicago Press
2023
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | "Supporters of G.W.F. Hegel's philosophy have largely shied away from relating his logic to modern symbolic or mathematical approaches. While it has predominantly been the non-Greek discipline of algebra that has informed modern mathematical logic, philosopher Paul Redding argues that the approaches of Plato and Aristotle to logic were deeply shaped by the arithmetic and geometry of classical Greek culture. And by ignoring the fact that Hegel's logic also has this deep mathematical dimension, conventional Hegelians have missed some of Hegel's greatest insights. In Conceptual Harmonies, Redding develops an account of Hegel's logic against a classical and modern historical background that is rarely considered. He stresses Hegel's attention to the Platonic background of Aristotle's original syllogistic and beyond. He then links these Platonic elements to Leibniz's modern revitalization of the logical tradition and then to new forms of algebraic geometry emerging in Hegel's lifetime. Redding thereby reestablishes aspects of Hegel's philosophy that are essential if Hegel is to be taken as a thinker relevant not only to contemporary philosophy, but also to current philosophical conceptions of logic"-- |
| Beschreibung: | xv, 286 Seiten Illustrationen 23 cm |
| ISBN: | 9780226826073 9780226826059 |
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| 505 | 8 | |a Introduction -- Beginning: Hegel's classicisim. Logic Mathematics, and philosophy in fourth-century Athens -- Hegel and the Platonic origins of Aristotle's syllogistic -- The general significance of Neoplatonic harmonic theory for Hegel's account of magnitude -- Middle: Classical meets modern. Geometry and philosophy in Hegel, Schelling, Carnot and Grassmann -- The role of analysis situs in Leibniz's modernization of logic -- Hegel's supersession of Leibniz and Newton : the limitations of calculus and logical calculus -- End: The modern as redetermined classical. Exploiting resources within Aristotle for the rehabilitation of the syllogism -- The return of Leibnizian logic in the nineteenth century : from Boole to Heyting; Hegel among the new Leibnizians : judgments -- Hegel beyond the new Leibnizians : syllogisms -- Conclusion : the God at the terminus of Hegel's logic | |
| 520 | 3 | |a "Supporters of G.W.F. Hegel's philosophy have largely shied away from relating his logic to modern symbolic or mathematical approaches. While it has predominantly been the non-Greek discipline of algebra that has informed modern mathematical logic, philosopher Paul Redding argues that the approaches of Plato and Aristotle to logic were deeply shaped by the arithmetic and geometry of classical Greek culture. And by ignoring the fact that Hegel's logic also has this deep mathematical dimension, conventional Hegelians have missed some of Hegel's greatest insights. In Conceptual Harmonies, Redding develops an account of Hegel's logic against a classical and modern historical background that is rarely considered. He stresses Hegel's attention to the Platonic background of Aristotle's original syllogistic and beyond. He then links these Platonic elements to Leibniz's modern revitalization of the logical tradition and then to new forms of algebraic geometry emerging in Hegel's lifetime. Redding thereby reestablishes aspects of Hegel's philosophy that are essential if Hegel is to be taken as a thinker relevant not only to contemporary philosophy, but also to current philosophical conceptions of logic"-- | |
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Contents Hegel’s Texts: Translations and Abbreviations Preface ix vii Introduction 1 Beginning: Hegel’s Classicism i Logic, Mathematics, and Philosophy in Fourth-Century Athens 21 2 Hegel and the Platonic Origins of Aristotle’s Syllogistic 42 3 The General Significance of Neoplatonic Harmonic Theory for Hegel’s Account of Magnitude 57 Middle: Classical Meets Modern 4 Geometry and Philosophy in Hegel, Schelling, Carnot, and Grassmann 5 87 The Role of Analysis Situs in Leibniz’s Modernization of Logic 108 6 Hegel’s Supersession of Leibniz and Newton: The Limitations of Calculus and Logical Calculus 126 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 147 169
Hegel among the New Leibnizians: Judgments 191 io Hegel beyond the New Leibnizians: Syllogisms 213 9 Conclusion: The God at the Terminus of Hegel’s Logic Acknowledgments 233 Notes 235 Bibliography 261 Index 277 228 |
| adam_txt |
Contents Hegel’s Texts: Translations and Abbreviations Preface ix vii Introduction 1 Beginning: Hegel’s Classicism i Logic, Mathematics, and Philosophy in Fourth-Century Athens 21 2 Hegel and the Platonic Origins of Aristotle’s Syllogistic 42 3 The General Significance of Neoplatonic Harmonic Theory for Hegel’s Account of Magnitude 57 Middle: Classical Meets Modern 4 Geometry and Philosophy in Hegel, Schelling, Carnot, and Grassmann 5 87 The Role of Analysis Situs in Leibniz’s Modernization of Logic 108 6 Hegel’s Supersession of Leibniz and Newton: The Limitations of Calculus and Logical Calculus 126 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 147 169
Hegel among the New Leibnizians: Judgments 191 io Hegel beyond the New Leibnizians: Syllogisms 213 9 Conclusion: The God at the Terminus of Hegel’s Logic Acknowledgments 233 Notes 235 Bibliography 261 Index 277 228 |
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| contents | Introduction -- Beginning: Hegel's classicisim. Logic Mathematics, and philosophy in fourth-century Athens -- Hegel and the Platonic origins of Aristotle's syllogistic -- The general significance of Neoplatonic harmonic theory for Hegel's account of magnitude -- Middle: Classical meets modern. Geometry and philosophy in Hegel, Schelling, Carnot and Grassmann -- The role of analysis situs in Leibniz's modernization of logic -- Hegel's supersession of Leibniz and Newton : the limitations of calculus and logical calculus -- End: The modern as redetermined classical. Exploiting resources within Aristotle for the rehabilitation of the syllogism -- The return of Leibnizian logic in the nineteenth century : from Boole to Heyting; Hegel among the new Leibnizians : judgments -- Hegel beyond the new Leibnizians : syllogisms -- Conclusion : the God at the terminus of Hegel's logic |
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| index_date | 2024-07-03T22:25:22Z |
| indexdate | 2024-12-12T19:06:11Z |
| institution | BVB |
| isbn | 9780226826073 9780226826059 |
| language | English |
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| spelling | Redding, Paul 1948- Verfasser (DE-588)138261806 aut Conceptual harmonies the origins and relevance of Hegel's logic Paul Redding Origins and relevance of Hegel's logic Chicago, IL ; London The University of Chicago Press 2023 xv, 286 Seiten Illustrationen 23 cm txt rdacontent n rdamedia nc rdacarrier Introduction -- Beginning: Hegel's classicisim. Logic Mathematics, and philosophy in fourth-century Athens -- Hegel and the Platonic origins of Aristotle's syllogistic -- The general significance of Neoplatonic harmonic theory for Hegel's account of magnitude -- Middle: Classical meets modern. Geometry and philosophy in Hegel, Schelling, Carnot and Grassmann -- The role of analysis situs in Leibniz's modernization of logic -- Hegel's supersession of Leibniz and Newton : the limitations of calculus and logical calculus -- End: The modern as redetermined classical. Exploiting resources within Aristotle for the rehabilitation of the syllogism -- The return of Leibnizian logic in the nineteenth century : from Boole to Heyting; Hegel among the new Leibnizians : judgments -- Hegel beyond the new Leibnizians : syllogisms -- Conclusion : the God at the terminus of Hegel's logic "Supporters of G.W.F. Hegel's philosophy have largely shied away from relating his logic to modern symbolic or mathematical approaches. While it has predominantly been the non-Greek discipline of algebra that has informed modern mathematical logic, philosopher Paul Redding argues that the approaches of Plato and Aristotle to logic were deeply shaped by the arithmetic and geometry of classical Greek culture. And by ignoring the fact that Hegel's logic also has this deep mathematical dimension, conventional Hegelians have missed some of Hegel's greatest insights. In Conceptual Harmonies, Redding develops an account of Hegel's logic against a classical and modern historical background that is rarely considered. He stresses Hegel's attention to the Platonic background of Aristotle's original syllogistic and beyond. He then links these Platonic elements to Leibniz's modern revitalization of the logical tradition and then to new forms of algebraic geometry emerging in Hegel's lifetime. Redding thereby reestablishes aspects of Hegel's philosophy that are essential if Hegel is to be taken as a thinker relevant not only to contemporary philosophy, but also to current philosophical conceptions of logic"-- Hegel, Georg Wilhelm Friedrich 1770-1831 (DE-588)118547739 gnd rswk-swf Hegel, Georg Wilhelm Friedrich 1770-1831 Wissenschaft der Logik (DE-588)4113863-6 gnd rswk-swf Logik (DE-588)4036202-4 gnd rswk-swf Hegel, Georg Wilhelm Friedrich / 1770-1831 Hegel, Georg Wilhelm Friedrich / 1770-1831 / Sources Logic Logic / History Mathematics, Greek History / Sources History Hegel, Georg Wilhelm Friedrich 1770-1831 (DE-588)118547739 p Logik (DE-588)4036202-4 s DE-604 Hegel, Georg Wilhelm Friedrich 1770-1831 Wissenschaft der Logik (DE-588)4113863-6 u Digitalisierung BSB München - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034326668&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Redding, Paul 1948- Conceptual harmonies the origins and relevance of Hegel's logic Introduction -- Beginning: Hegel's classicisim. Logic Mathematics, and philosophy in fourth-century Athens -- Hegel and the Platonic origins of Aristotle's syllogistic -- The general significance of Neoplatonic harmonic theory for Hegel's account of magnitude -- Middle: Classical meets modern. Geometry and philosophy in Hegel, Schelling, Carnot and Grassmann -- The role of analysis situs in Leibniz's modernization of logic -- Hegel's supersession of Leibniz and Newton : the limitations of calculus and logical calculus -- End: The modern as redetermined classical. Exploiting resources within Aristotle for the rehabilitation of the syllogism -- The return of Leibnizian logic in the nineteenth century : from Boole to Heyting; Hegel among the new Leibnizians : judgments -- Hegel beyond the new Leibnizians : syllogisms -- Conclusion : the God at the terminus of Hegel's logic Hegel, Georg Wilhelm Friedrich 1770-1831 (DE-588)118547739 gnd Hegel, Georg Wilhelm Friedrich 1770-1831 Wissenschaft der Logik (DE-588)4113863-6 gnd Logik (DE-588)4036202-4 gnd |
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| title | Conceptual harmonies the origins and relevance of Hegel's logic |
| title_alt | Origins and relevance of Hegel's logic |
| title_auth | Conceptual harmonies the origins and relevance of Hegel's logic |
| title_exact_search | Conceptual harmonies the origins and relevance of Hegel's logic |
| title_exact_search_txtP | Conceptual harmonies the origins and relevance of Hegel's logic |
| title_full | Conceptual harmonies the origins and relevance of Hegel's logic Paul Redding |
| title_fullStr | Conceptual harmonies the origins and relevance of Hegel's logic Paul Redding |
| title_full_unstemmed | Conceptual harmonies the origins and relevance of Hegel's logic Paul Redding |
| title_short | Conceptual harmonies |
| title_sort | conceptual harmonies the origins and relevance of hegel s logic |
| title_sub | the origins and relevance of Hegel's logic |
| topic | Hegel, Georg Wilhelm Friedrich 1770-1831 (DE-588)118547739 gnd Hegel, Georg Wilhelm Friedrich 1770-1831 Wissenschaft der Logik (DE-588)4113863-6 gnd Logik (DE-588)4036202-4 gnd |
| topic_facet | Hegel, Georg Wilhelm Friedrich 1770-1831 Hegel, Georg Wilhelm Friedrich 1770-1831 Wissenschaft der Logik Logik |
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