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Realizing reason : a narrative of truth and knowing /
Danielle Macbeth offers a new account of mathematical practice as a mode of inquiry into objective truth, and argues that understanding the nature of mathematical practice provides us with the resources to develop a radically new conception of ourselves and our capacity for knowledge of objective tr...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford, England :
Oxford University Press,
2014.
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| Edición: | First edition. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- ""Cover""; ""Realizing Reason: A Narrative of Truth and Knowing""; ""Copyright""; ""Dedication""; ""Preface""; ""Acknowledgements""; ""Contents""; ""Introduction""; ""This has not happened""; ""Perception""; ""1: Where We Begin""; ""1.1 The Limits of Cartesianism""; ""1.2 Biological Evolution and the Concept of Life""; ""1.3 The Emergence of Human Culture and Social Significances""; ""1.4 The World in View""; ""1.5 The Nature of Natural Language""; ""1.6 Conclusion""; ""2: Ancient Greek Diagrammatic Practice""; ""2.1 Some Preliminary Distinctions""; ""2.2 Euclid�s Constructions""
- ""2.3 Propaedeutic to the Practice""""2.4 Generality in Euclid�s Demonstrations""; ""2.5 Diagrammatic Reasoning in the Elements""; ""2.6 Ancient Greek Philosophy of Mathematics""; ""2.7 Conclusion""; ""3: A New World Order""; ""3.1 The Clockwork Universe""; ""3.2 Vie`te�s Analytical Art""; ""3.3 Mathesis Universalis""; ""3.4 The Order of Things""; ""3.5 Descartes� Metaphysical Turn""; ""3.6 Conclusion""; ""Understanding""; ""4: Kant�s Critical Turn""; ""4.1 The Nature of Mathematical Practice""; ""4.2 An Advance in Logic""; ""4.3 Kant�s Transcendental Logic""
- ""4.4 The Forms of Judgment""""4.5 Kant�s Metaphysics of Judgment""; ""4.6 The Limits of Reflection""; ""4.7 Conclusion""; ""5: Mathematics Transformed, Again""; ""5.1 Intuition Banished""; ""5.2 Constructions Banished""; ""5.3 The Peculiar Purity of Modern Mathematics""; ""5.4 Prospects for the Philosophy of Mathematics""; ""5.5 Conclusion""; ""6: Mathematics and Language""; ""6.1 Quantifiers in Mathematical Logic""; ""6.2 The Model-Theoretic Conception of Language""; ""6.3 Meaning and Truth""; ""6.4 The Role of Writing in Mathematical Reasoning""
- ""6.5 The Leibnizian Ideal of a Universal Language""""6.6 Conclusion""; ""Reason""; ""7: Reasoning in Frege�s Begriffsschrift""; ""7.1 The Idea of a Begriffsschrift""; ""7.2 The Basics""; ""7.3 A Second Pass Through""; ""7.4 Seeing How It Really Goes""; ""7.5 Conclusion""; ""8: Truth and Knowledge in Mathematics""; ""8.1 What We Have Seen""; ""8.2 The Science of Mathematics""; ""8.3 The Nature of Ampliative Deductive Proof""; ""8.4 Frege�s Logical Advance""; ""8.5 The Achievement of Reason""; ""8.6 Conclusion""; ""9: The View from Here""; ""9.1 Einstein�s Revolutionary Physics""
- 9.2 The Quantum Revolution9.3 Completing the Project of Modernity
- 9.4 Conclusion
- Afterword
- Bibliography
- Name Index
- Subject Index