Pythagoras revived : mathematics and philosophy in late antiquity.

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This title examines the Pythagorean idea that number is the key to understanding reality, describing first the Pythagorean interests of Platonists in the second and third centuries and then Iamblichus's programme to Pythagoreanize Platonism in the fourth century in his work 'On Pythagorean...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: O'Meara, Dominic J.
Autor Corporativo: Oxford University Press
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Oxford : Oxford University Press, 1990.
Temas:
Pythagoras and Pythagorean school.
Mathematics > Philosophy > History.
Pythagorisme.
Mathématiques > Philosophie > Histoire.
Mathematics > Philosophy
Pythagoras and Pythagorean school
History
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preface
  • Table of Contents
  • Introduction
  • Part I: The Revival Of Pythagoreanism In the Neoplatonic School
  • 1. Varieties of Pythagoreanism in the Second and Third Centuries AD
  • 1. Numenius of Apamea
  • 2. Nicomachus of Gerasa
  • 3. Anatolius
  • 4. Porphyry
  • 2. Iamblichus' Work On Pythagoreanism: Title, Plan, the First Four Books
  • 1. The Title and Overall Plan
  • 2. Pythagoras (Book I: On the Pythagorean Life)
  • 3. Pythagorean Philosophy (Book II: the Protreptic)
  • 4. Pythagorean Mathematical Science (Book III: On General Mathematical Science)
  • 5. Arithmetic (Book IV: On Nicomachus' Arithmetical Introduction)3. On Pythagoreanism Vâ€?VII: The Excerpts in Michael Psellus
  • 1. Michael Psellus, Philosophical Excerptor
  • 2. Psellus' Excerpts from On Pythagoreanism Vâ€?VII
  • 3. On Pythagoreanism V
  • 4. On Pythagoreanism VI
  • 5. On Pythagoreanism VII
  • 4. Iamblichus' Work On Pythagoreanism: General Conclusions
  • 1. On Pythagoreanism: A Brief Review
  • 2. The Relation of On Pythagoreanism to Iamblichus' Other Works and Interests
  • 3. Iamblichean Pythagoreanism and its Predecessors
  • Part II: Iamblichean Pythagoreanism In the Athenian School5. Hierocles
  • 1. The Introduction of Iamblichean Philosophy at Athens in the Fourth Century
  • 2. Hierocles on the History of Philosophy
  • 3. Pythagoreanism in Hierocles' Commentary on the Golden Verses
  • 4. Conclusion
  • 6. Syrianus
  • 1. The History of Philosophy in Syrianus
  • 2. Philosophy as Revelation in Hermias' Commentary on the Phaedrus
  • 3. Mathematics and Philosophy in Syrianus' Commentary on the Metaphysics
  • 7. Proclus: Some Preliminary Issues
  • 1. The Rivalry with the Mathematician Domninus of Larissa2. Plato and Pythagoras
  • 3. The Theory of Superior Souls
  • 4. Learning, Discovery, and Revelation
  • 8. Proclus on Mathematics
  • 1. General Mathematics
  • 2. Arithmetic and (or?) Geometry
  • 3. Geometry
  • 4. Conclusions
  • 9. Mathematics and Physics in Proclus
  • 1. Aristotle's Physics Geometricized
  • 2. Plato's Timaeus as â€?Pythagoreanâ€? Physics
  • 3. The Geometrical Method of Plato's Physics
  • 4. Is Physics a Science?
  • 5. The Application of Mathematical Truths in Physics
  • 6. Concluding Comment10. Mathematics and Metaphysics in Proclus
  • 1. The Elements of Theology: A Geometrical Metaphysics?
  • 2. The Science of Dialectic
  • 3. Mathematical Theology and Dialectic
  • 4. Concluding Comment
  • Conclusion
  • Appendices
  • I. The Excerpts from Iamblichus' On Pythagoreanism Vâ€?VII in Psellus: Text, Translation, and Notes
  • II. The Arabic Commentaries on the Golden Verses attributed to Iamblichus and Proclus
  • Bibliography
  • 1. Ancient Authors
  • 2. Modern Authors
  • Index
  • A
  • B
  • C
  • D
  • E
  • F
  • G
  • H

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