Book contents
- A New History of Greek Mathematics
- A New History of Greek Mathematics
- Copyright page
- Dedication
- Contents
- Plates
- Preface
- Acknowledgments
- Chapter 1 To the Threshold of Greek Mathematics
- Chapter 2 The Generation of Archytas
- Chapter 3 The Generation of Archimedes
- Chapter 4 Mathematics in the World
- Chapter 5 Mathematics of the Stars
- Chapter 6 The Canonization of Greek Mathematics
- Chapter 7 Into Modern Science: The Legacy of Greek Mathematics
- Epilogue: Bringing to the Boil
- Index
Chapter 2 - The Generation of Archytas
Published online by Cambridge University Press: 01 September 2022
- A New History of Greek Mathematics
- A New History of Greek Mathematics
- Copyright page
- Dedication
- Contents
- Plates
- Preface
- Acknowledgments
- Chapter 1 To the Threshold of Greek Mathematics
- Chapter 2 The Generation of Archytas
- Chapter 3 The Generation of Archimedes
- Chapter 4 Mathematics in the World
- Chapter 5 Mathematics of the Stars
- Chapter 6 The Canonization of Greek Mathematics
- Chapter 7 Into Modern Science: The Legacy of Greek Mathematics
- Epilogue: Bringing to the Boil
- Index
Summary
We will survey the early history of Greek mathematics through two generational events: this chapter, “The Generation of Archytas,” followed by the next chapter, “The Generation of Archimedes.” This is a substantive claim: Greek cultural life was generally organized by such isolated, generational events. This is the claim of the first section, “The Hypothesis of Generational Events.” Following this general historical statement, the section “What Little We Know” surveys the evidence for Greek mathematics in the first half of the fourth century.
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- A New History of Greek Mathematics , pp. 53 - 106Publisher: Cambridge University PressPrint publication year: 2022