Book contents
- The Cambridge Companion to Ancient Logic
- Other Volumes in the Series of Cambridge Companions
- The Cambridge Companion to Ancient Logic
- Copyright page
- Contents
- Contributors
- Introduction
- I The Development of Logic in Antiquity
- II Key Themes
- 5 Truth as a Logical Property and the Laws of Being True
- 6 Definition
- 7 Terms and Propositions
- 8 Validity and Syllogism
- 9 Demonstration
- 10 Modalities and Modal Logic
- 11 Fallacies and Paradoxes
- 12 Logic in Ancient Rhetoric
- 13 Ancient Logic and Ancient Mathematics
- III The Legacy of Ancient Logic
- Bibliography
- Abbreviations
- Index of Passages
- General Index
- Other Volumes in the Series of Cambridge Companions
13 - Ancient Logic and Ancient Mathematics
from II - Key Themes
Published online by Cambridge University Press: 29 April 2023
- The Cambridge Companion to Ancient Logic
- Other Volumes in the Series of Cambridge Companions
- The Cambridge Companion to Ancient Logic
- Copyright page
- Contents
- Contributors
- Introduction
- I The Development of Logic in Antiquity
- II Key Themes
- 5 Truth as a Logical Property and the Laws of Being True
- 6 Definition
- 7 Terms and Propositions
- 8 Validity and Syllogism
- 9 Demonstration
- 10 Modalities and Modal Logic
- 11 Fallacies and Paradoxes
- 12 Logic in Ancient Rhetoric
- 13 Ancient Logic and Ancient Mathematics
- III The Legacy of Ancient Logic
- Bibliography
- Abbreviations
- Index of Passages
- General Index
- Other Volumes in the Series of Cambridge Companions
Summary
Greek mathematics may not have been unique, among the ancient mathematical traditions, in its very use of proof (in the last generation, Høyrup and Chemla have shown the role of proof in the Babylonian and Chinese mathematical traditions, respectively1). But in no other ancient mathematical tradition was proof so explicit and foregrounded. Other mathematical civilisations proved: Greeks did so self-consciously.
- Type
- Chapter
- Information
- The Cambridge Companion to Ancient Logic , pp. 283 - 298Publisher: Cambridge University PressPrint publication year: 2023