Book contents
- The Dialogical Roots of Deduction
- The Dialogical Roots of Deduction
- Copyright page
- Contents
- Figures
- Preface
- Part I The Philosophy of Deduction
- Part II The History of Deduction
- 5 Deduction in Mathematics and Dialectic in Ancient Greece
- 6 Aristotle’s Syllogistic and Other Ancient Logical Traditions
- 7 Logic and Deduction in the Middle Ages and the Modern Period
- Part III Deduction and Cognition
- References
- Index
5 - Deduction in Mathematics and Dialectic in Ancient Greece
from Part II - The History of Deduction
Published online by Cambridge University Press: 10 December 2020
- The Dialogical Roots of Deduction
- The Dialogical Roots of Deduction
- Copyright page
- Contents
- Figures
- Preface
- Part I The Philosophy of Deduction
- Part II The History of Deduction
- 5 Deduction in Mathematics and Dialectic in Ancient Greece
- 6 Aristotle’s Syllogistic and Other Ancient Logical Traditions
- 7 Logic and Deduction in the Middle Ages and the Modern Period
- Part III Deduction and Cognition
- References
- Index
Summary
This chapter examines the historical roots of deduction in Ancient Greek philosophy and mathematics. It relies extensively on the work of G.E.R. Lloyd and Reviel Netz to argue that dialogical debating practices in a democratic city-state like Athens were causally instrumental for the emergence of the axiomatic-deductive method in mathematics. The same sociocultural political background was decisive for the emergence of practices of dialectic, the kinds of dialogical interactions famously portrayed in Plato’s dialogues. In turn, dialectic provided the background for the emergence of the first fully-fledged theory of deduction in history, namely Aristotle’s syllogistic.
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- The Dialogical Roots of DeductionHistorical, Cognitive, and Philosophical Perspectives on Reasoning, pp. 87 - 107Publisher: Cambridge University PressPrint publication year: 2020