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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

Catarina Dutilh Novaes
Affiliation:
Vrije Universiteit, Amsterdam
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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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Chapter
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The Dialogical Roots of Deduction
Historical, Cognitive, and Philosophical Perspectives on Reasoning
, pp. 87 - 107
Publisher: Cambridge University Press
Print publication year: 2020

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