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1 results

  • 5 - Deduction in Mathematics and Dialectic in Ancient Greece

  • from Part II - The History of Deduction
  • Catarina Dutilh Novaes, Vrije Universiteit, Amsterdam
  • Book:
    The Dialogical Roots of Deduction
    Published online:
    10 December 2020
    Print publication:
    17 December 2020, pp 87-107

  • 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.