Was there an Eleatic Background to Pre-Euclidean Mathematics?

  • Karel Berka
Part of the Synthese Library book series (SYLI, volume 145)

Abstract

The basic ideas of a recent reconstruction concerned with the origin of deductive mathematics in the 6th and 5th centuries (cp. [9]–[12]) can be summarized briefly as follows: In its very beginning, there existed in Greece only a purely practical, empirical mathematics. The transformation of this empirical mathematics into theoretical mathematics, developed already in the pre-Euclidean period, could be achieved only by means of extra-mathematical reasons. This change, which resulted in the elaboration of Euclid’s Elements, was, in its principal features, determined by the philosophy of two Eleatics: Parmenides and Zeno. Mathematics was, therefore, at least initially, a branch or an inherent part of dialectics.

Keywords

Magnesia 

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Copyright information

© D. Reidel Publishing Company 1980

Authors and Affiliations

  • Karel Berka
    • 1
  1. 1.Czechoslovak Academy of SciencesCzechoslovakia

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