Abstract
The manner of the origins of deductive method both in philosophy and in mathematics has exercised the thoughts of many notable scholars. Unique to the ancient Greek tradition were conscious efforts to comprehend the process of thinking itself, and these inquiries have since developed into the philosophical subfields of logic, epistemology and axiomatics. At the same time, the pre-Euclidean Greek mathematicians turned to the problem of organizing arithmetic and geometry into axiomatic systems, in effect setting a precedent for the field of mathematical foundations. Did these two movements in the history of thought arise independent of each other, through some extraordinary coincidence? It would appear far more likely that this common adoption of deductive method resulted through interaction between the fields of philosophy and mathematics. But if this is so, to which shall we attribute priority?
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1980 D. Reidel Publishing Company
About this chapter
Cite this chapter
Knorr, W.R. (1980). On The Early History of Axiomatics: The Interaction of Mathematics and Philosophy in Greek Antiquity. In: Hintikka, J., Gruender, D., Agazzi, E. (eds) Theory Change, Ancient Axiomatics, and Galileo’s Methodology. Synthese Library, vol 145. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9045-6_10
Download citation
DOI: https://doi.org/10.1007/978-94-009-9045-6_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-009-9047-0
Online ISBN: 978-94-009-9045-6
eBook Packages: Springer Book Archive