Skip to main content
SpringerLink
Log in

On The Role of Axiomatic Method in the Development of Ancient Mathematics

  • Chapter
Theory Change, Ancient Axiomatics, and Galileo’s Methodology

Part of the book series: Synthese Library ((SYLI,volume 145))

  • 155 Accesses

Abstract

Scholars frequently consider the introduction of the axiomatic method and the deductive construction of mathematical theories in Ancient Greece as one of the greatest achievement of ancient thought. As is seen from the materials presented at the present conference, such an approach is viewed by the majority of participants as obvious, as a certain axiom, and the only points moot are various interpretations of the appearance and the early history of this method. The axiomatic method is regarded as typical of the general aspect of the scientific thinking of that time.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Knorr, W.: ‘On the early history of axiomatics,’ above pp. 145–186.

    Google Scholar 

  2. Bourbaki, N.: 1969, Eléments d’histoire des mathématiques, Hermann, Paris.

    Google Scholar 

  3. Yanovskaya, S.A.: 1972, S.A.: 1972, ‘On the history of axiomatics’, in: S.A. Yanovskaya, Methodological Problems of Science, Publ. House “Mysl”, Moscow, pp. 150–180.

    Google Scholar 

  4. Neugebauer, O.: 1968, The Exact Sciences in Antiquity, Publ. House “Fizmatigiz”, Moscow.

    Google Scholar 

  5. Yushkevich, A.P., (ed.): 1970, The History of Mathematics Vol. 1, Publishing House “Nauka”, Moscow.

    Google Scholar 

  6. Hilbert, D.: 1930, Uber das Zahlbegriff’, in Grundlagender der Geometrie, Teubner, Leipzig u. Berlin, pp. 241–46.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Academy of Science of USSR, Russia

    F. A. Medvedev

Authors
  1. F. A. Medvedev
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Dept. of Philosophy, Florida State University, Tallahassee, USA

    Jaakko Hintikka  & David Gruender  & 

  2. Dept. of Philosophy, University of Genoa, Italy

    Evandro Agazzi

Rights and permissions

Reprints and permissions

Copyright information

© 1980 D. Reidel Publishing Company

About this chapter

Cite this chapter

Medvedev, F.A. (1980). On The Role of Axiomatic Method in the Development of Ancient Mathematics. 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_15

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-9045-6_15

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-9047-0

  • Online ISBN: 978-94-009-9045-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation