Skip to main content

Zermelo 1929a

On the concept of definiteness in axiomatics

Über den Begriff der Definitheit in der Axiomatik

  • Chapter
Ernst Zermelo - Collected Works/Gesammelte Werke

Abstract

Zermelo’s 1929a, the first set-theoretic paper to appear after a break of more than 20 years, is a reaction against criticism of his 1908 notion of definiteness. The paper provoked a swift response by Thoralf Skolem, 1930, a response which had a strong impact on Zermelo’s foundational views in the 1930s. In the following we first describe the range and nature of the criticism. We then comment on the paper, and in the concluding section we discuss the impact of Skolem’s response.

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

Access this chapter

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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Ebbinghaus, HD. (2010). Zermelo 1929a. In: Ebbinghaus, HD., Fraser, C., Kanamori, A. (eds) Ernst Zermelo - Collected Works/Gesammelte Werke. Schriften der Mathematisch-naturwissenschaftlichen Klasse der Heidelberger Akademie der Wissenschaften, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79384-7_15

Download citation

Publish with us

Policies and ethics