Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-29T12:17:14.839Z Has data issue: false hasContentIssue false
  • English
  • Français

Full classes and ordinals

Published online by Cambridge University Press:  12 March 2014

Sherman K. Stein
Sherman K. Stein*
Affiliation:
University of California at Davis
Get access Rights & Permissions [Opens in a new window]

Extract

Full classes, which play such a crucial role in various definitions of the ordinals, seem not to have been studied on their own right. We shall discuss here some properties of full classes and provide new criteria for distinguishing the ordinals among the full classes.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 25 , Issue 3 , September 1960 , pp. 217 - 219
Copyright
Copyright © Association for Symbolic Logic 1960

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1]Bernays, P., A system of axiometric set theory, Part II, this Journal, vol. 6 (1941), pp. 1–17.Google Scholar
[2]Gödel, K., The consistency of the continuum hypothesis, Princeton, 1940.CrossRefGoogle Scholar
[3]Isbell, J. R., A definition of ordinal numbers, American Mathematical Monthly, vol. 67 (1960), pp. 51–52.Google Scholar
[4]Kelley, J. L., General Topology, New York, 1955.Google Scholar
[5]Robinson, R. M., The theory of classes, this Journal, vol. 2 (1937), pp. 29–36.Google Scholar