Skip to main content Accessibility help
×
Hostname: page-component-76fb5796d-dfsvx Total loading time: 0 Render date: 2024-04-29T16:09:01.744Z Has data issue: false hasContentIssue false

Has the continuumhypothesis been settled?

from RESEARCH ARTICLES

Published online by Cambridge University Press:  30 March 2017

Viggo Stoltenberg-Hansen
Affiliation:
Uppsala Universitet, Sweden
Jouko Väänänen
Affiliation:
University of Helsinki
Get access
Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2006

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] Joan, Bagaria, Bounded forcing axioms as principles of generic absoluteness, Archive for Mathematical Logic, vol. 39 (2000), no. 6, pp. 393–401.Google Scholar
[2] Felix E., Browder (editor),Mathematical developments arising fromHilbert problems, American Mathematical Society, Providence, R.I., 1976.
[3] Paul, Cohen, The independence of the continuum hypothesis, Proceedings of the National Academy of Sciences of the United States of America, vol. 50 (1963), pp. 1143–1148.Google Scholar
[4] Patrick, Dehornoy, Progres recents sur l'hypothese du continu (d'apresWoodin), Seminaire Bourbaki, expose 915, March 2003.
[5] Matthew, Foreman, Ideals and generic embeddings, To appear in the Handbook of Set Theory.
[6] Kurt, Gödel, The consistency of the continuum hypothesis, Annals ofMathematics Studies, vol. 3, Princeton University Press, Princeton, N.J., 1940.
[7] Peter, Koepke, Seminar talk, 2004.
[8] Richard, Laver, An (N2, N2, N0)-saturated ideal on 1, Logic colloquium '80 (Prague, 1980), Stud. Logic Foundations Math., vol. 108, North-Holland, Amsterdam, 1982, pp. 173–180.
[9] Gregory H., Moore, Zermelo's axiom of choice, Studies in the History of Mathematics and Physical Sciences, vol. 8, Springer-Verlag,New York, 1982.
[10] Saharon, Shelah, Cardinal arithmetic, Oxford Logic Guides, vol. 29, The Clarendon Press, Oxford University Press, New York, 1994.
[11] W., Hugh Woodin, The continuum hypothesis. I, Notices of the American Mathematical Society, vol. 48 (2001), no. 6, pp. 567–576.Google Scholar
[12] W., Hugh Woodin, The continuum hypothesis. II, Notices of the American Mathematical Society, vol. 48 (2001), no. 7, pp. 681–690.Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×