Washington, 1938 & 1939. Royal8vo. 2 volumes, uniformly bound in contemporary full cloth with gilt lettering to spine. Exlibris to front paste down. In "Proceedings of the National Academy of Science", vol. 24 and 25. Fine and clean. Pp.556-57" Pp. 220-24). [Entire volumes: VII, 572 pp. VII, 661 pp]. First edition of arguable G�del's most important publications only second to his incompleteness theorem. The first problem of Hilbert's famous 1900 address asks for a proof of Cantor's continuum hypothesis. Hilbert considered this problem one of the most important problems confronting the mathematical world. As a first step towards such a proof Ernst Zermelo proved in 1904 another hypothesis by Cantor, namely that every set can be well ordered. In his proof Zermelo introduced a necessary tool which later became known as the axiom of choice. Because of its non-constructive nature this axiom, and the continuum hypothesis, became the object of much controversy in the mathematical community. G�del's results on this topic are, besides his completeness and incompleteness theorems, his most celebrated. During the autumn terms of 1938 and 1939 G�del delivered a series of lectures at the Institute for Advanced Study, in which he proved that the axiom of choice and the generalized continuum hypothesis are consistent with the other axioms of set theory if these axioms are consistent. Seller Inventory # 58791

Contact seller

Report this item

Bibliographic Details

Title: The Consistency of the Axiom of Choice and ...

Binding: Soft cover

Edition: 1st Edition

Store Description

Herman H. J. Lynge & S�n A/S was founded in 1821 and is the oldest antiquarian bookseller in Scandinavia. We specialize mainly in important and rare books in all fields of Science and the Humanities.

Visit Seller's Storefront

Association Member

Members of these associations are committed to maintaining the highest standards. They vouch for the authenticity of all items offered for sale. They provide expert and detailed descriptions, disclose all significant defects and/or restorations, provide clear and accurate pricing, and operate with fairness and honesty during the purchase experience.

Seller's business information

Herman H. J. Lynge & S�n A/S
Silkegade 11, Copenhagen, 1113, Denmark

Terms of Sale:

For sales inside The European Community: VAT (Value Added Tax) of 25% must be
added, unless we are provided with a registered VAT-no.
Books exported to countries outside The European Community are free of VAT.

Shipping Terms:

Shipping costs are based on books weighing 2.2 LB, or 1 KG. If your book order is heavy or oversized, we may contact you to let you know extra shipping is required.

Payment Methods
accepted by seller

PayPal Bank/Wire Transfer

Add to Wants