Zermelo s1930e

pp. 444-453

in: Ernst Zermelo, Set theory, miscellanea / Mengenlehre, varia, Berlin, Springer, 2010

Abstract

In this note found in the Nachlass, Zermelo describes his ideas in 1930 on the construction of a model of set theory and, with it, the consistency of set theory. As such, the note provides details on the first two topics that Zermelo had listed in the appendix, "Synopsis of further investigations currently in preparation", of his report s1930d to the Notgemeinschaft der Deutschen Wissenschaft for the continuation of his fellowship into 1931. There are five carefully typed pages, the first four comprising a section "§ 1. The construction of the model" and dated 30 September 1930, and the last "On closed and open domains". At least the first four pages were probably intended to be at the beginning of a publication.