Set Theory Hausdorff, Felix Mathematics

8vo (23.5 cm), 352 pp. Publisher's cloth, gilt-lettered spines (bindings slightly rubbed, number on the front free endpaper, canceled stamp of a mathematical institution verso of the title page). Second edition translated into English by John R. Aumann of a book by the German mathematician Felix Hausdorff (1868-1942). It presents his research on the theory of sets, focusing particularly on the development of a formal axiomatic system for set theory. Hausdorff's work on set theory was significant in shaping modern mathematics and establishing its foundations. In the book, he delves into properties of sets, the nature of set operations, and the importance of axiomatic systems in comprehending these phenomena. Furthermore, Hausdorff introduces the concept of cardinality, which serves as a measure of the size of sets. "A very rare case in mathematical literature: the foundations of a new discipline are laid without the support of any previously published comprehensive work" (DSB VI, p.176).