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onsecutive powers or cardinalities. His interests thereafter shifted from the theory of pointsets to that of ordered sets, and by 1885 he had conceived of a general theory of order types (i.e., types of totally ordered sets). Thus he finally arrived at a general, abstract analysis of sets based on t

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Jan Gresil S. Kahambingributions of Cantor and Dedekind, and the complex interactions between them. Part 3, In Search of an Axiom System, studies the four-decade period from the discovery of set-theoretic paradoxes to G?del’s independence results, an era during which set theory gradually became assimilated into mainstream mathemati978-3-7643-8349-7978-3-7643-8350-3

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int. Cantor’s abstract viewpoint and the notion of power only became clear with his second paper [1878], which makes several references to the first one in order to place it in a new light [.., 120, 126]. Cantor even felt the need to reformulate his 1874 proof five years later [Cantor 1879/84, part

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