About the course
The origins of set theory are in Georg Cantor's works from the second half of the 19th century. Although he certainly was not the inventor of sets as collections of objects, he was the first (with the notable exception of the Czech mathematician Bernard Bolzano) to envisage an infinite set as an object in its own right. As we shall see in the course, the new approach brought about certain difficulties, and the time just after 1900, with the discovery of several contradictory statements in set theory, was one of crisis for the whole of mathematics. Probably the most successful attempt at a resolution of the crisis was the Zermelo-Fraenkel set theory, which is the main subject of this course.