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101 Years of Modern Set Theory: Felix Hausdorff's "Foundations of Set Theory"

Presented by: 
P Koepke Universität Bonn
Date: 
Monday 24th August 2015 - 10:00 to 11:00
Venue: 
INI Seminar Room 1
Abstract: 
Felix Hausdorff's 1914 monograph "Grundzüge der Mengenlehre" (Foundations of Set Theory) marks the beginning of modern set theory:

- it is the first comprehensive presentation of set theory as a mature and rich mathematical field, untroubled by philosophical worries about infinity and paradoxes;

- it introduces fundamental notions and theories that have been crucial for the further development of set theory and its applications, notably the axioms for topological spaces;

- even today, a considerable part of research in set theory has direct links to Hausdorff's work.

In my talk I shall describe Hausdorff's book and locate it in the history of set theory. I shall also present his views on the foundations of mathematics and set theory.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons