101 Years of Modern Set Theory: Felix Hausdorff's "Foundations of Set Theory"
Duration: 58 mins 34 secs
| Description: |
Koepke, P (Universität Bonn)
Monday 24 August 2015, 10:00-11:00 |
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| Created: | 2015-08-25 17:49 |
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| Collection: | Mathematical, Foundational and Computational Aspects of the Higher Infinite |
| Publisher: | Isaac Newton Institute |
| Copyright: | Koepke, P |
| Language: | eng (English) |
| 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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