Zermelo set theory
Zermelo set theory noun: an early and influential axiomatisation of set theory.
Noun
Zermelo set theory
- An early and influential axiomatisation of set theory.
- The system can be claimed to transcend certain critical limitations of predicative analysis and certain awkwardness of known nominalistic approaches to mathematics at once, and would seem to provide a well-motivated alternative to Zermelo set theory as a framework for scientifically applicable...1998, Geoffrey Hellman, 8: Beyond Definitionism—But Not Too Far Beyond, Matthias Schirn (editor), 2003, Paperback, The Philosophy of Mathematics Today, Oxford University Press (Clarendon Press), page...
- According to the great logician Alonzo Church, in spite of superficial differences, these two "widely accepted symbolic systems," Zermelo set theory and simple type theory, are "in their currently accepted forms essentially similar" [1939, 69-70].2001, José Ferreirós, Labyrinth of Thought: A History of Set Theory and Its Role in Modern Mathematics, Springer (Birkhäuser), page 338
Forms of Zermelo set theory
| alternative form | Zermelo's set theory |
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Origin of Zermelo set theory
After German mathematician Ernst Zermelo, who introduced the theory in a paper in 1908.
Questions about Zermelo set theory
- What does Zermelo set theory mean?
- Zermelo set theory means an early and influential axiomatisation of set theory.
- What part of speech is Zermelo set theory?
- Zermelo set theory is a noun.
Words near Zermelo set theory in the dictionary
Source and license
Adapted from Wiktionary: Zermelo set theory (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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