Zermelo: definiteness and the universe of definable sets

History and Philosophy of Logic 24 (3):197-219 (2003)
Using hitherto unpublished manuscripts from the Zermelo Nachlass, I describe the development of the notion of definiteness and the discussion about it, giving a conclusive picture of Zermelo's thoughts up to the late thirties. As it turns out, Zermelo's considerations about definiteness are intimately related to his concept of a Cantorian universe of categorically definable sets that may be considered an inner model of set theory in an ideationally given universe of classes
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DOI 10.1080/0144534031000124134
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Akihiro Kanamori (2004). Zermelo and Set Theory. Bulletin of Symbolic Logic 10 (4):487-553.
R. Gregory Taylor (2009). Zermelo's Analysis of 'General Proposition'. History and Philosophy of Logic 30 (2):141-155.

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