David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Journal of Philosophical Logic 7 (1):307 - 329 (1978)
What gave rise to Ernst Zermelo's axiomatization of set theory in 1908? According to the usual interpretation, Zermelo was motivated by the set-theoretic paradoxes. This paper argues that Zermelo was primarily motivated, not by the paradoxes, but by the controversy surrounding his 1904 proof that every set can be wellordered, and especially by a desire to preserve his Axiom of Choice from its numerous critics. Here Zermelo's concern for the foundations of mathematics diverged from Bertrand Russell's on the one hand and from Felix Hausdorff's on the other
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Volker Peckhaus (1990). 'Ich Habe Mich Wohl Gehütet, Alle Patronen Auf Einmal Zu Verschießen'. Ernst Zermelo in Göttingen. History and Philosophy of Logic 11 (1):19-58.
Similar books and articles
R. Gregory Taylor (2002). Zermelo's Cantorian Theory of Systems of Infinitely Long Propositions. Bulletin of Symbolic Logic 8 (4):478-515.
Agustin Rayo (1999). Toward a Theory of Second-Order Consequence. Notre Dame Journal of Formal Logic 40 (3):315-325.
Heinz-Dieter Ebbinghaus (2003). Zermelo: Definiteness and the Universe of Definable Sets. History and Philosophy of Logic 24 (3):197-219.
Michael Rathjen (2005). The Disjunction and Related Properties for Constructive Zermelo-Fraenkel Set Theory. Journal of Symbolic Logic 70 (4):1233 - 1254.
Gregory H. Moore (1980). Beyond First-Order Logic: The Historical Interplay Between Mathematical Logic and Axiomatic Set Theory. History and Philosophy of Logic 1 (1-2):95-137.
A. R. D. Mathias (2001). Slim Models of Zermelo Set Theory. Journal of Symbolic Logic 66 (2):487-496.
J. Todd Wilson (2001). An Intuitionistic Version of Zermelo's Proof That Every Choice Set Can Be Well-Ordered. Journal of Symbolic Logic 66 (3):1121-1126.
Added to index2009-01-28
Total downloads30 ( #57,138 of 1,099,003 )
Recent downloads (6 months)1 ( #287,293 of 1,099,003 )
How can I increase my downloads?