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Article
The Motives behind Cantor's Set Theory – Physical, Biological, and Philosophical Questions
(2004)
The celebrated “creation” of transfinite set theory by Georg Cantor has been studied in detail by historians of mathematics. However, it has generally been overlooked that his research program cannot be adequately explained ...
Article
Traditional logic and the early history of sets, 1854–1908
(Springer, 1996)
Article
Hilbert, logicism, and mathematical existence
(Springer, 2009)
David Hilbert’s early foundational views, especially those corresponding to the 1890s, are analysed here. I consider strong evidence for the fact that Hilbert was a logicist at that time, following upon Dedekind’s footsteps ...