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history-page45 - matical thought one of the most beautiful...

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Reaction Kronecker, Cantor’s advisor, was extremely conservative on these issues, at times denying the existence of irrational numbers. Cantor felt that Kronecker hindered his work on sets. Poincaré (1908): “Later generations will regard set theory as a disease from which one has recovered.” Hilbert (1926): “[Cantor’s transFnite arithmetic is] the most astonishing product of mathe-
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Unformatted text preview: matical thought, one of the most beautiful realizations of human activity in the domain of the purely intelligible. . . . No one shall expel us from the paradise which Cantor created for us .” • It can be plausibly argued that set theory is the basis for the vast majority of modern math-ematics....
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