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

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
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-
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

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....
View Full Document

This note was uploaded on 12/29/2011 for the course MATH 378 taught by Professor Wen during the Fall '10 term at SUNY Stony Brook.

Ask a homework question - tutors are online