Cantor's paradise
# Cantor's paradise

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   Aus dem Paradies, das Cantor uns geschaffen, soll uns niemand vertreiben können. (From the paradise, that Cantor created for us, no-one shall be able to expel us.)

Hilbert (1926, p. 170), a lecture given in Münster to Mathematical Society of Westphalia on 4 June 1925

Cantor's paradise is an expression used by David Hilbert (1926, page 170) in describing set theory and infinite cardinal numbers developed by Georg Cantor. The context of Hilbert's comment was his opposition to what he saw as L. E. J. Brouwer's reductive attempts to circumscribe what kind of mathematics is acceptable; see Brouwer–Hilbert controversy.

