Cantor's paradise

Cantor's paradise is an expression used by David Hilbert 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.

References

• Ferreirós, José (2008). Labyrinth of Thought: A History of Set Theory and Its Role in Modern Mathematics (2nd revised ed.). Basel: Birkhäuser. ISBN 3-7643-8350-X. Zbl 1119.03044.
• Saharon Shelah. You can enter Cantor's paradise! Paul Erdős and his mathematics, II (Budapest, 1999), 555–564, Bolyai Soc. Math. Stud., 11, János Bolyai Math. Soc., Budapest, 2002.