Cantor was Right!
- From: "Frank J. Lhota" <NOSPAM.lhota@xxxxxxxxxxx>
- Date: Mon, 23 May 2005 21:08:29 GMT
Cantor's diagonalization proof correctly shows that there are more real numbers than natural numbers. The reason why no one has produced a 1 to 1 mapping between the natural numbers and real numbers is that it cannot be done.
There really is a hierarchy of infinite cardinals. The infinite cardinals Aleph_0, Aleph_1, etc. really do exist, and in fact the class of all infinite cardinals form a proper class. The vast majority of logicians really do know what they are talking about. Cantor is right!
Far too many threads on this newsgroup start with spurious attacks on Cantor. It is high time that we have a thread that starts with the truth.
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