Tuesday, December 2, 2008

I named seven names of infinite cardinality

I named seven names of infinite cardinality in the spring 1997:
a, c, f, h, i, b, r, e, s, u....
where f was named by Cantor (the cardinality of power set of real number set), c is the cardinality of continuum (real number set, the power set of natural number set), a that of natural number set.
That is, h is the cardinality of power set of sets with cardinality f, i is that of cardinality h, b is that of cardinality i, r is that of cardinality b, e is that of cardinality r, s is that of cardinality e, u is that of cardinality s.
I have no interest to name more. Maybe you will name them in the future!

The origin of these names of cardinality:
h is the initial of human; i is the initial of Immortal; b is the initial of Buddha.
After many days, I found that h, i, b can be the outset of the word hibernate, which means that these complex entities have not been definitely studied in modern science. Then, the word resuscitate is used as the origin of r, e, s, u , which means that we must study the more complex world in the future!
Welcome to use these names of cardinality in the future study, if you prefer them!

Please the Immortals and Buddhas absolve my misdeed! I am not purposive, just need many names to express my estimation of the complexity of human brain in a infinite edition.

Cantor theorem can see http://eom.springer.de/C/c020260.htm , which is the online edition of Encyclopaedia of Mathematics (Edited by Michiel Hazewinkel).
"Cantor's epochal discovery was that the natural and the real numbers were of different cardinality. More generally, call the set of all subsets of a set S - the power set P(S). By his now-famous diagonalization argument, Cantor showed that P(S) was a higher cardinality than S, that is, P(S) was too numerous to be put into one-to-one correspondence with S."
See "Cantor's Concept of Infinity: Implications of Infinity for Contingence", by THE REVEREND BRUCE A. HEDMAN, Ph.D. : http://www.asa3.org/asa/PSCF/1993/PSCF3-93Hedman.html

Thank you for your comment!

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