Candy: The set 'C' representing all complex numbers is denoted by a
script capital C. As are Z,R,W etc for integer, real, rationals. This would differentiate it from another set, 'C'. (I'm sure that letter must have been used multiple times in set theory).
Quote:
Aleph-null (\aleph_0) is by definition the cardinality of the set of all natural numbers
The cardinality of the set of all natural numbers - must mean that aleph-null is some form of infinity then... :S
[EDIT]
Quote:
the aleph numbers are a sequence of numbers used to represent the cardinality (or size) of infinite sets.
I really should STFW before I post...
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As crazed said, it is an open problem whether the cardinality of the set of all real numbers > that of the set of all natural numbers. Is one infinity bigger than another?
JamesM