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It means without limit, a sequence that goes on and on forever.But if you really want to get into it, there are different "levels" of infinity: or infinities with different cardinalities.
differents kinds of sets
kinds of analogy is ........................................................................
Many different kinds means lets say an apple and a orange are not the same but it is DIFFERENT
It's the number of mappings, *or* he number of available objects to map something to, *or*...See also http://en.wikipedia.org/wiki/Cardinality