In Cantor's mind there were an infinite number of infinities-the transfinite numbers-each nested in the other. Aleph 0 is smaller than Aleph 1, which is smaller than Aleph 2, which is smaller than Aleph 3, and so forth. At the top of the chain sits the ultimate infinity that engulfs all other infinities: God, the infinity that defies all comprehension.
( Charles Seife )
[ Zero: The Biography of a ]
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