There are two kinds of transfinite numbers, ordinal and cardinal.
The lowest transfinite number ordinal number is ω.
The first transfinite cardinal number is alephnull[?], the cardinality of the infinite set of the integers. The next highest cardinal number is alephone[?].
The continuum hypothesis states that there are no intermediate cardinal numbers between alephnull and the cardinality of the real numbers (the "continuum"): that is to say, that alephone is the same as the cardinality of the real numbers.
In both the cardinal and ordinal number systems, the transfinite numbers can keep on going forever, with progressively more bizarre kinds of number.
Beyond all these, Georg Cantor's conception of the Absolute Infinite surely represents the absolute largest possible concept of "large number".
See also:
Search Encyclopedia

Featured Article
