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Transfinite number
A transfinite number is greater than any natural number.
Explanation
The first transfinite cardinal number is 0א. This is the cardinality of all endless sets.
The first transfinite ordinal number is indicated by ω. This is followed by ω + 1, ω + 2, ..., ω + ω = 2ω, 3ω, 4ω, ..., ωω = ω2, ω3, ..., ωω, ....
HistoryThe term transfinite was coined by the German mathematician Georg Cantor (1845 - 1918) to avoid the word infinite. |