| Number Magic |
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| Question : |
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What is a 'Transfinite Cardinal Number' ? |
Answer : |
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A cardinal number of an infinite set is called a Transfinite Cardinal Number.
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The term transfinite was coined by Georg Cantor, who tried to
avoid some of the implications of the word infinite in connection with some objects,
which were nevertheless not finite.
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The set of all points on a line and the set of all points on any segment of a
line are also designated by the transfinite cardinal number c.
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An even larger transfinite number is 2c, which designates the set
of all subsets of the real numbers, i.e., the set of all
{0,1}-valued functions whose domain is the real numbers.
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