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Mathematics
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Set Theory
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Cantor's Theorem
Cantor's Theorem
Establishes the existence of different sizes of infinity.
📜
The statement of the theorem
For any set
A
A
A
, the set of all subsets of
A
A
A
(the power set of
A
A
A
) has a strictly greater cardinality than
A
A
A
itself.\n
∣
P
(
A
)
∣
>
∣
A
∣
|P(A)| > |A|
∣
P
(
A
)
∣
>
∣
A
∣
Source: Wikipedia