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Georg Ferdinand Ludwig Philipp Cantor

The life of Georg Ferdinand Ludwig Philipp Cantor - Some Infinites Are Larger Than Others


Cantor's Theorem

Proves that the power set of any set is strictly larger than the set itself.

\[ |A| < |2^A| \]

Cantor's Diagonal Argument

A clever argument showing that the real numbers are uncountably infinite.

\[ s_{n,n} \to 1 - s_{n,n} \]

Sources: https://mathshistory.st-andrews.ac.uk/Biographies/Cantor/

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