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Math — Cardinality & Countability

Sizes of sets and countable vs uncountable infinity.

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|A \times B| = |A|\cdot|B|

|\mathcal{P}(A)| = 2^{|A|}

\mathbb{N},\ \mathbb{Z},\ \mathbb{Q}\ \text{are countable}

\mathbb{R}\ \text{is uncountable}