Countability: Difference between revisions
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Created page with "Countability is a key notion in set theory and apeirology. A set is called countable if it has the same size as the set of the natural numbers. The way this is formally defined is that there is a map \( f: x \to \mathbb{N} \), where \( x \) is the set in question, so that different elements of \( x \) are sent to different natural numbers, and every natural number has some element of \( x \) sent to it. Georg Cantor, the founder of set theory, proved that the set of inte..."
RhubarbJayde (talk | contribs) (Created page with "Countability is a key notion in set theory and apeirology. A set is called countable if it has the same size as the set of the natural numbers. The way this is formally defined is that there is a map \( f: x \to \mathbb{N} \), where \( x \) is the set in question, so that different elements of \( x \) are sent to different natural numbers, and every natural number has some element of \( x \) sent to it. Georg Cantor, the founder of set theory, proved that the set of inte...") |
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