An uncountable set is a type of set that has a greater cardinality than the set of natural numbers, meaning it cannot be put into a one-to-one correspondence with the natural numbers. This concept illustrates the idea that not all infinities are equal, as uncountable sets contain infinitely many elements but cannot be counted like countable sets. Understanding uncountable sets helps in grasping key concepts in mathematics, such as limits and the continuum hypothesis.
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