uncountable set


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uncountable set

[¦ən′kau̇nt·ə·bəl ′set]
(mathematics)
An infinite set which cannot be put in one-to-one correspondence with the set of integers; for example, the set of real numbers.
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The set author has just defined above is an uncountable set. Let us show, by applying Cantor's diagonal argument, that the set is uncountable.
In this section, author will improve our understanding of uncountable sets and cantor's diagonal argument.